what's up everyone and welcome into the week nine waiver wire Q&A I'm your host Simon here with my co-host as always JJ Zachary so what's up JJ open week JJ I cannot hear you right now but that is all good my man guys for those of you that there we go we got you man back my bad my bad I'm great how are you you were just doing your best JL impersonation to make me a little bit more comfortable right here leaving that mic muted coming out that's what I'm doing while JJ it was a fun week eight of football but now we're going into week nine where six teams are on by so I imagine we're gonna have a lot of waiver wire questions this week a lot of people looking for fill ins for any of the players that are on those six teams on by guys if this is your first time joining us we are here every Tuesday with JJ either myself or John Luke answering your waiver wire questions here on the Fandall YouTube twitch and facebook page so welcome and glad to have you guys in here throw any of your waiver wire questions in the chat we will get to them throughout the show before we get started though a couple reminders first and foremost if you're watching this stream go ahead and throw a like on it if you're on Facebook or on YouTube easiest way to show your support for what we're doing over here then make sure you subscribe to Fandall on YouTube and find them on their other social platforms we're talking TikTok Instagram Twitter they're at Fandall across all of them and then if you're not already following JJ it's a massive mistake for your fantasy football output make sure you're following him at late round QB as well we got some people in here ready for today's waiver wire Q&A Scott Fish what's up Scott welcome in Scott I have a question for you could you just add about a hundred points onto my Scott Fishbowl total points for the season that'd be great and Joseph's kicking us off with a question JJ right away what is your favorite DST to stream this week between Rams Vikings Chiefs and Dolphins so Rams Vikings Chiefs and Dolphins making that decision now with waivers processing tonight which one of those defenses would you be picking up yeah I mean I gotta look at the schedule real quick who do the Dolphins get again this week the Dolphins this week are playing up against the Chicago Bears Bears that's what it was I couldn't remember okay so I like the Vikings against against Washington a good bit you know obviously Taylor Taylor Haneky under center their favorites in that game their road favorites I'd probably lean that way I don't think the the Dolphins are a bad move the Chiefs I think are a good play as 12 and a half point favorites over on Fandall Sportsbook and then the Rams I would say are probably the play that I wouldn't go with because the Buccaneers can can turn things on I mean it can it can happen quickly I know it hasn't happened but it still can happen quickly I'm probably gonna go with the Vikings here I haven't done my rankings yet though so that that's subject to change but the Vikings are probably my lead I don't mind the Viking I'm probably leaning the Chiefs here I like this week and then what I like about the Chiefs as well as if you're streaming defenses they got the Jaguars the following week so you can just roll your Chiefs out two weeks in a row two weeks in a row you're good to go guys we're going to prioritize waiver wire questions here especially with the BIPOC ellipse going on so if you have a waiver wire questions throw them in there but we will answer other questions as well we got JL in here saying classic JL move from JJ leaving the mic mic muted at the beginning but Larry David in the chat wanted to know better tight end to pick up to replace Kittle this week Isaiah likely Evan Ingram or Foster Moreau in full ppr so I think that Evan Ingram's the play I mean if you have looked at his last month basically his last four games he's hit a 22 target share per game over his last four he's been a top nine tight end weekly ppr scoring in three of those four games they get a great matchup this week against uh against Vegas who is the 10th best matchup I calculate adjusted fantasy points allowed to each position which basically takes how many fantasy points allowed a team gives up and it adjusts that for who they face so strength of opponent um and Evan Ingram gets a top 10 opponent so I think all that combined I mean we got to be realistic he's seen a lot of volume he's seeing work in his offense and he's producing so I think Evan Ingram's the play yeah I'm 100% with you Evan Ingram and he's a guy that honestly I'm a little bit surprised that he's still out there on a bunch of waiver wires because he should be in every week every week starter at tight end we always talk about the tight end glob and after those top guys there's just you're praying for a touchdown or five targets right that's what you're praying for Ingram's removed himself from that glob for me yeah him and then David and Joku before the injury were two of the guys that really separated themselves so you can pick up Ingram I don't mind the play Larry um we've got a question in here from Hardik wants to know after dropping Romeo Dobbs to pick up Christian Watson this week would you try and pick up Dobbs with the Watson injury or stick with Watson he notes this is a keeper league so what are you doing with these two rookie wide receivers from the Packers yeah look I mean with rookie wide outs you're going to see a lot of inconsistency and we've seen that with Romeo Dobbs this year he looked good this past week I mean he made some really big plays um and he made up for the week prior Christian Watson obviously can't stay in the field he had that uh I think it ended up being a concussion so I'm probably going to just go with Romeo Dobbs you know he's the one who's available he's the one who's been able to get reps I think Christian Watson's just more of like a a stash if you can type of player who has some upside given his athleticism but I'm going to go with Romeo Dobbs out of these two he's the one who's been seeing you know consistent target shares in the offense because he's been available and I want to take a trip down narrative street for a second here but it's all about Aaron Rodgers trusting his wide receivers right if he doesn't trust a receiver he's not going to chuck the ball up to him he threw up a ball into double coverage in the end zone for Romeo Dobbs Romeo Dobbs had no right catching it and he came down with it for the score I think that went a long way with Aaron Rodgers and hopefully we see him kind of step up and gain a little bit more of that trust but I'm with you it's Dobbs in this case Josh Logan in here wanted to know with Bateman out do we like Devin Duvernay so what's what's the heat check on Devin Duvernay JJ yeah I mean you know without Bateman this year or sorry with Bateman this year he's seen like an 11-12 percent target share so not something that you really need to pay attention to or worry about but with Bateman out that target share jumps so Duvernay in my opinion you know Bateman that this foot injury seems to be more serious than they initially thought slash this is something that's been lingering it could be a situation where we just like don't even I'm not going to say I'm just speculating here but we could just like not see him anymore this year I mean this is the way that things have trended with Bateman so Duvernay becomes the de facto sort of number one wide out for them you know I say it likely gets probably somewhat of a boost I'm sure they're going to get creative to get him more looks in that offense if James crochet as well but I think Duvernay would be the top ad I didn't mention him on my podcast this week because he is out there or he is rostered in more than 50% of Yahoo leagues so I usually use that as like a semi-cut off usually like 40% but yeah Duvernay should be added yeah I mean and you mentioned it just because he's rostered in 50% that means 50% of your leagues out there he's still going to be sitting on the waiver wire worth a pickup I'm with you Devin Duvernay maybe temp your expectations don't expect a Bateman outing from Devin Duvernay in that offense but he's still going to be good we have a question in here from a follow-up on the Romeo Dobbs question wanted to know is he an ad in play with the Lions up next or does it depend on if Lazard plays so we're talking about picking up Dobbs maybe over Watson but is he someone you're plugging into your lineups with confidence this week I mean it depends on who you're plugging him into your lineup for of course I mean if you're in a deeper league sure you know it's not a horrible matchup I you know it just depends on who you'd be playing him over I think he's probably gonna be like a wide receiver three to four this week more than likely I'm with you if you if you've got lots of buys he is a guy that you can pick up off the waiver wire and just play though that's how I'm viewing it for Mr. Romeo Dobbs in here Logan wanted to know or Josh Logan wanted to know which backups are you stashing so on the waiver wire this week it's a busy week for waiver wire but maybe someone gets ahead by stashing a backup he listed three Breda Hasty and P Ryan are you stashing any of these guys JJ I mean if you want to I would say that Breda is probably not one that you want to go after this week because the Giants are on buy and so there's not going to be any injuries there's really no reason to hold on to him through that week Hasty you know I do think is is the the handcuff to Travis Etienne but you know will he be that that viable if Travis Etienne gets hurt I don't know P Ryan another guy who probably is the most valuable of these three so I think that adding him is fine but there's I mean you can go down the line for all these teams if someone like Jalen Warren's out there he's just naturally seeing more work obviously Rashad White if someone like that's out there Alexander Madison those are more of the high end ones versus these guys but generally speaking I'm just looking for backup running Max who would see you know maybe not all of the work that the starter would see but maybe like 70 80 percent of it in good offenses so P Ryan would be one who is at least has that going for him and he would see the past catching work at the very least plus more early downwork if something were to happen Joe Mixon knock on wood um so I'm going to say P Ryan of that group um but you know some of the other guys that I mentioned to are are higher priority than these guys any worries so Joe Mixon has struggled to be efficient behind this spandals offensive line this year are there worries that like there just isn't upside with P Ryan even if Mixon goes down that he's a worse back than Mixon he's going to be playing behind the same O line that he struggled against or does the receiving work elevate him enough that you're still interested yeah I mean my stance would would generally be that you know Mixon has been bad on the ground he's been really inefficient on the ground but P Ryan you know could will he be that much worse than Joe Mixon if he steps in with that early downwork and then he's still going to see a pretty big target share in that offense you know Joe Mixon's inching towards a 15 percent target share per game and P Ryan we know will slot in at times as their third down as their past catching back so he would see that work um and then obviously be able to like I really I think that what Joe Mixon is doing on the ground right now is pretty replaceable with anyone it's not like he's uh you know I'm generally more or less optimistic about a backup when it's like someone coming in for Nick Chubb when Nick Chubb is going to be really efficient with his touches on the ground so I think P Ryan would would probably be able to do what Joe Mixon is doing but there's other players there that could be involved as well that makes sense makes sense we had another waiver wire question in here DJ relating to the Bateman injury wants to know what about Isaiah likely is is he worth a pick up in a play this week at the tight end position yeah look if we know that Mark Andrews is out then Isaiah likely is probably the top tight end streamer this week I'd be really into him he had a 21 percent target share this past week with marking I'm with Mark Andrews uh getting banged up uh you know he had uh six catches 77 yards really good outing uh and then when you have Rashad Bateman banged up you would have Mark Andrews hypothetically out so yeah I mean like Isaiah likely makes a lot of sense uh if things sort of formulate and come together for him we had a couple questions in here about George Pickens with uh the Chase Claypool news he's going to the Bears um DJ asking does Pickens get more work with Claypool out Tyler asking is Pickens now the wide receiver too with Claypool going to the Bears he's rostered in over 60 percent of Yahoo leaks right now but he's still sitting out there on the waiver wire for some people how are you viewing George Pickens after this uh this trade of Chase Claypool yeah look I mean Chase Claypool was seeing like a 17 percent target share in that offense and that that's usually the way that I look at this stuff is that I'm looking at target share and how that can be sort of displaced from one player to another so you're probably going to see a little bit of a natural boost at Deontay Johnson a little bit of a natural boost to George Pickens and don't sleep on Pat Fryermouth either I think Fryermouth is one guy who's really intriguing now uh because he plays that middle of the field he's a tight end obviously Chase Claypool plays a slot or he has been playing the slot and so what you're going to see is a lot of those looks funneled over to Pat Fryermouth instead I really wish Calvin Austin were healthy um uh because you know they drafted the the speedy guy who could play the slot hypothetically for them but it sounds like he's just not ready to to get going yet um I think it's a foot injury that he's dealing with so uh you know you have Pickens and Deontay both probably getting a target share boost now it's Pickens a he's the team wide receiver two but is he a wide receiver two in fantasy probably not I would say what we're looking at is probably like a low-end wide receiver three still um but I do think that he absolutely should be rostered you know across fantasy now that that Claypool's 17 target share is gone it's still the Steelers offense right the one we've been watching all year and it's still Kinney Pickett under center even if there's another body out of the way Cyclone here agreeing with you though that Fryermouth's going to get a bump potentially with Claypool going out over there and uh Cyclone an interesting question for us JJ I'm going to need your help on this one because these are two of my favorite players probably my most rostered tight ends across all of my leagues this season Greg Dulcich and Evan Ingram um which one do you prefer this week versus the rest of season if it's a different answer yeah well this week Dulcich is on by because the Broncos are out so that one's that one's easy to say uh for this week uh I would go with Evan Ingram rest of season I think it's pretty close I think I maybe had Dulcich ahead of Ingram and my rest of season rankings but I would assume that it was pretty close um so you know I don't have like a strong strong lean here I honestly if those are your two tight end choices I'm not against you just rostering both and sort of just playing my matchup each week I think that's sort of the way that we sometimes need to go um you know whenever you don't have a stud tight end and you're just kind of playing my match I'm hopefully you can put something together to match what some of those higher end tight ends are able to do so my answer is kind of a cheap one I would roster both if I had to choose it's probably Dulcich over Ingram but I think Ingram is really undervalued in fantasy right now Ingram is wildly undervalued I think Ingram is a little bit safer I think it's targeted through yeah eight weeks has been so consistent that we know what we're going to get smaller sample size from Dulcich but if I have to pick on with you I'm picking Dulcich I love that upside I love what he's done since he's been on the field surfer dude in here what's up brah said would you be adding Deon Jackson Deon Jackson with Jonathan Taylor coming out of the last game banged up you had him as a sell so maybe without Matt Ryan it isn't worth it with Jackson anyways what do you think about picking up Deon Jackson especially with the Naeem Hines trade rumors right yeah I mean if Naeem Hines gets traded you gotta pick up Deon Jackson but I think without a trade uh you don't need to to uh to do that by the way I think that there is a uh there's a trade I saw someone talk about was there a Chase Edmonds trade that just Joseph saying chase Edmonds got traded to the Broncos is what he's saying do we have confirmation of that sounds right it looks like uh yeah so it looks like oh it was part of a Bradley Chubb deal oh shoot well that's just kind of buried the lead didn't it chase Edmonds headliner yeah like chase Edmonds was literally a throw-in so it's a 2023 first a 2024 second and chase Edmonds that's what Denver gets uh and then Miami gets Bradley Chubb in a 2025 fifth so they're getting that first round pick and then they get chase Edmonds as well I mean I think chase Edmonds is worth an add yeah I mean we see two geriatrics in the backfield of Melvin Gordon and Latavius Murray um I think what this does is really caps Melvin Gordon's receiving upsides we saw him running more routes in Latavius Murray I'm assuming that chase Edmonds would play that role I think it's more so a mess than anything else like I would highly doubt that chase Edmonds becomes you know an RB2 in fantasy but is he a bi-week fill-in maybe he grows a role maybe in a ppr format um you know I think you should add them probably just in case just to see what happens and sort of like what the beat reporters are saying during their bi-week and how he might get integrated um but you know my my inclination is to say that Edmonds will not be super super fantasy relevant because we've seen them split that backfield all year even when Givante Williams was healthy I mean it's just you know they were starting to give Givante Williams the workhorse role and then he tears his ACL but you know we're seeing them just split that backfield I think that's what they would want to do and chase Edmonds is not someone who commands a high number of touches no uh the one thing is like we've seen the Broncos sign a player and then immediately give them the most carries in the next game right like we saw that with Latavius Murray it seemed like uh full go ahead for Melvin Gordon and then exactly like you said here comes Latavius Murray um off some practice squad and he's the lead back all of a sudden in a in a committee so what what this does do is it should make you feel even more confident than you should another guy you know he's like the ebb and ingram of running backs is Raheem Mostert I mean it's just someone who is getting a ton of work he's the workhorse in that backfield uh you know he was a bi-candidate for me on my podcast this week because number one I don't think people realize how good he's been in the kind of workload that he's been seeing but he's coming off a down game this past week too where a lot of people had high hopes for him against Detroit now you don't have chase Edmonds potentially stealing uh receiving work from you or just you know being that extra guy and then it would boost someone like Miles Gaskin who's next on that depth chart so uh and we know that Raheem Mostert hasn't been healthy throughout his career so Gaskin all of a sudden Undertaker.giffing this season uh you know Gaskin just finds a way to to have some usability it seems like each year and he might have some usability now down the stretch he's another guy who then becomes one of those handcuffs who we're talking about earlier. God if Gaskin is the 2022 playoff running back like like the one that gets that role end of season and leads team to championships it's I'm not sure I'm ready for that JJ we got another question in here from uh from Yosu wants to know um they just traded JT Taysom Hill McKinsey for Mike Evans and George Pickens how do you feel about that trade JJ are you feeling all right about it or I think that you probably could have gotten more uh for for Jonathan Taylor or having Jonathan Taylor in a deal like that I also would have probably waited just to make sure Naheem Hines doesn't get doesn't get dealt I talked about that a little bit on my podcast like I think you know there's like if Naheem Hines gets dealt I think that Jonathan Taylor can be sold regardless because like if you look at how people are ranking him right now he's being ranked very confidently in like the top 10 overall when I think he's more of like a top 20 guy um and so I understand wanting to get rid of Jonathan Taylor here um Mike Evans decent piece obviously like he's not that much further down my rankings list but um you know I just I think the market probably likes Jonathan Taylor a little bit more than this is basically how I feel about it I don't think it's like this like horrifically miserable trade especially if Pickens sees an uptick in target share without Claypool but I do think that you could have gotten more with Jonathan Taylor in the deal I'm guessing to make this move you've got other backs that you're sitting pretty with some other some other backs that you're happy with maybe Josh Jacobs you grabbed later and he's shown up for you throughout the season so far exactly you got some stuff to do but I do agree with a name like JT or CMC or like Austin Eckler make people overpay whenever they're trading for them because they will because they've got that name recognition and the positional scarcity Mr. Scampers wants to know who would be a better IR stash in your opinion so if you're picking up one of these guys to put in your IR Traylon Birx or Rashad Bateman probably Birx at this point because he's going to come back sooner it sounds like I mean Birx's injury you know I follow Edwin Polteras from fantasy points he's someone who keeps track of the injury stuff and he's a he's a doctor and you know he knows about the stuff better than I do but he was someone who mentioned that you know the volatility of the turf toe injury for Traylon Birx isn't that bad when he does return so you know we shouldn't be that concerned about it really like hurting his performance per se I have Birx ranked higher I believe my rest season rankings than Rashad Bateman right now and it's basically because you know I think that Birx is going to be available before Rashad Bateman will yep it goes back to what we were talking about earlier I'm nervous about this Rashad Bateman injury all the news coming out just makes me more nervous we got daddy fan duel in here asking any news today no it's a pretty slow day nothing really happened but with the nothing that's happening we did see another big move a tight end moving teams TJ Hawkinson leaving the Detroit Lions getting traded to the Minnesota Vikings so JJ how do you see this target share breaking down in Detroit now if one of their main targets leaving yeah so they have Mitchell and Brock Wright as their tight ends who are going to be elevated you know Wright's been the one I think Brock Wright is who it is he's been the one who has seen any routes basically this season so you know I think that he's probably like the immediate guy who would benefit see the biggest jump because he's going from nothing to something with that being said I think that the biggest winner is probably Amon Ross St. Brown I mean he Amon Ross St. Brown plays a slot Hawkinson obviously lines up there we've seen ARSB just get peppered with looks especially without TJ Hawkinson like we saw last year but he's still getting peppered with looks even this year in games where he's been healthy so I think that that Amon Ross St. Brown has a chance to be in that like 28 to 30 percent target share per game range for the rest of the season and if we see that then we have a chance to see some fireworks down the stretch I mean it's a very very big one for him in particular and then you know Hawkinson going to Minnesota they haven't targeted their tight ends at a really really high rate but targets go towards talent right so TJ Hawkinson is an upgrade over Irv Smith who they seem to not like that much even before this injury happened to Irv Smith so I do think that Hawkinson you know will probably still command like an 18 20 percent target share Justin Jefferson probably remains the same maybe this hurts Adam Thielen a little bit from a target share standpoint but it's probably more more neutral for all those guys and maybe a little bit of a boost for TJ Hawkinson just given the offensives moving to should be a little bit more efficient so Amon Ross St. Brown a big big bump for him I think and TJ Hawkinson I think it's a pretty good landing spot overall for him that was going to be my question is this a is this a bump up for TJ Hawkinson or is he going down a little bit lower because maybe there's more talent on the field around him as well RG had a question want to know QB stream this week fields T-law or other who would you be streaming JJ Justin Fields need to be mastered in fantasy football everyone I mean like like it's wild to me that people have this anchoring bias with Justin Fields after what he did the first month of the season the last four weeks he's been a QB1 in fantasy football he's actually ranked as a top 12 quarterback in each of his last four games he's run the ball more he's run it twice two more times per game over his last four versus his first four he's averaging 33 more rushing yards per game over his last four versus his first four Justin Fields is a great schedule over his next three games you need to be adding him and you need to be starting him he's a QB1 right now in fantasy football and now he gets chase Claypool which say what you want about that trade probably not the best deal for the Bears but you get another weapon for Justin Fields a guy who can stretch the field guy who can really do a lot you know I think it's it's it's good news overall for Fields yeah I'm with you it's Fields I've been beating this drum like people are ignoring what he's done because the the Bears offense was so bad at the beginning of the season but you're right he's had 60 rushing yards in like three of his last four games and not only has he been a QB1 that many times he's been a top five QB two of the past three weeks depending on four point or six point passing touchdown but he's killing it right now and I think people are shocked when they go pull up those leaders list and they see Justin Fields sitting there at like number 10 doesn't seem like he should be up there but he's been absolutely killing it another quarterback question but this one from Cyclone a little bit more but maybe a player on the decline instead of a player on the up he wants to know is Tom Brady droppable should I pick up like a Marcus Mariota for him so what are you doing with Tom Brady it's been very disappointing for fantasy so far this year I still think Brady's like a low on QB1 you know like like you can maybe put like a cousins ahead of him now with the Hawkinson move and stuff like that but Mariota is still pretty tough to trust in that offense it's going to be that's going to lean run heavy that means their touchdowns are going to lean run heavy as well so you know I would much rather have Tom Brady then Marcus Mariota and just hope that they can kind of get there you know what together because clearly things aren't clicking fully right now but it's Tom Brady things things can turn around fast with an offense when you have Chris Godwin and Mike Evans and that backfield pairing of four net Rashad what if Justin Fields is sitting there on the waiver wire and you've got Tom Brady at your starting quarterback are you picking up and starting Justin Fields over him or are you leaving Tom Brady and continuing to roll with him I think I'm cool with with rostering like this is one of those years where it's fine to roster multiple tight ends roster multiple quarterbacks you know Fields I think has more upside than Tom Brady for sure like if you want to especially you know just going into this week I would play Justin Fields over Tom Brady I think people need to recognize just I mean I like you know I've been talking about this for a few weeks now with Justin Fields but we do need to recognize just how important rushing is to the quarterback position in fantasy football Justin Fields like averaging you know 60 yards rushing yards per game what have you that's a touchdown and a half in a standard scoring league and Tom Brady is not even guaranteed to get two or three touchdowns in the game so you're getting a massive massive boost with Fields and they're letting them loose a little bit more and then again you know they're adding chase Claypole to this offense so I'm optimistic about Fields especially the next few weeks because they have an easy schedule so I'd probably take them over Brady but I'd like to roster both Brady's a safer option of course but I'd like to sort of roster both yeah and I was looking at the bear schedule earlier this week JJ because like you said he's got an awesome schedule coming up but in weeks 16 and 17 you might want to have another quarterback ready for this fantasy football playoffs he's got the Eagles and the Bills in those two weeks so maybe don't drop Tom Brady it could not be worse for him in the fantasy football playoff so maybe write him to the championship and then and then put someone else in there to start for you. Born to Laugh wants to know is it safe to drop Robert Woods for Marques Valdes scantly? I mean I actually have MVS one spot ahead of Robert Woods right now my rest of season ranking so sure I mean it's it just neither these guys are going to do it for me so it's it's really which guy do you like more which number do you like more honestly like that's that's the that like you could you could you could go to a lot of directions I'd probably lean MVS just because the offense he's in that's why I have him one spot ahead of Woods but you know neither of them are really going to do it for me. Does Cadarius Tony's addition to this team affect how you're viewing MVS at all rest of season? Maybe a little bit you know I just I think the Tony thing is a longer term thing than maybe a 2022 thing with that being said I you know it's very possible that they get things to work right away but I think it's likely more of a longer term thing and Tony just kind of being a gadget player for them this year but I'm hoping you know I'm I like Tony I hope that that's not the case. He's one of those guys where every time he touches the ball you're like why isn't he doing this morning so hopefully we get a little bit more of that with the Chiefs. Larry wanted to know London so Drake London was dropped in a league that he's in is he still an ad for yours this Falcons 1940s passing offense not worth investing in? I mean I think Drake London should be rostered but he's one of those guys that you're probably not going to want to start. You just have to sort of wait and see if this Atlanta offense changes the unfortunate part is they have a really easy schedule but maybe they switch the quarterback position up maybe Desmond Ritter eventually gets some looks the problem is that the Falcons are winning they're playing fine and so because of that I don't think anything's really going to change so you know if you're in a shallow league or something then you can leave Drake London on the waiver wire but if you're in a 12 team league or more Drake London should be rostered still. Yeah I'm seeing this in here Jeff Wilson to Miami from multiple people over there so Jeff Wilson to Miami does that affect anything we said about the running backs there earlier where he most or miles Gaskin, Salin Ahmed? Yeah it does a lot that changes a lot but by the way it's just like like Miami's just become San Francisco East right because they have they have just the coaching staff shifts over there and then you get the running backs and stuff but yeah so I do think this is important you know I talked about that Raheem Moser being a buy no longer a buy you know with this trade sometimes this kind of thing happens Jeff Wilson's an effective back he's someone who probably will get run and I'm I'm kind of envisioning sort of like a 55 to 60, 40, 45 type split between Raheem Moser and Jeff Wilson now this is bad for Raheem Moser I mean it's definitely not a good thing overall for Moser if they're going out actively trading for a guy like Wilson so um yeah this this is not this is not great news this is also just all these moves are just ruining my spreadsheets too. All on a Tuesday right they didn't even stagger them over the week before this just gonna make you do all that work in one day um Darrell had an important question wanted to know JJ do you put honey in your chamomile tea? I do not I uh I only I only drink it plain I'm a weirdo and I drink more chamomile tea than anyone on this side of the Mississippi I mean I I I drink a lot of chamomile tea it's amazing that I don't fall asleep during these live streams because it's supposed to be it's just a very like calming and soothing thing to drink and I like doing it when I'm talking to people like you where I can just chill out hang out get some good vibes going talk fantasy football while I just sip of my on my chamomile tea I gotta I gotta fire up some chamomile next time JJ get in the same place as you before we go one more question from Jay in here he said should I drop James Connor for Justin Field so if he needs a quarterback do you think James Connor is a droppable player right now? No you gotta wait you waited this long with this injury you got it you got to hold James Connor because we know that the upsides at least there. Absolutely I'm with you you can't you can't drop a guy that's potentially gonna be a starting running back whenever he comes back that it's his job right it's his job to have as soon as he comes back into this offense everyone thank you so much for joining us this Tuesday for our waiver wire Q&A we will be back next Tuesday same time two thirty p.m. Eastern time to answer more of your questions a reminder before we go if you're not already following our friend JJ on Twitter go and follow him right now at late round QB he's the man with the numbers the data and the advice to help you win your fantasy football leagues it's right there below his handsome face on the screen we'll be back next week but until then we're out of here JJ always fun my man thanks so much you too man thanks we'll see you guys later


All right, it's Wednesday the Dow Jones industrial average hitting a fresh record high We're on the floor of the New York Stock Exchange with Jim Kramer to break it all down Jim Let's start with reports of Gary Cohn being considered for Fed chief I think that that actually is a market mover because I think that Gary Cohn is regarded by everybody on Wall Street I'm really mean it. I've never heard a bad word said about Gary other than when he bashed it ahead If you didn't make your numbers But it would be interesting to have a non theoretical person at the Fed because one of the problems that the Fed has They've got the trillions of bonds and that is something that an academic may not know how to get rid of But a practitioner would so this particular moment It would be who the Fed to have someone who actually understands The integral nature of the financial market so they can sell those bonds without hurting Meanwhile Bank of America with a note talking about a delayed iPhone 8.  They're the coolest people in the room Apple's a consumer product company, and they're not going to release a product if it isn't perfect Even if they miss the Christmas season, it's not their style So those who are basing their numbers on whether it can get out or not are missing the big picture Which is that this is a consumer products company that will not release a product before it's time All right, also your dog Everest and video had a good morning. Yeah, yeah ever since just you know look ever since been perky ever Scott knocked down by By left by Angela and Citron, but you know what ever is just recharged got right back on the bed took a little nap And now ever since a crouching tiger, although he is a dog And that's why he is in video. He's bouncing right back And I think that those who trifle with him have been bitten He has been we always have to put him in his crate when anyone comes to the door because he's a ferocious defender of Lisa And we'll bite anyone and that is the definition of NVIDIA. And what about bug? bug Chevron and you know 40 to 50 trading range kind of not really Show them much frankly hoping for a good inventory number Realizes that the world is not under his control unlike NVIDIA And he really is just kind of sad. He's sad that he's in oil stuff. Maybe he'll get there one day Yeah, I mean like you know someone posted a really good Picture of their dog that looks a lot like NVIDIA, but I turns out that it's brought come Love that All right, Jim, let's also talk about your mad dash or your stuff trading segment Western digital Wow, you know Western digital mean a lot of people don't understand the court system They filed to get a couple of temporary and temporary injunctions against Toshiba in order to be able to get some records from Toshiba and also actually to block the deal They want the temporary restraining order to get the records that is a that is a huge Victory for Western digital and it says basically to Toshiba All right We can't really negotiate with any bills because they'll have if they get a TRO Against what Western digital against Toshiba selling it to anybody else it's finished because there are lawyers involved in these deals And no one wants to deal deal with a situation where they could be subject to a TRO from a San Francisco district court Since that's where all the bidders are located Also Twitter has a new CFO. Yeah, I'm surprised this talks up this much because you know look the guy Worked at Goldman. He worked it into it. I'm sure he's a fine man But you buy Twitter because of the numbers and I'm not seeing that I mean maybe by comparison to what's going on at snap But I you know, I think Twitter's having an okay quarter I still believe that Jack Dorsey did a great job by the way at Square I'd like them to spend more time there, but Sarah Fryer doing the day-to-day at Square Square Someone should buy Square nine billion. It's a fabulous asset PayPal I don't want showman's doing so much. He doesn't need to he's opening a credit division himself But I do think that Twitter should be going up on something else or it may be going up on something else other than the CFO You talked about PayPal on mad-dash. Yeah, well PayPal dance showman is Remarkable people wrote them off repeatedly against the visa mastercard against Wells against Google Against JP Morgan and of course against Apple now Apple is letting PayPal into the into the ecosystem And that's a huge win PayPal could go up substantially from here even though it has already had a very big you mentioned snap earlier Barclays says it's a buy post-lockup period Look, I think that the prescription for Barclays that Barclays should have laid out that I will lay out for the people who run Snap is first you have to just you have to round up all the people who are in the 711 million shares that are coming off and get their commitment to not sell then you have to release the short form videos that you're working on and Give us the slate of advertisers to show that the return on investment is actually Coveted by some of these advertisers. They have to do that. Will they do what they don't have to do anything because they have this They own the stock then I you don't have any voting worse if you own the stock But that's what they should do and I'm giving them that game plan just because like I feel bad for them And like you said the other day I was walking the street Evan Spiegel should come on air Yeah, Evan should just come on air and say exactly what I said He shouldn't say anything else other than what I just said though. So that's the script Evan There you go. All right. Let's also talk about earnings to watch. We've got Delta Airlines on tap You know, we had a really good prize a trasm number Which is a very important number from American air And I think that that's a great arbinger, you know, Southwest had a great number That's an actual hurts named fabulous number But some guy at some firm downgraded it because the stock had gotten ahead of himself So to speak I mean really Southwest is by far the best and you're always going to get a premium multiple for that I suggest you buy Southwest air not buying American. I like American, but I like Southwest more All right, we also have the big banks earnings on Friday. Yeah, we also have Delta too by the way Delta's gonna import from the interim I think Delta's gonna be affected by good good numbers not as good as American perhaps The banks are going to be difficult I'll tell you why because the the Yellen testimony Which also has the market going because she's basically say a little bit put some raid hikes in but not no real hurry It's not gonna hurt the market. We're gonna sell the bonds I hope Gary Cohen's selling the bonds, but you know, you need to see rates Really back to where they were earlier in the spring to get these banks to have the number number Bumps that we want see one of the things that's happened is the banks report nobody bumps the numbers No one says anything other than now was a good quarter now We know that if you're a tech stock you you get the raised forecast you get things going JP Morgan went very much to raise the forecast on higher rates and when the Fed raising The short rates and you need both those to really get the stock to go to 100, which is my price target I remain committed to any city. We did trim some Wells Fargo yesterday Because we just felt that it was just out of whack I like key better than all of them key is the one that has done to be able to give you the bump earnings bump because he bought first Niagara and he was one of the no banks can't buy any of most of the large banks Can't buy any others because the concentration is so heavy, but Beth Mooney bought first Agra in the act and it's been a very very good acquisition Are Jim you just mentioned a bunch of action alerts plus names you have a call for club members in just about an hour Yeah, yeah, and the club members are going to hear they've asked repeatedly for if you didn't have any stocks Which of which would the ones the stocks you would buy meaning that we are very Committed to not violating our basis and get rich carefully I've got a 20-page explanation about why we don't like to violate our basis and how wrong it's been to do But a lot of people have just joined the club and we've got to react to them and say listen if I just joined the club Here's what I would buy so we're going to trace out that I'm going to give you my Overview of where I think the economy is and and why I like the market and then we'll answer a School of questions that we got from our forum that I think will be best for everybody who's involved in the club to hear Alright go to action alerts plus comm for more Jim Kramer. Thank you so much


It's okay, this one peed on the thing. Yeah, he's peeing again on it. What do you think George is gonna say? You're rescue the dog. What do you think? Sandy's outside. Okay, cool She's like what? I'm gonna see some girl never heard that noise you're not too happy Ties like that. Look at Randall's face. She's like I don't know if you can see. She's like Looking like what the hell? What do you think Sandy? This one peed on the thing. Yeah, he's peeing again on it I just like how this dog's like calm around the birds. He's so chill. Yeah, this dog's not so much so calm around Yeah, so this dog's going home with Jenna. I'm just seeing him like peeing everywhere outside the market territory. I'm like George may not be as excited as I thought. What do you think George is gonna say? Okay, here's where I'm at because I don't want to make it all look like Roses, you know, so you hear Jersey screaming her head off downstairs That's cuz she can't see me and she knows I'm here and that's one of the hard things about having a cockatoo Like I couldn't go in another room and like think with clarity. I couldn't get work done with clarity, right? Like so usually if I just have her with me, she's chill. It's it's no big deal. So First of all in the bird world if you wanted a bird You'd have to be accustomed to The idea of if you don't want to hear that, you know taking Hanging out with your bird all the time a lot of time Don't get me wrong. Everything I say could be construed one way or the other bottom line is Worst case scenario. Yes, your bird will be screaming when you're out of the room not all the time just What am I saying bottom line is jerseys dreaming and when I go downstairs the dog is Panicking now the dog right now is in a crate. The reason he's in a crate is because so far George has not been here He's not been home and because of the safety of the birds. I don't know how that's gonna work out yet We always take extra precautions The dog is in a room here that no one goes in and there's no other animals in and also in that room He's in a crate. We went to dinner actually I took him out. He's such a good behaved dog but when I'm downstairs and he knows I'm downstairs he's banging in the crate and So I kind of I'm in this room just hanging with him. I have a feeling he's gonna fall asleep right now But I'm gonna just show you what he did to the crate Yep, and he moved his blanket the crate thing up. So So my game plan was gonna be to hang in here a few minutes soothe him and then go downstairs and Feed all the birds and get them to bed so I can have a long time with him and when George comes home be ready I was so exhausted. I took my hair off, okay? I was like I need to regroup.  I didn't I mean I did rescue We're only Was this dog was scheduled to be euthanized today at five. Oh, no way. Yeah, no way. Yeah, hello there, buddy So girl your boy a body. Oh wait Dear buddy, what's his name? James Dean James Dean Where's Sandy? Does she know? Yeah, she cool with it. Yeah, she's fine.  She did So we saved James Sandy with him. She's fine. She didn't like 55 dogs were scheduled to die at 5 p.m. Today. Well, we got two between us How is he one when he's old?  It's hard a big dog. Huh big dogs are hard He's a little bear. I don't know. He's really sweet I mean, I haven't introduced him to any birds because I because I like didn't we're gonna see how he is I couldn't do it myself and hold the camera or anything. You really make them out. He was outside. He's such a beautiful dog. He already dented his crate He did that. Yeah, he doesn't like being in there. I think because you know, he's been in the kennel Oh, he's been in there. He was scheduled to die today So he's been in there months and months. So he doesn't like this thing. It's like bothers him But if he was out, he didn't even jump on the bed I put this whole blanket in case But he didn't jump on the bed or anything knows not to I don't know He came and kissed me and then he just went and lay on his bed. He's cute, right? Looks like you're kind of dog buddy That's a good buddy. There's like there were so many that usually they're supposed to be two to like a You know, jail or whatever you call it And there were three to a thing and there's no room and so Some of them have to get put down just because they're get stressed like he was gonna die like Three hours after we got What do you think of that? That's crazy. What about the cats? How's it okay? I am about I can't manage anything. I was waiting for you to introduce him maybe to the cat right now I'm down, okay You want to go after her or what? I don't know. Sit. Good boy. Come here Callie baby. Come on mama's baby. Callie come here. Callie come here. You're so cute What is that doggy doing here? And it's probably time for me to go to sleep for someone to shower. Good night. I love you guys Thank you guys so much for watching Remember if you can help out a small local rescue, they are often pulling dogs from shelters and doing some real work out there So I hope you learned something today and I will keep you updated on James Dean. Bye


Any society is probably as prosperous and as developed and happy as its healthcare system and central to any meaningful development planning. Must be a plan to improve access to quality reliable functional and affordable healthcare for the citizens. Mr. President has in several public statements made it clear that a modern viral and people centric healthcare system was fundamental to his own vision for the socioeconomic growth of our nation. However, the current reality is that the Nigerian health sector and we've heard quite a bit on that from the Minister of Health still carries some critical challenges which have resulted in suboptimal outcomes when compared especially with healthcare systems in more developed jurisdictions of the world. This is due to a variety of factors including fragmentation of healthcare, health service delivery, insufficient healthcare financing, inadequate motivation and poor distribution of health workers, inadequate infrastructure and equipment and relatively low private sector participation. Some of these factors have precipitated significant revenue loss due to growing medical tourism and even the loss of our trained personnel and that is a frightening phenomenon even now. Government has the primary responsibility to address these issues and to put in place the structures and arrangements necessary to boost the efficiency of the healthcare ecosystem, improve healthcare delivery, stem the brain drain of our health personnel and reduce the pressure that we currently have on our foreign reserves, on account of medical tourism. In furtherance of that objective, Mr. President approved the establishment of this Health Reform Committee to commence the development and implementation of a wide-ranging health sector reform program for the country and we already have the terms of reference and there have of course been a good number of attempts to reform the healthcare system in Nigeria and of course many of us who are members designate of this committee are familiar with some of these reform efforts but this particular journey of reforming the Nigerian health sector and we've heard I think quite comprehensively on that from the on the Minister of Health began with the commissioning of a diagnostic needs assessment of the sector and subsequently the National Council on Privatization at its meeting of April 12, 2019 also approved the appointment of consultants to carry out the assignment and this involved a review of previous reform efforts in the sector as well as field visits to 55 tertiary health institutions across the country and some selected subgeneral health institutions. It's perhaps also important to mention that a series of stakeholder consultations were carried out with relevant ministries, departments and agencies, health unions and key stakeholders in the sector. So the report of that comprehensive effort is probably what has brought us to where we are today. As mandated by Mr. President, the Health Sector Reform Committee is tasked with a crucial role of reviewing these reports and staring the direction of the needed reforms. On account of the multi-sectoral and multi-disciplinary participation that is required to execute a health reform mandate on the scale and the complexity that we have today, I'm personally keen to ensure that the coordinating office for the reform effort which is domiciled in the office of the vice president will not just have the ministry of health of course the ministry of health is the important partner but also some of the important technical resource persons provided by our partners and of course you know the solid representation also from the committee. The coordinating office will provide technical and administrative oversight of all of the activities of the reform and I intend to further consultations to the honor minister of health as we bring this to fruition. So the next steps and I think the honor minister of health again had presaged some of what this will what will happen is that this committee will then be divided into thematic working groups to take on various aspects of the assignment. We've received commitment of funding support to engage experts who will also be assigned by the secretary to the various teams so in addition to members we would also have sector experts for the thematic groups who will be engaged these will be professionals will be engaged to support the thematic groups themselves. I hope that at the next meeting of the committee which will be convened shortly the proposals for the thematic groupings and terms of reference will be presented for concentration ahead of that ahead of that we will send around these thematic groupings the names terms of reference etc ahead of this meeting so if there comments or questions those can be raised forwarded to the coordinating office and if there's any additional if there are any additional ideas those could also be forwarded but at the next meeting there will be a quick run through of the thematic groupings and what their tasks will be and we'll at least satisfy ourselves that we're on the right track following that each team will commence work and periodic reports will be presented as time goes on for our full committee's consideration. So let me thank in advance all members of the committee for offering their time and resources for this very important national assignment and I hope that just as you committed yourselves to this as time goes on we will of course demand more and more of your time and of course more and more of your expertise and I hope that you will be willing to provide all that expertise but only to say for now that we really all thank you very much for your contribution so far and we hope that we'll see even more dedication and commitment as we go along. Is there for my very special privilege and honor to inaugurate this health sector reform committee for the benefit of the people of Nigeria and to the glory of God. I thank you all for your attention.


Before we consider the details, recall from the hydrogen atom video that it's convenient to work in so-called spherical coordinates, where r is the distance from the nucleus to the electron, and the angles theta and phi are basically the longitude and latitude of the electron. Hydrogen orbitals are characterized by three quantum numbers. n specifies energy, l specifies angular momentum, and m specifies the z-component of angular momentum. Now we'll sketch out a derivation of the Hartree equation. We start with the one-electron Schrodinger equation. We assume the solution can be written as a radial part that we write as 1 over r times a function p of r times an angular part y of theta and phi. The quantum number n will be associated with the radial function. The quantum numbers l and m are associated with the angular function. This part is what specifies the angular variations associated with the spd and f orbitals. Substituting this factored form into the Schrodinger equation, we arrive at an equation for the p function. Roughly speaking, it looks like minus one-half the curvature, or second derivative, of the p function times the potential function in brackets, times the p function equals the energy times the p function. The potential energy term, depending on quantum number l, represents a centrifugal force that increases with increasing angular momentum. The remaining potential energy consists of a nuclear attraction term and an electron repulsion term. Writing out all terms, we have the Hartree equation. This is the Schrodinger equation for a one-electron orbital, assuming the angular part is identical to that of a hydrogen orbital, while the radial part includes the average potential energy of the electron repulsion computed using the central field approximation. We can rearrange this into the form shown here, where all the potential terms are combined into an effective potential. This equation can't be solved analytically, but it's simple to solve numerically. For a small step size delta, the curvature term can be approximated as shown. Putting this into the Hartree equation and rearranging, we get an expression that tells us how to calculate p at r plus delta, given p at r and r minus delta. p is zero at zero, and p at delta can be set to an arbitrary small number since at the end we can scale the entire result as needed. Then we can run out this formula to any r value we choose. There are just two things missing. First, we don't know what energy value to put into the equation. Second, we can't compute the effective potential without knowing the electron orbitals, but we can't solve for the orbitals without knowing the effective potential, a real chicken and egg problem. To solve the first problem, Hartree took a trial and error approach to calculating energies based on the following fact. If we set up the Hartree equation for the hydrogen atom and put in a correct energy, running our formula produces a correct wave function, but an energy that is a bit too high gives a wave function that eventually diverges to infinity. For an energy that is a bit too low, it diverges to infinity in the opposite direction. If we run our formula for two energy values and get results that diverge in opposite directions, then we know that the correct energy value is in between. This is sometimes called the shooting method for solving equations of this form. The shooting method works for all energy levels and wave functions. Combining with the hydrogen 1s energy, we get the 1s wave function. As we increase the energy, our result initially diverges, but eventually converges back to zero when we reach the energy of the 2s orbital. From there, increasing the energy causes divergence in the other direction, but then eventually converges back to zero when we reach the energy of the 3s orbital. In this manner, we can find the energy and wave function of any orbital. If that problem is solved, we turn to the chicken and egg issue of the effective potential. Hartree named his solution the method of the self-consistent field. The Hartree equation for the i-th electron depends on the repulsion it feels from each of the other electrons. For the j-th electron, this force depends on an effective charge Q sub j. This effective charge depends on the j-th wave function, and this contributes to the i-th potential. So the i-th wave function depends on the i-th potential. The i-th potential depends on the j-th wave function. The j-th wave function depends on the j-th potential. But the j-th potential depends on the i-th wave function. So we have a circular set of problems. Hartree found that if he started with some gas for the orbitals, and then ran through this circular process of enough times, the orbitals eventually converged. The final orbitals formed a self-consistent set. Every orbital ends up being consistent with the equations for the other orbitals. Let's see how this works by performing a self-consistent calculation of the helium atom orbitals. Our initial guess for the orbitals is nothing. The first electron sees only the nucleus, and we obtain a hydrogen-like 1s orbital. Now we freeze this orbital and use it to calculate the potential that will be seen by the second electron. Solving the Hartree equation for the second electron's orbital, we get something slightly different than for electron 1. Now we freeze electron 2's orbital and recalculate electron 1's. The repulsion due to electron 2 causes electron 1's orbital to spread out a bit. Now we continue freezing one orbital and solving for the other until we see no significant change in the orbital energies. The result is a self-consistent field in which the two electrons have identical wave functions. We find, as did Hartree, that the orbital energies are close to minus 25 electron volts. The ionization energy of helium is about 24.6 electron volts. The close agreement of these values suggests that Hartree's method might provide a good approximation to the actual wave functions of multi-electron atoms. For lithium, with three electrons, we have to consider the exclusion principle that we discussed in video 8. Only one electron can be in a given quantum state, including spin, so only two electrons can occupy a given orbital, one with spin up and the other with spin down. The third electron of lithium, therefore, has to go into an n equals 2 orbital, either an s orbital with l equals 0 or p orbital with l equals 1. The s orbital has lower energy, so it represents the ground state of lithium. The 2s orbital energy of minus 4.79 electron volts is in rough agreement with the observed lithium ionization energy of 5.39 electron volts. Once we've solved for all the electron orbitals, we can combine the squares of the radial parts of the wave functions to get the total electron density of the atom as a function of radial distance from the nucleus. These values for helium are shown in this table from his paper. Here we plot those values as red dots and our calculations as a solid line. It's interesting to compare this to the hydrogen 1s orbital density and the helium ion 1s density. We see that the two electrons of helium are considerably more tightly bound in the atom than the single electron of hydrogen is. So although helium has two electrons, it actually forms a smaller atom than hydrogen does with a single electron. Hartree also presented a self-consistent field calculation of the orbitals of the rubidium ion with 36 electrons. Here we plot his total electron density results as red dots and our calculation is a solid line. We find that the outer electrons are broadly spread out to radii a few times that of the hydrogen atom. Zooming in we see how the electrons arrange themselves into shells, corresponding primarily to the quantum number n. The innermost shell of rubidium containing the two 1s electrons is very tightly bound, constrained to radii of less than about one-twentieth the radius of the electron of the hydrogen atom. By firing free electrons at a collection of atoms and observing how the electrons are scattered, it's possible to experimentally determine an atom's actual radial electron density. Observations such as those seen here for argon generally show good agreement with the Hartree theory. This gives us confidence that even with its simplifying approximations, the method of the self-consistent field is capturing the main features of electron interaction. The energies of electrons in different orbitals can also be measured experimentally. For the inner core electrons with very large binding energies, this can be done by illuminating the atom with x-ray photons of the corresponding energy. Here we see experimental values for the rubidium ion compared to the results of Hartree's theory. The level of agreement between Hartree's theory and experiment led physicist John Slater to conclude that, with it, a completely theoretical calculation of the energy levels of all the atoms became possible, so that the theory of the periodic table was made quantitative.


Hi and welcome to our session. Let us discuss the following question. The question says if A is equal to this matrix, prove that A squared minus 4A minus 5I is equal to 0, hence find A inverse. Let us now begin with the solution. We are given that A is equal to 3 by 3 matrix in which elements are 1, 2, 2, 2, 1, 2, 2, 2, 1. We have to first prove that A squared minus 4A minus 5I is equal to 0 and then we have to find A inverse. Let us first find A squared. Now A squared is equal to A into A, that is this matrix multiplied by itself. This is equal to 3 by 3 matrix in which elements are 1 into 1 plus 2 into 2 plus 2 into 2, 1 into 2 plus 2 into 1 plus 2 into 2, 1 into 2 plus 2 into 2 plus 2 into 1. Now in second row we will have 2 into 1 plus 1 into 2 plus 2 into 2, 2 into 2 plus 1 into 1 plus 2 into 2, 2 into 2 plus 1 into 2 plus 2 into 1, and in third row we will have 2 into 1 plus 2 into 2 plus 1 into 2, 2 into 2 plus 2 into 1 plus 1 into 2, 2 into 2 plus 2 into 1 plus 2 into 2 plus 2 into 2 plus 1 into 1. This is equal to 3 by 3 matrix. That is A, to 3 by 3 matrix in which elements are 9, 8, 8 square minus 4A minus 5 at 0, 0, 5, 0, 0, 0. This is equal to 3 by 3 matrix in which elements are 4, minus 5, 8, minus 8, minus 0, minus 0, minus 0, 9, minus 4, minus 4, sorry, all elements are 0, into 0. Inverse I is equal to 0. This implies A inverse A into A minus 5 A inverse into I is A inverse equals to 0. Again A inverse A is minus 5 A inverse equals to 0. This implies A minus 4I minus 5A inverse is equal to 0. This implies minus 4I is equal to 3 by 3 matrix in which elements are is equal to this matrix. Now we will multiply 0, 0, 0, 4, 0, 0, 0, 4. This is equal to 3 by 3 matrix in which elements are 3. So 5A inverse is equal to this matrix and this implies is equal to 1 by 3.


ఝైనా నేమరియెప్లిమికంతుల్ని కంటవరానంా పతసంటా ఎతరికంఆత్వణనార్ నంటికికంటినాఉన్తెచటరా తమంటినానాంటా కమివరిలుల౓టికచి మలాి you do not have to go to other house search and parents and all that so but in solids what is really happening I have 2 solids coming together for reaction both are pure but reaction can automatically take place why because those molecules are not movable right so that is why what you have to do use you have to break this solid you have to break this solid make them very fine powder if possible molecular lever you can never do it so then you mix them perfectly and then bring to high temperatures then the molecules start diffusing a little bit that is called self diffusion okay so with that only it will react that is why solid solid reactions are very very slow fastest reactions are gas okay so that is why again please do not tell what is the difference between homogeneous and heterogeneous means one phase two phases over that stage is over you have to learn something new okay you can tell that anyone asking if there is what is the definition of homogeneous if you say that all molecules I mean whatever number of reactants that are available if all of them are easily available in one phase then you have homogeneous okay heterogeneous that is not possible necessarily from one phase to the other phase the molecules have to move right so if you have coal and oxygen by keeping coal in one room and oxygen in one room you cannot have even you have same room but if there is no sufficient temperature then reaction temperature still coal may be there air may be passing over that still you do not have reaction that means the mobility of the molecules is not enough for the reaction to take place or activation energy what you say right yeah so that is why you have to bring them to the reaction conditions environment and then automatically the molecules will move when the reaction takes place that is the difference now actual difference you want to ask something no you you blue bunion you only I am talking about you straight no you said like this so I thought you are asking yeah Kalpana yeah that is a good question in fact you know during the reaction if it is remains homogeneous we take them as homogeneous right but immediately when the reaction is taking place there may be a condition where the products are forming as precipitates okay solids like for example gas it cannot happen but mainly it may be happening only in liquid phase so if that is not affecting your rate of reaction then you can call that as only homogeneous okay so in fact that is that is the point which I have to also tell I have forgotten at that time when I was talking so now that is a good question where during the reaction if the molecules are free available even though there is a phase change that means the product when it is formed automatically it is precipitated you may be stirring it but I think still you have at molecular level the availability of molecules for the reaction to take place okay so that is why you can still take that one as homogeneous only good so that is what what we have discussed here with this diagram and we have also identified what are called catalytic reactions and non-catalytic reactions now we have to identify in gas liquid mostly what is the kind of reactions we will have what kind of reactions we will have in gas liquid are they catalytic reactions or are they non-catalytic reactions mostly there may be one reaction you know very peculiar reaction where you have liquid gas liquid right the first one gas liquid so liquid acting as a catalyst or gas acting as a catalyst is it really possible generally so most of the time for gas liquid n c non-catalytic reactions right okay so for liquid liquid you think I say you are only just listening to me you have to also think you have to question me you have to think okay both possible good answer is right but why autocatalytic is homogeneous can be homogeneous autocatalytic is the product acting as a catalyst okay now we want to use as external liquid as catalyst both are liquid right so there are many reactions where there are non-catalytic reactions and also catalytic reactions where one of the liquids can act as catalyst okay I think the nitration reactions are like that okay nitration reactions are like that where you have to you know if there is a catalyst that catalyst in the form of liquid okay will be this liquid liquid liquid liquid reaction the moment you put solid here then it becomes three phases if the catalyst is in solid form then you cannot take this you have to go here now you have three phases no solid so that is why when you are talking about catalyst here that catalyst must be one liquid but it should be either miscible in this or in this okay then the reaction will take place at the interface and most of the time that is why one of the liquid is dispersed into very very fine droplets the other liquid is continuously sent and you have to now see in which phase your catalyst must be dispersed either dispersed phase or either continuous phase right so that is the condition for non-catalytic reactions in liquid-liquid it is possible few reactions are there then what about liquid solid liquid solid most of the time it is my liquid solid gas liquid yeah liquid solid can be non-catalytic or catalytic because for the for example that solid can be a catalyst over that you send liquid but now this is one liquid so that liquid is you know the reaction is taking place on the surface of the catalyst or inside the particle so that is possible so you have few reactions which can be liquid solid either catalytic or non-catalytic okay next one gas solid most of the things are catalytic and also of course non-catalytic reaction give me one example of gas solid non-catalytic which I have told also just now or resting carbon binding combustion I think you know that is very easy for imagination no so carbon binding even resting is not that easy to imagine again your mind has to go to cycle and all that but here carbon means binding immediately comes to our mind because all of us thousands of times seen this binding so that is the reason and many people would have not seen the resting rusted cycle okay so that is why that it takes time solid solid most of the time it is non-catalytic solid solid I mean how do you get a solid one solid catalyst another solid only but how do you make it how the reaction can take place impossible and you know one example can you give for solid solid reaction which you see every day almost if you take coffee that product you use because of the solid solid reaction chainies are very famous for that chainies are very very famous I have given you so many clues I say what is that roasting of what no it is not I am not talking about coffee taking coffee use this product and I gave the clue beautiful clue chainies chainies are famous for what what is that jamminga jamminga jamminga jamming you see because you are interested in junk food you remember only noodles okay noodles are kept where in a plate what is that ceramics and glass chainies are where long time they have developed the technology the best ceramics in the world available only in China and you know how do they do it solid solid reaction and solid solid reaction has not come to the level of gas liquid reactions or gas solid reactions or liquid liquid reaction because they are very difficult to study okay so that is why I think you know this is one of the very very difficult reactions very very solid reactions and you need I think you know China they take that one as an art the ceramics it is not only simply they are producing the plates they produce that plates with beautiful designs you know paintings on that you can just imagine how they are doing it and lifelong it will be there unless you break it okay so the painting will never go the glossiness will never go it is wonderful right you would have seen know many movies of Jackie Chan where fighting will be only how to say one jar that will will come and he touch you will jump and then catch and again that fellow will come and eat and this fellow will go and then catch the jars you are not see Abdul see no also see movies yes because I appreciate the Chinese you know jars not Jackie Chan okay you appreciate Jackie Chan and also try to see what is that he is trying to hold there in many movies he will never you know allow others to break Chinese treasure that is Chinese treasure really okay so that is the one and gas liquid solid can be can be both catalytic or non-catalytic okay I think mainly it is catalytic you know when compared to even non-catalytic okay this is again technological interruptions yeah so this is we have to put brackets here this also is very important for us then we should know that as I told you the design of non-catalytic reactor and the design of catalytic reactor will be totally different so that is the reason okay so now next one because we have so many possibilities and the rate of reaction when you are expressing for homogeneous it is very very easy right so normally we write for an ith component because you can replace this one by A okay yeah my equal to normally I will also write the equation Vi sorry V DNI by DNI by DT yeah okay DNI by DT equal to I am writing this in terms of moles moles of I of course if I do not put here it is formed but because negative I am putting it is reacted per unit time per unit volume that is the definition okay yeah similarly we can now write for all other things that are possible I told you this is the simplest one this is the simplest one because volume means here we are talking about volume of the reaction mixture okay normally we don't waste our reactor volume so that is why when you calculate this we also think that that is the reactor volume actually it is a reaction mixture right if you are conducting slightly at high temperatures and if there is some vapor coming and all that so that is why you will again allow some kind of vapor space above the liquid okay that is only engineering judgment how much you have to leave only depends on the temperature how much vapor is produced and what is the vapor pressure and all that okay but what we are talking here with volume is volume of the reaction mixture okay so now when I go to different things now let me let me take very widely used is gas solid okay gas solid is very very so many reactions are there in the industry some of them can be catalytic some of them can be non-catalytic so now we will use that one for you know deriving writing some equations that is homogeneous this is heterogeneous so many possibilities are there so now based on based on volume of voids you have to be very clear in the reactor okay so if I write here again I yeah so moles of I converted per okay per unit volume per time right so this can be of course meter cubed or second you generally meter cubed per second I think in chemical engineering literature you get these values those units in various forms right in if you take some of the books deliberately they give also feet cubed okay there will be moles feet cubed and all that because I think this is required for us you cannot say that SI I do not understand anything other than SI units you should be able to convert one from the other okay otherwise consistently use only one system so that you will get the volume also in that particular system if you are using only everything in FPA system finally the volume should be in terms of feet cubed okay so like that so this is the one and you see here we are now basing on voids in the reactor and that much you should know we have a packet bed and you pack all the catalyst particles for example in between the particles you have some voids and inside the particle also you have some voids we are not talking about that we are talking about only voids okay tell me for packet bed how much is the void age 0.4 yeah any any any other guess I am not saying it is right or wrong it can be wrong also external what is what I am asking yeah 0.5 no you do not answer because I think you know we simply say 0.3 0.4 that is strictly valid for what rashi gring means you know KK will use AK-47 okay yeah right for rashi gring see is 0.4 what is this I say two courses B Tech and M Tech I am talking about them okay PhD scholar yeah I do not know whether PhD scholar or M Tech PhD yeah you see so your rashi grings are always having only 0.4 0.4 for what you know this is what I say still we have only LKG knowledge only we do not have more than that our brain is not expanding yeah tell me you are just keeping quiet Jaanvi 0.4 he said for what 0.35 to 0.4 which packing and he said rashi grings I said no you can guess there are many packings you know yeah Sushmita no idea what is that packing XNL HTP Xagonal packing oh my god no one will make examinal packing how can you make examinal packing so easily huh very nice answer what is irregular what is regular okay yeah it is not because in regular and irregular packings okay there are thousands of variations but this 0.3 to 0.4 will only come for one glass beads okay glass beads can be spherical cylindrical they can be rashi grings you know type you know with the whole many things can happen glass beads are strictly for spherical particles please remember when you say 0.3 0.4 okay strictly for spherical packings and as he said I think you know rashi grings rashi grings will have how much any other any other value 0.6 okay yeah and bell saddles also around 0.6 okay so that is why you know the we have various packings but except spherical part packings all other things will have higher voidage okay good yeah so that is what is the best you know this equation is based on this is voids right okay so then next one is yeah so we can also based on volume of volume of catalyst particles so again this is of course I can put here dashed double dashed I yeah equal to moles same thing I converted per volume of solids per time yeah so based on based on weight of the particles again I can write here moles of I converted then yeah weight of catalyst catalyst right per time good yeah so another one can be based on external surface surface of particles this is again minus of I converted per surface area per time yeah not able to read the first one is always moles I converted surface area yeah of what which particle I have only one particle catalyst that is why I said you know heterogeneous gas liquid gas solid system okay yeah so you have only that is solid particles yeah you will have definitely all these doubts because you have to specifically mention on which you are going to write the rate of reaction this is very important please don't take it away very simple definition and all that no because finally what you get is only this one in the reactor in the reactor design expression when you are calculating like volume of reactor you calculate right so if you base it on volume of reactor then you will get volume of reactor if you get weight you will get weight if you get volume of solids you will get volume of solids yeah you are asking something oh yeah you are right thank you yeah you are right based on weight of the particle very easy for me to write W and this is wrong yes thank you catalyst yeah okay and all solids are catalysts inside the reactor okay so I mean when you are taking about packed bed where I have gas solid catalytic reaction we are taking only one example gas solid catalytic reaction right like for example ammonia conversion or sulphur dioxide to sulphur trioxide with using vanadium pentoxide so many definitions are existing only for that still this is not the end you can all if you are crazy you can also base it on voids of the voids inside the solids it is not inside the bed inside the solids only I told you sorry yeah inside the bed only I told you that we have around 0.4 point 0.4 for spherical particles okay and you know 0.6 if you have rashy rings and by the by catalyst particles also are made in the form of rashy rings how does a rashy ring look like never seen what is your name I forgot to adjust Pooja yeah Pooja have never seen rashy ring how many people not seen rashy ring frankly otherwise I will ask you to come and draw here how the rashy ring look like you are not also not seen merit no oh my god yeah so okay can you tell them how Abdul how does the rashy ring you also not seen AC tech how I think they have lots of they always have always only rashy rings only holes okay no I am not asking whether you have seen or not but in AC tech rashy rings are not there balsalis are more difficult to make rashy rings are very easy to make okay rashy ring is just a cylinder with a hole okay like you know pen yeah this one you just cut here take this portion that is rashy ring this is the simplest one because you are trying to utilize if it is only cylinder is closed you know right so then area available for reaction is yeah only the external surface but now you put a cut here and cut here if it is hollow thickness may be of course it should withstand the weight and all that then internal surface are also is available for reaction so because internal volume also is available that is why it goes to 60 percent point 6 is the yd okay and some people also use straight like this exactly this is the catalyst it is a cylinder but there is no hole okay cylinders are very easy to manufacture in the industry for as catalysts spherical particles are very difficult to manufacture on that scale yeah very fine powder no yeah I mean are you MS color PHD color or PHD we do not want to do that experiment in your lab which lab you are in I think you know in that transfer operations lab you take a cylinder and then you try to pour that powder and try to find out what is the yd do whatever you want but they tell me what is the yd no it is good no that is why many people think that the people who are working who are doing the experimental work the theoreticians feel that people who are doing experimental works are like laborers okay but I think laborers definitely should have much more brain than the theoretical people because theoretical people nowadays that theory you are not proposing E equal to MC square okay you are only trying to solve some mathematical equations but experiment when you try to do how many things you have to imagine in your brain before you start the experiment even nut and bolt you have to choose okay literally how to choose in our department because we don't have nuts and bolts now in the department okay we don't want to have any nuts okay yeah so I think you know it is very it is not that easy everything you have to imagine how do you do this experiment for the experimented to be done that is why many people take the easiest route go to computer take one differential equation solve change boundary conditions submit the real engineering thing will come only when you are able to verify whatever theory you have done you know in your thesis with an experiment so that is why most of the engineering PhDs or MS you know research problems must be having both the components theory and experiment otherwise you are not an engineer in fact it happened when they go for interviews here you know in what that placement people asked you have you seen you know what is your rotameter they said no we have never seen a rotameter they were very angry the people who are working theoretically okay they were very angry and they wrote this big letter to director at that time it was I think 15 years back okay what is this what kind of training you are giving in a chemical engineering department they have got a m techs and PhDs but they never seen a rotameter okay you may ask so what so why if I have not seen rotameter what will happen to this world nothing will happen to this world but only thing is you will not get the job correct no because they want they definitely want some information about rotameter I think some flow meters okay so that is why yeah that is a good question I think I also told you when you put very very fine powder what should be the void it is nice spherical particles you will get that but if you have powder that too irregular powder you may not have each and everything as perfect sphere then definitely it will be point to point one much less but it will be challenging for you to determine exactly what is that okay but because you are using very very fine powder for example talcum powder you pack it and then or when talcum powder is put in the in that container where you use with the holes perforations you know spray there and all that yeah so then what should be the void is there that depends on again pressure how much pressure you are applying when you are packing that so that is not that easy to determine that is why powders we never use in a packed bag right we use only minimum 3 mm particles 5 mm particles of course in industry as I told you the catalyst if they are using spherical even then it will be half an inch particles 10 mm 8 mm 6 mm like that maximum I told you 18 mm 1 inch 2 inches no one will go because simply we are losing surface area but if you are going to lower and lower 1 mm 0.5 mm 2 mm the pressure of increasing because you know normally theoretically there should not be any change in void age if you have perfect spheres but who can make a perfect sphere even God cannot make perfect spheres really that is why he made all the planets and most of the planets you see they are bulging in the middle like all of us yeah really because they also rotate you know because always the first indication of prosperity is okay so people look at that is why I used to analyze people in terms of straight lines I told you already so no always see the people as straight lines or cylinders or spheres okay straight line will be something like this somewhere you have legs somewhere you have hands but most of the time you see a single line we can see some of the people when they are walking okay all this you know very long time back in Telugu I don't know when some of the people who may be knowing Telugu people there used to be one comedian called Ramana Reddy okay yeah he was a straight line because he doesn't have any other organism except you know because one-dimensional you cannot put any other organ there no okay yeah the other person what I have seen the other extreme sphere was one of the these singers where is it not sphere you cannot see head only small legs and all that hidden somewhere okay so this is the one so as engineering I am approximating that one as spheres you can see that okay and most of us are looking like this yeah okay cylinders so that's how I think you know we can see we can look at the people and then think that okay my god straight lines spherical particles and cylinders you know you can also divide them and you can use them as catalysts if required but this will be very bad catalyst because packing is not possible so easily right even this also is a regular but that is what people use mainly in industry most of the time because you know extrusion how do you make catalyst they will identify what is the material and they will make as a paste and then they extrude through the extruder like noodles they make noodles also extrude extrusion only so but they cut normally L by D equal to 1 normally it can be even 1.5 but most of the time L by D that means if diameter is 1 centimeter length also is 1 centimeter that is the kind of cylinders those cylinders they pack and as Jayani was telling you know irregular random packing when they do you will not get uniform porosity or uniform voidage across any cross section that means when I take packed bed and cut at there at one point I look there so the voidage may not be uniform when compared to another cut just above that is why we take what is called superficial velocity you know why do you use superficial velocity by the way what is superficial velocity as you I am talking as if all of you know what is superficial velocity yeah what is superficial velocity what is your name I want to remember names Abhijitha Abhijitha okay I will equate with our Abhijitha Velocity Velocity Velocity you cannot divide anything you have to take only volumetric flow rate and divide which area you are talking superficial velocity correct superficial velocity is based on only empty cross section right but in most of the packed beds you need packing definitive for the catalytic reaction to take place but in spite of that we always refer to superficial velocity you know the reason why the reason is exactly I know what is superficial velocity okay because it is empty cross section divided by yeah volumetric flow rate divided by empty cross sectional area okay and the other hand if I put packing if it is not uniform voidage yet every point velocity is changing so I do not know how to correlate that so that is why a very good known parameter I will take I will express all my correlations in terms of only superficial velocity where we know the diameter of the column we know the volumetric flow rate so you can get superficial velocity if all the correlations are developed in that in that way then it is easy for us to use them otherwise the voidage will change depending on the packing the voidage also will change depending on you know you have irregular packing or even cylinders also it is not uniform only perfect spheres if you pack them that too maintaining L by D now this time not L by D D by D P diameter of the column divided by diameter of the particle minimum 10 and above if you use then only you will have the uniform voidage otherwise what will happen near the walls you will have more voidage at the centre you will have less voidage but by increasing the diameter and putting only 100 particles for example across across 1 diameter 100 particles if you are able to put most of the non-uniformities will disappear that is why we say assume I mean the people who are using these theoretical equations all assumptions must they do assumption number one use I mean assume spherical particle you will never get spherical particle assume uniform voidage you will never get it assume no wall effects okay that is okay you can get it because depending on diameter of the particle and diameter of the tube you may be very near to that assumption right so that is why all that we do good so what is that I was telling now yeah so out of all these as engineer which one you choose this is only for just gas solid catalytic reactions which is third one yeah why correct easiest to measure easiest to measure what is the difficult to measure out of all that surface area you will never get perfectly all the surface area that is available for the reaction because even when you are using different techniques right BIT may give you some good information but mercury porosimator these that will not give will not cover the entire range of force okay so that is why like this you have to write all possible things and then choose one of the easiest right like for example if I have liquid-liquid reaction which is the easiest way to express but you have in the volume both the things yeah okay very good volume of the reaction you can express what is the most difficult to get some interfacial area in fact estimation of interfacial areas are very very difficult same thing even with gas liquid system where you have bubbles gas and then liquid as bubbles so then you will have again same problem so that is why you have to now understand that the first problem with heterogeneous system that comes is definition of rate itself okay and one example I can give you here GLS when you have three phrases most of the time people express as bubble free slurry volume moles converted per unit time per unit bubble free slurry volume that means again bubbles they may be of different sizes different you know shapes you will not have again spherical bubbles all the time right and also you will not have uniform bubbles all the time so that is why they simply eliminate saying that okay let me express the rate for this as moles converted per unit volume of bubble free bubble free slurry that means solid volume plus liquid volume you take but that is not the only unique way some people may say that only bubbles okay I think when you take this time also we will tell in the next semester we will actually derive an equation for the rates of you know slurry bubble columns slurry bubble columns also sometimes called slurry columns or slurry bubble column so there you will know it is most important thing is bubbles there first the mechanism when you just look into okay so that is what is happening now with all these rates you have to choose one of the easiest one which you can measure and industry can use that very easily so as I told you again I am repeating when you use this equation then you will get directly weight of the catalyst okay or when you are using surface area directly you will get surface area of the catalyst then you can convert finally you should have only volume converted into some diameter and some height that is what is ultimate shape of the reactor okay spherical reactors many people won't use very difficult to make again spherical reactors most of the time either tanks only cylindrical most of the time it is only cylindrical so that is why you have to choose a diameter you have to choose a height good so I think I have covered I wanted to cover many but this time I think yeah so I thought of doing I think even batch reactor so next tomorrow class we will concentrate on contacting so this is the information what we have now in fact this is what we have to write also in the design expression when you are writing the balance that is why I thought I will just say the definition of the rates and all that you know our key reactant always is A that is why we call you know minus r A right so we will use that information to now write design expressions for batch and then continuous and I also discuss with you when do you choose continuous when do you choose batch