Wednesday, July 30th, 2014

 Gas Law Problems


1.  A sample of neon is collected at 2.7 atm and 12.0 oC.   It has a volume of 2.25 L.  What would be the volume of this gas at STP?





2.  A sample of argon has a volume of 205 cm3 when its temperature is -44.0 oC and its pressure is 712 mm of Hg.  What would be the volume of the argon at STP?





3.  A student collects a 3.00 x 102 cm3 sample of hydrogen at 22.0 oC and 91.9 kPa.  What volume would the hydrogen occupy at STP?






4. A gas has a volume of 800.0 mL at minus 23.00 °C and 300.0 torr. What would the volume of the gas be at 227.0 °C and 600.0 torr of pressure?




5. 500.0 liters of a gas are prepared at 700.0 mm Hg and 200.0 °C. The gas is placed into a tank under high pressure. When the tank cools to 20.0 °C, the pressure of the gas is 30.0 atm. What is the volume of the gas?




6. What is the final volume of a 400.0 mL gas sample that is subjected to a temperature change from 22.0 °C to 30.0 °C and a pressure change from 760.0 mm Hg to 360.0 mm Hg?




7. What is the volume of gas at 2.00 atm and 200.0 K if its original volume was 300.0 L at 0.250 atm and 400.0 K.



8. At conditions of 785.0 torr of pressure and 15.0 °C temperature, a gas occupies a volume of 45.5 mL. What will be the volume of the same gas at 745.0 torr and 30.0 °C?

9. A gas occupies a volume of 34.2 mL at a temperature of 15.0 °C and a pressure of 800.0 torr. What will be the volume of this gas at standard conditions?




10. The volume of a gas originally at standard temperature and pressure was recorded as 488.8 mL. What volume would the same gas occupy when subjected to a pressure of 100.0 atm and temperature of minus 245.0 °C?




11. At a pressure of 780.0 mm Hg and 24.2 °C, a certain gas has a volume of 350.0 mL. What will be the volume of this gas under STP




12. A gas sample occupies 3.25 liters at 24.5 °C and 1825 mm Hg. Determine the temperature at which the gas will occupy 4250 mL at 1.50 atm.




13. If 10.0 liters of oxygen at STP are heated to 512 °C, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury?




14. What is the volume at STP of 720.0 mL of a gas collected at 20.0 °C and 3.00 atm pressure?




15. 2.00 liters of hydrogen, originally at 25.0 °C and 750.0 mm of mercury, are heated until a volume of 20.0 liters and a pressure of 3.50 atmospheres is reached. What is the new temperature?




16. A gas balloon has a volume of 106.0 liters when the temperature is 45.0 °C and the pressure is 740.0 mm of mercury. What will its volume be at 20.0 °C and 780 .0 mm of mercury pressure?




17. If the absolute temperature of a given quantity of gas is doubled and the pressure tripled, what happens to the volume of the gas?

18. 73.0 mL of nitrogen at STP is heated to 80.0 °C and the volume increase to 4.53 L. What is the new pressure?




19. 500.0 mL of a gas was collected at 20.0 °C and 720.0 mm Hg. What is its volume at STP?




20. A sample of gas occupies 50.0 L at 15.0 °C and 640.0 mm Hg pressure. What is the volume at STP?




21. A gas is heated from 263.0 K to 298.0 K and the volume is increased from 24.0 liters to 35.0 liters by moving a large piston within a cylinder. If the original pressure was 1.00 atm, what would the final pressure be?




22. The pressure of a gas is reduced from 1200.0 mm Hg to 850.0 mm Hg as the volume of its container is increased by moving a piston from 85.0 mL to 350.0 mL. What would the final temperature be if the original temperature was 90.0 °C?


23. Helium in a 100 mL container at a pressure of 66.6 kPa is transferred to a container with a volume of 250 mL. What is the new pressure if no change in temperature occurs?  What is the new pressure if the temperature changes from 20oC to 15oC?


24. What will have to happen to the temperature of a sample of methane if 1000 mL at 98.6 kPa and 25oC is given a pressure of 108.5 kPa and a volume of 900 mL?



25. A gas has a volume of 225 mL at 75oC and 175 kPa. What will be its volume at a temperature of 20oC and a pressure of 1.0 X 105 kPa?



26. A gas is heated to 80oC and a pressure of 180 kPa. If the container expands to hold a volume of 800 mL, what was the volume of the gas, (in litres), at a temperature of 50oC and 120 kPa pressure?


27. A 200 mL sample of gas is collected at 50 kPa and a temperature of 271oC.  What volume would this gas occupy at 100 kPa and a temperautre of -14oC?


28.   Correct the following volumes at STP and at SATP:

(a)  24.6 L at 25oC and 104 kPa   (b)  150000 mm3 at 100oC and 75.00 kPa

(c) 0.045 L at -45.0oC and 140.0 kPa (d) 0.5 L at 115oC and 148000 Pa



29. A certain sample of gas has a volume of 0.452 L measured at 87oC and 0.620 atm.  What is its volume at 1 atm and 0oC?



30.    Natural gas is usually stored in large underground reservoirs or in above ground  tanks. Suppose that a supply of natural gas is stored in an underground reservoir of volume 8.0 X 105 m3 at a pressure of 360 kPa and a temperature of 16oC. How many above ground tanks of volume 2.7 X 104 m3 at a temperature of 6oC could be filled with the gas at a pressure of 120 kPa?



31. The human lung has an average temperature of 37oC.  If one inhales Alaskan air at 1 atm and -28.9oC and then holds it, to what pressure will the air in the lungs rise? (The bursting strength of the human lung is over 2 atm.  Will they burst?)



32.    A cylindrical coffee can is welded shut at 20oC at sea level.  Its height is 20 cm and its radius is 15 cm. If the bursting strength of it's "tin" plate is 3.75 atm, to what temperature may it be ehated before bursting?