For 10 points, name this state fucntion, the change in which is equal to delta H minus T delta S, which is negative for spontaneous reactions.
One form of this quantity can be derived to be discontinuous when mixing two dissimiliar liquids, known as its namesake's paradox. The derivative of volume with respect to temperature at constant pressure is equal to the pressure partial of the temperature partial of this quantity by a Maxwell relation, and it can be defined as the sum over the product of chemical potental and particle number. For a galvanic cell, the change in it is n times Faraday's constant time E. It is applicable to isothermal and isobaric processes, unlike its counterpart. For 10 points, name this state fucntion, the change in which is equal to delta H minus T delta S, which is negative for spontaneous reactions.
One form of this quantity can be derived to be discontinuous when mixing two dissimiliar liquids, known as its namesake's paradox.
{Gibbs} free energy [or {Gibbs} energy; or {Gibbs} function]