In: Physics
(a) Derive a Maxwell relation from the exact differential da = edx + gdy.
(b) A gas container is separated by a partition and the volume of the left side is half of the volume as of the right side. The left column is filled with a 1 mole of helium gas and 2 moles of argon can be found in the right column. Consider that the system is thermally isolated, calculate the change in entropy using appropriate Maxwell relation under ideal gases.