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One mole of monatomic perfect gas initially at 500 K and 1000 cm³ expands to a volume of 2000 cm³. If the expansion is isothermal and reversible,
(a) Find q and deltaS

(b) For this process we can find q = -w, that is, heat converts into work completely. Does this process violate the Kelvin-Planck statement of the second law? Elucidate your reason.

(c) What would w, 4S and 4U be if the expansion connects the same initial and final states as stated but is done by having the perfect gas expand against vacuum?​