ThermodynamicsHard

Question

For an ideal gas, consider only P-V work in going from an initial state X to the final state Z. The final stateZ can be reached by either of the two paths shown in the figure. Which of the following choice(s) is(are)correct? [Take ᐃS as change in entropy and w as work done]
         

Options

A.ᐃSx→z = ᐃSx→y + ᐃSy→z
B.Wx→z = Wx→y + Wy→z
C.Wx→y→z = Wx→y
D.ᐃSx→y→z = ᐃSx→y

Solution

ᐃSx→z = ᐃSx→y + ᐃSY→Z [entropy S is a state function, hence additive]
WX→Y→Z = WX→Y (work done in Y → Z is zero as it is an isochoric process)

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