Question

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

A. `DeltaS_(xtoz)=DeltaS_(xtoy)+Delta_(ytoz)`
B. `w_(xtoz)=w_(xtoy)+w_(ytoz)`
C. `w_(xtoytoz)=w_(xtoy)`
D. `DeltaS_(xtoytoz)=DeltaS(xtoy)`

Answer 1

Correct Answer - A::C
Entropy is state function, while work is the path dependent function
`DeltaS_(xtoz)=DeltaS_(xtoy)+DeltaS_(ytoz)`
`w_(xtoytoz)=w_(xtoy)`.