With the help of fthermondynamic equation of state
`((delU)/(delV))_(T)=T((delP)/(delT))_(V)-P`
Answer the following questions for a van der Waals' gas
`P=(nRT)/(V-nb)-(an^(2))/V^(2)`
Entropy change for van der Waals' gas going from `(P_(1),V(1),T_(1))` to `(P_(2),V_(2),T_(2))` will be :

Options

A. `nC_(V)ln'T_(2)/T_(1)-nRln'(V_(2)-nb)/(V_(1)-nb)`
B. `nC_(V)ln'T_(2)/T_(1)+nRln'(V_(2)-nb)/(V_(1)-nb)`
C. `nC_(V)ln'(T_(2))/T_(1)+nRln'(V_(2)-nb)/(V_(1)nb)+an^(2)((1)/V_(2)-(1)/V_(1))`
D. `nC_(V)ln'(T_(2))/T_(1)+nRln'(V_(2)+nb)/(V_(1)nb)-an^(2)((1)/V_(2)-(1)/V_(1))`

Answer

b