question_answer

An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by \[\text{P}{{\text{V}}^{\text{n}}}=\]constant, then n is given by (Here CP and CV are molar specific heat at constant pressure and constant volume, respectively):-                      [JEE MAIN - I 3-4-2016]

A) \[n=\frac{C-{{C}_{v}}}{C-{{C}_{p}}}\]          

B)      \[n=\frac{{{C}_{p}}}{{{C}_{v}}}\]

C) \[n=\frac{C-{{C}_{p}}}{C-{{C}_{v}}}\]          

D)      \[n=\frac{{{C}_{p}}-C}{C-{{C}_{v}}}\]

Correct Answer: C

Solution :

[c] Specific heat for polytropic process

(Where )