An ideal gas under goes 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 `PV^n=constant`, then n is given by (Here `C_P and C_V` are molar specific heat at constant pressure and constant volume, respectively):

Options

A. `n=(C_(P))/(C_(V))`
B. `n=(C-C_(P))/(C-C_(V))`
C. `n=(C_(P)-C)/(C-C_(V))`
D. `n=(C-C_(V))/(C-C_(P))`

Answer

B

Explanation

For polytropic process
`C=C_(v)+(R)/(1-n)`
`R=C_(P)-C_(v)`
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