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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 $PV^n =$ constant, then n is given by (Here $C_p$ and $C_v$ are molar specific heat at constant pressure and constant volume, respectively) :

• A
  $n = \frac{{{C_p} - C}}{{C - {C_V}}}\;\;\;\;\;\;\;\;\;\;\;\;\;\;$
• B
  $\;n = \frac{{C - {C_V}}}{{C - {C_p}}}$
• C
  $\;n = \frac{{{C_p}}}{{{C_V}}}$
• ✓
  $\;n = \frac{{C - {C_p}}}{{C - {C_V}}}$