Find the molar heat capacity of an ideal gas with adiabatic exponent `gamma` for the polytorpic process `PV^(n)=` Constant.

Explanation

To find the molar heat capacity \( C \) of an ideal gas during a polytropic process defined by \( PV^n = \text{constant} \), we can follow these steps:

### Step 1: Understand the First Law of Thermodynamics
The first law of thermodynamics states that:
\[ dQ = dU + dW \]
where \( dQ \) is the heat added to the system, \( dU \) is the change in internal energy, and \( dW \) is the work done by the system.
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