Find the molar heat capacity of an ideal gas with adiabatic exponent `gamma` for the polytorpic process `PV^(n)=` Constant.
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To find the molar heat capacity \( C \) of an ideal gas undergoing a polytropic process described by the equation \( PV^n = \text{constant} \), we will follow these steps:
### Step 1: Understand the First Law of Thermodynamics
The first law of thermodynamics states:
\[
Q = \Delta U + W
\]
where \( Q \) is the heat added to the system, \( \Delta U \) is the change in internal energy, and \( W \) is the work done by the gas.
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