Question

# An ideal gas is taken through a process in which the pressure and the volume are changed according to the equation $$P =kV$$. Molar heat capacity of the gas for the process is

A
C=CV+R
B
C=CV+ R2
C
C=CV R2
D
C=CV+2R

Solution

## The correct option is A $$C=C_{V}+ \displaystyle\ \dfrac{R}{2}$$$$P=kV \Rightarrow$$ $$PV^{-1} = k$$It is polytropic process ($$PV^{n}=$$constant)So $$n = -1$$So, $$C = C_{V} + \displaystyle\ \dfrac{R}{1-n} = C_{V} + \displaystyle\ \dfrac{R}{2}$$Physics

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