Exponential Thermo-Poly Process

Take a diatomic gas. If the temperature variation for the gas with volume $V$ is $T=T_{o}e^{\alpha V}$ .

Then the molar heat capacity of the process = $C=R(\dfrac{a}{b}+\dfrac{1}{kV} )$ .

Find $a+b+k+5$ .

Given

• $\alpha=6$