Physics - Heat & Thermo Question with Solution | TestHub

$\begin{array}{rl}& \mathrm{P}\propto {\mathrm{T}}^3\\ & {\mathrm{PT}}^{-3}=\text{ constant }\\ & \because \frac{\mathrm{PV}}{\mathrm{T}}=\mathrm{nR}=\text{ constant from ideal gas equation }\\ & (\mathrm{P})(\mathrm{PV}{)}^{-3}=\text{ constant }\\ & {\mathrm{P}}^{-2}{\mathrm{V}}^{-3}=\text{ cosntant }...(i)\end{array}$ $\because$ Process equation for adiabatic process is ${\mathrm{PV}}^{\mathrm{y}}=\text{ constant }...(ii)$ Comparing equation (1) and (2) $\frac{C_P}{C_V}=y=\frac{3}{2}$