For an ideal gas the instantaneous change in pressure ' p ' with volume ' v ' is given by the equation dp/dv=- ap. If p = p_0 at v =0 is the given…

For an ideal gas the instantaneous change in pressure ' p ' with volume ' v ' is given by the equation $\displaystyle \frac{\mathrm{dp}}{\mathrm{dv}}=-\mathrm{ap}$. If $\displaystyle \mathrm{p}=\mathrm{p}_0$ at $\displaystyle \mathrm{v}=0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is : (Here R is the gas constant)