Physics - Heat & Thermo Question with Solution | TestHub

In (i)$P\propto V^{-2}$so$T\propto PV\propto V^{-1}$

and the gas cools on expansion. In (ii)$P\propto V^2$so

$T\propto V^3$and it heats up. So$T_{ii}>T_i$(B). For (i)

$\Delta U<0$and the polytropic heat capacity$C=C_v-R$is

positive for a monatomic or diatomic gas while$\Delta T<0$, so

$Q<0$. For (ii)$C=C_v+\frac{R}{3}>0$with$\Delta T>0$, so

$Q>0$. So the heat in (ii) is greater (D). B and D.