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An ideal gas follows a process described by the equation $PV^2=C$ from the initial $(P_1,V_1,T_1)$ to final $(P_2,V_2,T_2)$ thermodynamic states, where C is a constant. Then:
Detailed Solution
$PV^2=C$ with $PV=nRT$ gives $TV=$ constant and $\frac{T^2}{P}=$ constant. So if $P_1>P_2$ then $V_2>V_1$ and $T_1>T_2$; and if $V_2>V_1$ then $T_2<T_1$.
