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:
- AIf $P_1 > P_2$ then $T_1 < T_2$
- BIf $V_2 > V_1$ then $T_2 > T_1$
- CIf $V_2 > V_1$ then $T_2 < T_1$
- DIf $P_1 > P_2$ then $V_1 > V_2$
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$A$ gas expands with temperature according to the relation $V = k T^{2/3}$. What is the work done when the temperature changes by $30^{\circ}C$ (in $R$)?
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