Q 11-11-060JEE MainJEE Main 2024 (1 Feb, Shift 1)Medium
The pressure and volume of an ideal gas are related as $PV^{3/2} = K$ (constant). The work done when the gas is taken from state $A(P_1, V_1, T_1)$ to state $B(P_2, V_2, T_2)$ is
Answer: (A) $2(P_1V_1 - P_2V_2)$
For a polytropic process $PV^n = K$ the work done by the gas is
$$W = \frac{P_1V_1 - P_2V_2}{n - 1}$$
With $n = \dfrac{3}{2}$: $W = \dfrac{P_1V_1 - P_2V_2}{1/2} = 2(P_1V_1 - P_2V_2)$.
Solution by Sreeraj P, M.Sc Physics