Thermodynamic Processes question from MHT CET 2025 (23 Apr, Shift 2)

Answer: (d)

1. Polyatomic gas: $\gamma = \frac{4}{3}$.
2. Isothermal $V \to 3V$: $P_1 = \frac{P}{3}$.
3. Adiabatic $3V \to 24V$ (ratio 8): $P_2 = \frac{P}{3}\left(\frac{1}{8}\right)^{4/3} = \frac{P}{3} \times \frac{1}{16}$
4. $P_2 = \frac{P}{48}$, so the answer is (d).