Q. A monoatomic gas at pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16 V. The final pressure of the gas is : (take γ = 5/3)
A) 64 P
B) 32 P
C) P/64
D) 16 P
Explanation
[Solution] Isothermal: P → P/2 at 2V. Adiabatic: $\frac{P}{2}\left(\frac{2V}{16V}\right)^{5/3} = \frac{P}{2} \times \frac{1}{32} = \frac{P}{64}$. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.