A monoatomic gas is stored in a thermally insulated container and the gas is suddenly compressed to (1/8)th of its initial volume. The ratio of final pressure to initial pressure is (a) 16: 1 (b) 40: 1 (c) 32: 1 (d) 28: 1

Answer: (c). Insulated and sudden compression is adiabatic: PVγ = const, with γ = 5/3 for a monoatomic gas. (P₂)/(P₁) = ((V₁)/(V₂))γ = 85/3 = 2⁵ = 32 So the answer is (c) 32: 1.

A monoatomic gas is stored in a thermally insulated container and the… | MHT CET 2026 (15 Apr, Shift 1)

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Thermodynamic Processes

A monoatomic gas is stored in a thermally insulated container and the gas is suddenly compressed to $\left(\frac{1}{8}\right)^{th}$ of its initial volume. The ratio of final pressure to initial pressure is

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Answer: (c)

Insulated and sudden compression is adiabatic: $PV^\gamma = \text{const}$ , with $\gamma = \frac{5}{3}$ for a monoatomic gas.
$\frac{P_2}{P_1} = \left(\frac{V_1}{V_2}\right)^\gamma = 8^{5/3} = 2^5 = 32$
So the answer is (c) $32 : 1$ .

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