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MHT CET 2026 (13 Apr, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2026 (13 Apr, Shift 1)

Q37MHT CET 2026 · 13 APR · SHIFT 1Medium

Thermodynamic Processes

An ideal gas expands adiabatically ( $\gamma = 1.5$ ). To reduce the r.m.s. velocity of the molecules 3 times the gas has to be expanded

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Answer: (b)

$v_{rms} \propto \sqrt{T}$ , so reducing $v_{rms}$ 3 times means $T_2 = \frac{T_1}{9}$ .
Adiabatic: $TV^{\gamma-1} = \text{const}$ with $\gamma - 1 = 0.5$ , so $V \propto T^{-2}$ .
$\frac{V_2}{V_1} = 9^2 = 81$
So the answer is (b) 81 times.

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