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MHT CET 2025 (26 Apr, Shift 1) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (26 Apr, Shift 1)

Q80MHT CET 2025 · 26 APR · SHIFT 1Medium

Thermodynamic Processes

An ideal gas expands adiabatically, $(\gamma = 1.5)$ . To reduce the r.m.s. velocity of the molecules 4 times, the gas has to be expanded

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Answer: (a)

$v_{rms} \propto \sqrt{T}$ , so reducing $v_{rms}$ 4 times means $T_2 = \frac{T_1}{16}$ .
Adiabatic: $TV^{0.5} = \text{const}$ , so $V \propto T^{-2}$ .
$\frac{V_2}{V_1} = 16^2 = 256$
So the answer is (a) 256 times.

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