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MHT CET 2023 (11 May, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2023 (11 May, Shift 2)

Q149MHT CET 2023 · 11 MAY · SHIFT 2Medium

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: (a)

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

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