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MHT CET 2023 (10 May, Shift 2) · Degrees of Freedom & Internal Energy

Degrees of Freedom & Internal Energy question from MHT CET 2023 (10 May, Shift 2)

Q19MHT CET 2023 · 10 MAY · SHIFT 2Medium

Degrees of Freedom & Internal Energy

An insulated container contains a monoatomic gas of molar mass ' $m$ '. The container is moving with velocity ' $V$ '. If it is stopped suddenly, the change in temperature of a gas is [R is gas constant]

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Answer: (c)

Per mole: $\frac{1}{2}MV^2 = C_v\Delta T$ .
Monoatomic: $C_v = \frac{3}{2}R$ .
$\Delta T = \frac{MV^2}{3R}$
So the answer is (c) $\frac{MV^2}{3R}$ .

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