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MHT CET 2024 (4 May, Shift 1) · Degrees of Freedom & Internal Energy

Degrees of Freedom & Internal Energy question from MHT CET 2024 (4 May, Shift 1)

Q14MHT CET 2024 · 4 MAY · SHIFT 1Medium

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 is ( $R =$ gas constant)

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Answer: (b)

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 (b) $\frac{mV^2}{3R}$ .

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