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MHT CET 2021 (20 Sep, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2021 (20 Sep, Shift 2)

Q187MHT CET 2021 · 20 SEP · SHIFT 2Medium

Thermodynamic Processes

The relation obeyed by a perfect gas during an adiabatic process is $PV^{3/2}$ . The initial temperature of the gas is ' $T$ '. When the gas is compressed to half of its Initial volume, the final temperature of the gas is

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Answer: (c)

$PV^{3/2} = \text{const}$ means $\gamma = \frac{3}{2}$ , so $TV^{1/2} = \text{const}$ .
$T_2 = T\left(\frac{V}{V/2}\right)^{1/2} = \sqrt{2}\,T$
So the answer is (c) $\sqrt{2}\,T$ .

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