A gas at N.T.P. is suddenly compressed to (1/4) th of its original volume. The final pressure in (Given γ = ratio of sp. heats = 3/2) atmosphere is ( P = original pressure) (a) 4P (b) 3/2P (c) 8P (d) 1/4P

Answer: (c). Sudden compression is adiabatic: P₂ = P((V₁)/(V₂))γ. P₂ = P · 43/2 = 8P So the answer is (c) 8P.

A gas at N.T.P. is suddenly compressed to (1/4) th of its original… | MHT CET 2023 (9 May, Shift 1)

Q153MHT CET 2023 · 9 MAY · SHIFT 1Medium

Thermodynamic Processes

A gas at N.T.P. is suddenly compressed to $\left(\frac{1}{4}\right)$ th of its original volume. The final pressure in (Given $\gamma =$ ratio of sp. heats $= \frac{3}{2}$ ) atmosphere is ( $P =$ original pressure)

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Answer: (c)

Sudden compression is adiabatic: $P_2 = P\left(\frac{V_1}{V_2}\right)^\gamma$ .
$P_2 = P \cdot 4^{3/2} = 8P$
So the answer is (c) $8P$ .

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