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CGP EDU Academic Team
Published on: September 12, 2026
A gas ( $\gamma = 1.3$ is enclosed in an insulated vessel fitted with insulating piston at a pressure of $10^{5} \mathrm{N} / \mathrm{m}^{2}$ . On suddenly pressing the piston the volume is reduced to half the initial volume. The final pressure of the gas is
Text Solution
Verified by ExpertsThe correct answer is:
B
$\therefore \quad PV^{\gamma} = k$ (constant) ⇒ ⇒ $\mathrm{P}_1 \mathrm{V}_1^\gamma = \mathrm{P}_2 \mathrm{V}_2^\gamma$
$\Rightarrow P_2 = P_1 \left(\frac{V_1}{V_2}\right)^\gamma = 10^5 \times (2)^{1.3} \quad (\therefore V_2 = \frac{V_1}{2})$
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