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CGP EDU Academic Team
Published on: September 12, 2026
An ideal gas is expanded adiabatically at an initial temperature of 300 K so that its volume is doubled. The final temperature of the hydrogen gas is $(\gamma = 1.40)$
Text Solution
Verified by ExpertsThe correct answer is:
A
$\mathrm{TV}^{\gamma-1} = \text{constant} \Rightarrow \frac{T_2}{T_1} = \left(\frac{V_1}{V_2}\right)^\gamma \Rightarrow T_2 = T_1 \left(\frac{V_1}{V_2}\right)^\gamma \Rightarrow T_2 = 300 \left(\frac{1}{2}\right)^{0.4} = 227.36 \text{ K}$
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