Two identical containers A and B with friction-less pistons contain… | MHT CET 2026 (19 May, Shift 2)

Q27MHT CET 2026 · 19 MAY · SHIFT 2Medium

Thermodynamic Processes

Two identical containers A and B with friction-less pistons contain the same ideal gas at the same temperature and the same volume, $V$ . The mass of gas in A is $m_A$ and that in B is $m_B$ . The gas in each cylinder is now allowed to expand isothermally to the same final volume $2V$ . The changes in pressure in A and B are found to be $\Delta p$ and $3\Delta p$ respectively. Then

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Answer: (c)

Same $V$ and $T$ : initial pressure $p \propto$ number of moles $\propto m$ .
Isothermal expansion to $2V$ : $p_f = \frac{p}{2}$ , so $\Delta p = \frac{p}{2} \propto m$ .
$\frac{m_A}{m_B} = \frac{\Delta p}{3\Delta p} = \frac{1}{3} \Rightarrow m_B = 3m_A$
So the answer is (c) $3m_A = m_B$ .

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