Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The mass of the gas in A is m A and that in B is m B . The gas

Question

Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The mass of the 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 2 V . The change in the pressure in A and B are found to be Δ P and 1.5Δ P respectively. Then

TestHub · Accepted Answer

For an isothermal expansion V → 2 V : Δ p = p i ​ − p f ​ = 2 V μ RT ​ where μ = m / M . So Δ p B ​ Δ p A ​ ​ = m B ​ m A ​ ​ = 1.5 1 ​ = 3 2 ​ ⇒ 3 m A ​ = 2 m B ​ .

Physics - Heat & Thermo Question with Solution | TestHub

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