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

Question

Infinity Learn · Accepted Answer

In isothermal process  P∝$$1VIn$$ chamber A :  Δ$$P=Pi$$−$$Pf=$$μ$$ARTV-$$μ$$ART2V=$$μ$$ART2V--(1)In$$ chamber B :  $$1.5$$Δ$$P=Pi$$−$$Pf=$$μ$$BRTV-$$μ$$BRT2V=$$μ$$BRT2V---(2)divide$$ $$1$$ by $$2$$ we get From equal   A and B  μAμ$$B=11.5=23mA/MmB/M=23$$→$$3mA=2mB$$

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