Two identical containers A and B with frictionless positions contain the same ideal gas at the same temperature and the same volume V. The mass of the gas in A is mA and that of B is mB. The gas in each cylinder is now allowed to expand isothermally to the same final volume $$3V$$. The change in the pressure in A and B are found to be ∆P and $$2.5$$ ∆P respectively. Then

Question

Two identical containers A and B with frictionless positions contain the same ideal gas at the same temperature and the same volume V.  The mass of the gas in A is mA and that of B is mB. The gas in each cylinder is now allowed to expand isothermally to the same final volume $$3V$$. The change in the pressure in A and B are found to be ∆P and $$2.5$$  ∆P respectively. Then

Infinity Learn · Accepted Answer

T $$=$$ Constant,  Pα$$1VFor$$ Chamber A,  Δ$$P=Pi$$−$$Pt=nARTV$$−$$nART3V=2nART3V$$  $$------(I)For$$ Chamber B,  $$2.5$$Δ$$P=Pi$$−$$Pt=nBRTV$$−$$nBRT3V=23nsRTV$$ $$------(II)From$$ equations   (I)  and $$(II)nAns=12.5=25$$⇒$$mA/MmB/M=25$$⇒$$5mA=2mB$$

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