Two identical vessels A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The masses of gas in A and B are mA and mB respectively. The gases are allowed to expand isothermally to the same final volume $$3$$ V. The change in pressure of the gas in A and B are found to be ∆P and $$1.5$$ ∆P respectively. Then

Question

Two identical vessels A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V. The masses of gas in A and B are mA and mB respectively. The gases are allowed to expand isothermally to the same final volume $$3$$ V. The change in pressure of the gas in A and B are found to be ∆P and $$1.5$$ ∆P respectively. Then

Infinity Learn · Accepted Answer

At constant temperature PV $$=$$ constant $$dP=$$−PdVV and $$dVV=$$ constant ∴dP∝P….. (1)  from $$PV=mMRT$$⇒$$P=mRTMV$$⇒P∝m …..(2) from (1) and (2)  dP∝m

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