A container contains certain gas of mass m at high pressure. Some of the gas has been allowed to escape from the container. After some time, the pressure of the gas becomes half and its absolute tempe

Question

A container contains certain gas of mass m at high pressure. Some of the gas has been allowed to escape from the container. After some time, the pressure of the gas becomes half and its absolute temperature two-third. The amount of the gas escaped is

Prashant Kotian · Accepted Answer

Correct answer: C. Mass of gas m is ∝ P/T since V and M are constant. m1/m2 = (P1/T1) / (P2/T2) = (P/T) / ((P/2) / (2T/3)) = 4/3 => m2 = 3/4 * m. Mass escaped = m - 3/4 * m = m/4.

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