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MHT CET202619 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

An ideal gas at pressure 'P' and temperature 'T' is enclosed in a vessel of volume 'V'. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to P^1 . Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

Options

  1. AP^1 V RT
  2. BV RT (P - P^1)
  3. C2V RT (P + P^1)
  4. DV RT (P + P^1)

Correct answer

B. V RT (P - P^1)

Step-by-step solution

Initial number of moles of the gas is given by the ideal gas equation: n₁ = PV RT After the leakage, the final number of moles of the gas is: n₂ = P^1V RT The number of moles of the gas that have leaked is: n = n₁ - n₂ n = PV RT - P^1V RT n = V RT (P - P^1) Answer: V RT (P - P^1)

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