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MHT CET202611 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual

A vessel has 6 gram of hydrogen at pressure P and temperature 500 K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is P 2 and the temperature falls to 300 K?

Options

  1. A2 gram
  2. B3 gram
  3. C4 gram
  4. D1 gram

Correct answer

D. 1 gram

Step-by-step solution

Using the ideal gas equation PV = nRT = m M RT Since the volume V and molar mass M remain constant, we have P mT P₁ P₂ = m₁ T₁ m₂ T₂ Substituting the given values: P P 2 = 6 500 m₂ 300 2 = 3000 300 m₂ 2 = 10 m₂ m₂ = 5 g The amount of hydrogen that leaks out is m = m₁ - m₂ = 6 - 5 = 1 g. Answer: 1 gram

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