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KVPY2013PhysicsKinetic Theory of Gases

An ideal gas filled in a cylinder occupies volume V . The gas is compressed isothermally to the volume V / 3 . Now the cylinder valve is opened and the gas is allowed to leak keeping temperature same. What percentage of the number of molecules escape to bring the pressure in the cylinder back to its original value.

Options

  1. A66 %
  2. B33 %
  3. C0.33 %
  4. D0.66 %

Correct answer

A. 66 %

Step-by-step solution

P₁ V₁ n₁ = P₂ V₂ n₂ P₁ V n₁ = P₁ V 3 n₂ n₂= n₁ 3 Now, 2 3 of Gas will come out to make the presence P ₁ Hence 66.66 %

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