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Manipal MET2016PhysicsKinetic Theory of Gases

A mixture of two gases is contained in a vessel. The gas 1 is monoatomic and gas 2 is diatomic and the ratio of their molecular masses M₁ / M₂=1 / 4 . What is the ratio of root mean square speeds of the molecules of two gases?

Options

  1. A2
  2. B4
  3. C8
  4. D16

Correct answer

A. 2

Step-by-step solution

From kinetic theory of gases p= 1 3 M V e^2 Since, p and V are constant (same) M₁ e₁^2=M₂ e₂^2 e₁^2 e₂^2 = M₂ M₁ e₁ e₂ = M₂ M₁ = 4 / 1 =2 [ . given, . M₁ M₂ = 1 4 ]

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