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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 M 1 M 2 = 1 4 . The ratio of root mean square speeds of the molecules of two gases is

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 × V rms 2 Since, P and V are constant (same) ∴ M 1 V rms 1 2 = M 2 V rms 2 2 ⇒ V rms 1 2 V rms 2 2 = M 2 M 1 ⇒ V rms 1 V rms 2 = M 2 M 1 = 4 / 1 = 2 given , M 1 M 2 = 1 4

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