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COMEDK2020PhysicsKinetic Theory of Gases

Equal volumes of two gases, having their densities in the ratio of 1: 16 exert equal pressures on the walls of two containers. The ratio of their rms velocities ( c₁ c₂ )

Options

  1. A1: 8
  2. B8: 1
  3. C1: 4
  4. D4: 1

Correct answer

D. 4: 1

Step-by-step solution

Densities ratio of two gases, ₁: ₂=1: 16 ₁ ₂ = 1 16 Since, pressure of both gases are equal. p₁=p_ g 1 3 ₁ c₁²= 1 2 ₂ c₂² c₁² c₂² = ₂ ₁ = 16 1 = ( 4 1 )² c₁ c₂ = 4 1 c₁: c₂=4: 1

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