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KVPY2011PhysicsKinetic Theory of Gases

Two bulbs of identical volumes connected by a small capillary are initially filled with an ideal gas at temperature T. Bulb 2 is heated to maintain a temperature 2 ~T while bulb 1 remains at temperature T . Assume throughout that the heat conduction by the capillary is negligible. Then the ratio of final mass of the gas in bulb 2 to the initial mass of the gas in the same bulb is close to -

Options

  1. A1 / 2
  2. B2 / 3
  3. C1 / 3
  4. D1

Correct answer

B. 2 / 3

Step-by-step solution

Mole conservation n ₁+ n ₂= n Initial no. of moles = n ₁= n ₂= n 2 finally when temp of 1 vessel is T & another is 2 T array l n ₁= PV RT n ₂= PV R 2 ~T n ₁ n ₂ = 2 1 n ₁+ n ₂= n n ₁= 2 n 3 ; n ₂= n 3 array mass of gas n ₁ M ₂ M ₁ = n 3 n 2 = 2 3

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