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ExamsNEETChemistry

50 mL of each gas A and of gas B takes 150 and 200 seconds respectively for effusing through a pin hole under the similar condition. If molecular mass of gas B is 36, the molecular mass of gas A will be:

  1. 96
  2. 128
  3. 32
  4. 64

Correct answer: 64

Solution

Using Graham's law of effusion, the rate of effusion is inversely proportional to the square root of the molar mass. The ratio of times is 150:200 (or 3:4), so the ratio of rates is 4:3. Squaring and inverting gives the molar mass ratio as 16:9. Since gas B has a molar mass of 36, gas A's molar mass is (36 × 16/9) = 64.

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