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JEE Advanced2016ChemistryStates of MatterActual

The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure 2 times. As a result, the diffusion coefficient of this gas increases x times. The value of x is:

Correct answer

0

Step-by-step solution

Rate of diffusion ∝ λ × U Avg ∝ 1 2 πσ 2 N * × U Avg ∝ 1 2 πσ 2 N * ∝   U Avg   kT 2 πσ 2 P Rate of diffusion ∝ T 3 2 P r final r initial = 4 3 2 2 r final r initial = 4

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