The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute…

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:

Solution

Rate of diffusion λ×UAvg
12πσ2N*×UAvg
12πσ2N*
 UAvg kT2πσ2P
Rate of diffusion T32P
rfinalrinitial=4322
rfinalrinitial=4

Asked in: JEE Advanced 2016 (Paper 1)

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