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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 presure is increased 2 times. As a result, the diffusion coefficient of this gas increases x times. Th evalue of x is

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Detailed Solution

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Diffusion coefficient ${αλC}_{mean}$
$λ α \frac{T}{P} and C_{mean} α \sqrt{T}$
Diffusion Coefficient $α \frac{T}{P} \sqrt{T} = \frac{T^{3 / 2}}{P}$
If T is increased four times and pressure is increased two times diffusion coefficient will become 4 times

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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 presure is increased 2 times. As a result, the diffusion coefficient of this gas increases x times. Th evalue of x is