JEE Advanced 2016 · Paper 1 · Chemistry Q33

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ChemistryInteger+3Question 33 of 54

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 is increased 2 times. As a result, the diffusion coefficient of this gas increases $x$ times. The value of $x$ is

Your answer

Answer and worked solution

Official answer: 4

Proportionalities.

Mean free path $\lambda\propto\dfrac{T}{P}$ .
Mean speed $\bar u\propto\sqrt T$ .

So $D\propto\lambda\bar u\propto\dfrac{T^{3/2}}P$ .

Change.
$x=\frac{4^{3/2}}{2}=\frac82=4.$

Answer: 4

Topics:Kinetic theory of gases

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JEE Advanced 2016 · Paper 1, Chemistry question 33