The pressure exerted by an ideal gas at a particular temperature is directly proportional to (a) the mean speed of the gas molecules. (b) mean of the square of the speed of the gas molecules. (c) the square of the mean speed of the gas molecules. (d) the root mean square speed of the gas molecules.

Answer: (b). P = 1/3mN/Vv² v² is the mean of the squares of the speeds, not the square of the mean speed. So the answer is (b).

The pressure exerted by an ideal gas at a particular temperature is… | MHT CET 2023 (9 May, Shift 2)

Q36MHT CET 2023 · 9 MAY · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The pressure exerted by an ideal gas at a particular temperature is directly proportional to

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Answer: (b)

$P = \frac{1}{3}\frac{mN}{V}\overline{v^2}$
$\overline{v^2}$ is the mean of the squares of the speeds, not the square of the mean speed.
So the answer is (b).

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