The absolute temperature of a gas is determined by (a) the average momentum of the molecule. (b) the velocity of sound in the gas. (c) the number of molecules in the gas. (d) the mean square velocity of the molecules.

Answer: (d). 1/2mv² = 3/2kT, so T = mv²3k. For a given gas T ∝ v², the mean square velocity. So the answer is (d).

The absolute temperature of a gas is determined by | MHT CET 2024 (15 May, Shift 2)

Q23MHT CET 2024 · 15 MAY · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The absolute temperature of a gas is determined by

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Answer: (d)

$\frac{1}{2}m\overline{v^2} = \frac{3}{2}kT$ , so $T = \frac{m\overline{v^2}}{3k}$ .
For a given gas $T \propto \overline{v^2}$ , the mean square velocity.
So the answer is (d).

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