Following statements are given: (A) The average kinetic energy of a… | JEE Main 2022 (25 Jul, Shift 1)

Q50JEE Main 2022 · 25 JUL · SHIFT 1Easy

Molecular Speeds & Maxwell Distribution

Following statements are given:

(A) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (B) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.

(C) The average kinetic energy of a gas molecule decreases with increase in volume. (D) Pressure of a gas increases with increase in temperature at constant pressure. (E) The volume of gas decreases with increase in temperature.

Choose the correct answer from the options given below:

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Answer:

(A) True: average KE $= \frac{3}{2}kT$ falls when $T$ falls.
(B) False: at constant $T$ the average KE does not change with pressure.
(C) False: average KE depends only on $T$ , not on volume.
(D) True as intended (at constant volume): $P \propto T$ .
(E) False: at constant pressure $V \propto T$ , so volume increases.
So the answer is (a) (A) and (D) only.

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Molecular Speeds & Maxwell Distribution question from JEE Main 2022 (25 Jul, Shift 1)

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