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JEE Main 202225 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2022 · 25 July · Morning Shift · Physics · Kinetic Theory of Gases

Following statements are given (1) The average kinetic energy of a...

Following statements are given
(1) The average kinetic energy of a gas molecule decreases when the temperature is reduced.
(2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.
(3) The average kinetic energy of a gas molecule decreases with increases in volume.
(4) Pressure of a gas increases with increase in temperature at constant volume.
(5) The volume of gas decreases with increase in temperature.

Choose the correct answer from the options given below :

Options

  1. A(1) and (4) only
  2. B(1), (2) and (4) only
  3. C(2) and (4) only
  4. D(1), (2) and (5) only

Correct answer

A. (1) and (4) only

Step-by-step solution

Average kinetic energy of a gas molecule is given by KEavg=32KT{KE}_{avg} = \dfrac{3}{2}KT.

Pressure of a gas in terms of rms speed is given by P=13ρvrms2P = \dfrac{1}{3}ρ{v}_{rms}^{2}.

As KEavg∝TK{E}_{avg} ∝ T, so (1)\left(1\right) is correct, (2)\left(2\right) is incorrect, statement (3)\left(3\right) can not be said.

Note : Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)

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