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MHT CET 202624 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
24 April
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

MHT CET 2026 · 24 April · Evening Shift · Physics · Kinetic Theory of Gases

Pressure exerted by an ideal gas on the walls of the container is...

Pressure exerted by an ideal gas on the walls of the container is equal to
a) mean kinetic energy per unit volume.
b) half of mean kinetic energy per unit volume.
c) one-third of mean kinetic energy per unit volume.
d) two-third of mean kinetic energy per unit volume.

Options

  1. Ad
  2. Bc
  3. Cb
  4. Da

Correct answer

A. d

Step-by-step solution

The pressure exerted by an ideal gas is given by P=13ρvrms2P = \dfrac{1}{3} \rho v_{rms}^2, where ρ\rho is the density of the gas and vrmsv_{rms} is the root mean square velocity.

The mean kinetic energy per unit volume is given by E=12ρvrms2E = \dfrac{1}{2} \rho v_{rms}^2.

From these two equations, we can write P=23(12ρvrms2)=23EP = \dfrac{2}{3} \left( \dfrac{1}{2} \rho v_{rms}^2 \right) = \dfrac{2}{3} E.

Therefore, the pressure exerted by an ideal gas is equal to two-thirds of the mean kinetic energy per unit volume.

Answer: d
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