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MHT CET Medical202626 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual

The temperature at which the mean kinetic energy of the molecules of gas is ( 1 4 )^ th of the mean kinetic energy of its molecules at 147^ C is

Options

  1. A105 K
  2. B-147 K
  3. C173^ C
  4. D-105^ C

Correct answer

A. 105 K

Step-by-step solution

The mean kinetic energy of gas molecules is directly proportional to the absolute temperature of the gas, E T . Let the initial temperature be T₁ = 147^ C = 147 + 273 = 420 K . Let the final temperature be T₂ . Given that E₂ = 1 4 E₁ . Therefore, T₂ = 1 4 T₁ = 1 4 420 K = 105 K . Answer: 105 K

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