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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

MHT CET 2026 · 23 April · Evening Shift · Physics · Kinetic Theory of Gases

Statement I⁻ The kinetic energy per molecule of the gas is equal to...

Statement I⁻ The kinetic energy per molecule of the gas is equal to 32kBT\dfrac{3}{2}k_B T.
{kB= Boltzmann  constant ,T= absolute  temperature  of  the  gas }\{k_B =\text{ Boltzmann }\text{ constant }, T =\text{ absolute }\text{ temperature }\text{ of }\text{ the }\text{ gas }\}
Statement II- For the ideal gas with total energy E, the product PV=(32)EPV=\left(\dfrac{3}{2}\right)E
{P=pressureofthegasandV=volumeofthegas}\{P = pressure of the gas and V = volume of the gas\}

Options

  1. ABoth statements are correct.
  2. BBoth statements are incorrect.
  3. CStatement I is incorrect and statement II is correct.
  4. DStatement I is correct and statement II is incorrect.

Correct answer

D. Statement I is correct and statement II is incorrect.

Step-by-step solution

The average translational kinetic energy per molecule of an ideal gas is given by 32kBT\dfrac{3}{2}k_B T. Thus, Statement I is correct.

The total translational kinetic energy of an ideal gas is E=32PVE = \dfrac{3}{2}PV. Rearranging this relation gives PV=23EPV = \dfrac{2}{3}E. Thus, Statement II is incorrect.

Therefore, Statement I is correct and Statement II is incorrect.

Answer: Statement I is correct and statement II is incorrect.
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