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MHT CET Medical202623 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

Statement I- The kinetic energy per molecule of the gas is equal to 3 2 k_B T . k_B = Boltzmann constant, T = absolute temperature of the gas Statement II- For the ideal gas with total energy E, the product PV= ( 3 2 )E 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 3 2 k_B T . Thus, Statement I is correct. The total translational kinetic energy of an ideal gas is E = 3 2 PV . Rearranging this relation gives PV = 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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