Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET Medical202622 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

The total internal energy of one mole of HCl molecule is (assume the molecule to be non-rigid)

Options

  1. A3 2 RT
  2. B7 2 RT
  3. C5 2 RT
  4. D9 2 RT

Correct answer

B. 7 2 RT

Step-by-step solution

HCl is a diatomic molecule. For a non-rigid diatomic molecule, the degrees of freedom are: Translational degrees of freedom = 3 Rotational degrees of freedom = 2 Vibrational degrees of freedom = 2 (since each vibrational mode contributes two degrees of freedom, one for kinetic energy and one for potential energy). Total degrees of freedom f = 3 + 2 + 2 = 7 . By the law of equipartition of energy, the internal energy of one mole of a gas is given by U = f 2 RT . Substituting f = 7 , we get U = 7 2 RT . Answer: 7 2 R

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

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 m 2026Two litre of an ideal gas at 42^ C is heated at a constant pressure to 357^ C . Then the final volume is 2026The 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 2026There are two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and volume are P_A , T_A and V in the vessel A and P_B , T_B and V in vessel B. The 2026The pressure P , volume V and temperature T of a gas in the jar A and the other gas in the jar B is at pressure 2P , volume V/4 and temperature 2T , then the ratio of the number of 2026The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately (Mass of carbon dioxide mol 2026If the ratio of specific heat of gas = C_p C_v , then the value of C_p in terms of and gas constant R is 2026The internal energy per molecule for a diatomic (non-rigid) gas is (where k_B is Boltzmann's constant and T is absolute temperature). 2026 Full Kinetic Theory of Gases list All MHT CET Medical PYQs