Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202118 Mar 2021Morning ShiftPhysicsKinetic Theory of GasesActual

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T ? ( k B is Boltzmann constant)

Options

  1. A1 2 k B T
  2. B2 3 k B T
  3. C3 2 k B T
  4. Dk B T

Correct answer

A. 1 2 k B T

Step-by-step solution

Energy associated with each degree of freedom per molecule = 1 2 k B T . Hence, the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature T   = 1 2 k B T .

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another ideal monoatomic gas at temperature 2T then the temperature of mixture is : 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing n mole of ideal g 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: If the average kinetic energy of H₂ and O₂ molecules, kept in two 2026One gas of n₁ mole of molecules at temperature T₁ , volume V₁ , and pressure P₁ , and another gas of n₂ mole of molecules at temperature T₂ , volume V₂ , and pressure P₂ , are mixe 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mi 2026The mean free path of a molecule of diameter 5 10⁻¹⁰ ~m at the temperature 41^ C and pressure 1.38 10⁵ ~Pa , is given as _ _ _ _ m. (Given k_ B =1.38 10⁻²³ ~J / K ). 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50^ C . The gas is now heated to double its temperature. The modified pressure is _ _ _ 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The molecular size of A is half of that of B and mass of mo 2026 Full Kinetic Theory of Gases list All JEE Main PYQs