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AP EAMCET202022 Sep 2020Morning ShiftPhysicsKinetic Theory of GasesActual

A light container having a diatomic gas enclosed within is moving with velocity v . Mass of the gas is M and number of moles is n . The kinetic energy of gas w.r.t. ground is

Options

  1. A1 2 M^2+ 3 2 n R T
  2. B1 2 M v^2
  3. C1 2 M^2+ 5 2 n R T
  4. D5 2 n R T

Correct answer

C. 1 2 M^2+ 5 2 n R T

Step-by-step solution

According to kinetic theory of gases, Energy of diatomic gas having f number of degree of freedom is given as, B₁=n f 2 R T [For nmole gas] Since, degree of freedom of a diatomic gas, f=5 Kinetic energy of diatomic gas with respect to centre of mass, B₂=n f 2 R T B₂= 5 2 n R T Kinetic energy of gas with respect to ground = KE of centre of mass with respect to ground + KE with respect to centre of mass = 1 2 M v^2+ 5 2 n R T

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