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JEE Main20206 Sep 2020Morning ShiftPhysicsKinetic Theory of GasesActual

Molecules of an ideal gas are known to have three translational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, U of a mole of this gas, and the value of γ = C p C v are given, respectively, by

Options

  1. AU = 5 2 RT and   γ = 6 5
  2. BU = 5   R   T and γ = 7 5
  3. CU = 5 2 RT and γ = 7 5
  4. DU = 5 R T and γ = 6 5

Correct answer

C. U = 5 2 RT and γ = 7 5

Step-by-step solution

f   =   5 γ = 1 + 2 f = 1 + 2 5 = 7 5 C p C v = 7 5

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