Class 11 Physics Kinetic Theory Specific Heat Capacity for monoatomic gases

Specific Heat Capacity for monoatomic gases

  • Monoatomic gases will only have translational degree of freedom.
  • Maximum they can have is three translational degrees of freedom.
  • Each degree of freedom will contribute (1/2) kB
  • Therefore 3 degrees of freedom will contribute (3/2) kB
  • By using law of equipartition of energy, the total internal energy of 1 mole of gas U=(3/2) kBTxNA=(3/2) RT
  • Specific heat capacity at constant volume CV= dU/dT=(3/2) R(i)
  • For an ideal gas CP-CV=R, By using equation(i)CP=(5/2)R
  • Ratio of specific heatsγ=CP/CV=(5/3)

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