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)