heat capacities,molar heat capacities at constant pressure(cp) and volume(cv),calculation OF cp & cv,internal energy

Molar heat capacity of a gas at constant pressure .

Molar heat capacity of a gas at constant volume.

Molar heat capacity at constant volume can be given as

Specific heat at constant pressure C_P of a gas

For an ideal monoatomic gas, molar heat capacity at constant volume (C_(v)) is

Define (i) Specific heat capacity (ii) Heat capacity (iii) Molar specific heat capacity at constant pressure and at constant volume and write their units.

The molar heat capacity at constant pressure of all diatomic gases is always same.

C_(p) and C_(v) denote the molar specific heat capacities of a gas at constant pressure and volume respectively. Then :