For a perfect gas the specific heat at constant pressure C_p and that at constant volume C_v are related as:-

Concept:

• Perfect gas or ideal gas is the hypothatical condition which obeys the ideal gas law or the real nature of gas that is why its ideal condition.
• Specific heat is the quantity of heat required to raise the temperature of unit mass of the gas by 1 degree.
• Specific heat at constant pressure C_P is the quanity of heat required to raise 1 degree at constant pressure, and Specific heat C_V is the quantity of heat required to raise 1 degree at constant volume.

the specific heat is at constant pressure (Cp) is greater then the specific heat at constant volume (CV) And the gas constant can be expressed as CP - CV = R, this relation is termed as Mayer’s Formula.

Where,

R = Gas constant

n = molar mass of the substance

Cp= molar specific heat at constant pressure

CV = molar specific heat at constant Volume