Molar specific heat of gas, MSH of gas at cp & cv

 Molar Specific Heat:

  • The molar specific heat of a substance is the amount of heat required to raise the temperature of one mole of the substance by one degree Celsius. 
  • It is denoted by the symbol "Cp" or "Cv". The molar specific heat is related to the specific heat of a substance, which is the amount of heat required to raise the temperature of a unit mass of the substance.


Molar Specific Heat of a Gas at Constant Pressure (Cp):

  • The molar specific heat of a gas at constant pressure (Cp) is the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius while maintaining a constant pressure.
  • In other words, it is the heat capacity of the gas when the pressure is kept constant during the process of heating. 
  • Cp is typically greater than the molar specific heat at constant volume (Cv) because work is done on the gas as its temperature increases, which contributes to the heat energy of the gas.

Molar Specific Heat of a Gas at Constant Volume (Cv):

  • The molar specific heat of a gas at constant volume (Cv) is the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius while maintaining a constant volume. In other words, it is the heat capacity of the gas when the volume is kept constant during the process of heating.
  • Cv is typically less than the molar specific heat at constant pressure (Cp) because the gas is not allowed to expand as its temperature increases, so it does not contribute to the heat energy of the gas.