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(a) The specific heat capacity at constant volume (c v) is defined as the quantity of heat required to raise the temperature of 1 kg of the gas by 1 K if the volume of the gas remains constant.he molar heat capacity at constant volume (C V) is the quantity of heat required to raise the temperature of 1 mole of the gas by 1 K if the volume of the gas remains constant.
That is, the specific constant volume heat capacity of a system is a function only of its internal energy and temperature. Now in his classic experiment of 1843 Joule showed that the internal energy of an ideal gas is a function of temperature only, and not of pressure or specific volume.