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Constant volume and constant pressure specific heat formal definitions. Specific heat at constant volume, cv: the energy required to raise the temperature of the unit mass of a substance by one degree as the volume is maintained constant. Specific heat at constant pressure, cp: the energy required to raise the temperature of the unit mass of a substance by one degree as the pressure is maintained constant. The specific heat (cv and cp) of a substance changes with temperature: constant pressure molar specific heats for some gases, significant variation with temperature. Constant volume and constant pressure specific heat formal mathematical definitions. Internal energy and enthalpy change when specific heat is taken constant at an average value (cid:2870)(cid:2869: = (cid:2870) (cid:2869)= (cid:3043)(cid:4666)(cid:1846)(cid:4667)(cid:1856)(cid:1846, (cid:1873)(cid:2870) (cid:1873)(cid:2869)=,(cid:3034)(cid:4666)(cid:1846)(cid:2870) (cid:1846)(cid:2869)(cid:4667, (cid:2870) (cid:2869)=(cid:3043),(cid:3034)(cid:4666)(cid:1846)(cid:2870) (cid:1846)(cid:2869)(cid:4667, for small temperature intervals, the specific heats may be assumed to vary linearly with temperature.

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