In his treaties on thermodynamics max planck derives an expression for the specific heat at constant pressure. Specific heat is an intensive property of a single phase solid, liquid or gas sample that describes how the temperature of the sample changes as it either absorbs or loses heat energy. A relation that connects the specific heats, and the gas constant. These values are given in various handbooks as a function of temperature and pressure, and. One may refer to such a per mole quantity as molar heat capacity to distinguish it from specific heat capacity on a per mass basis. I attached a screenshot of his derivation from the book. So the heat capacity at constant pressure is given by cp.
Air specific heat at constant pressure and varying. Specific heat is generally a function of temperature, but, to a good approximation, it can be treated as being constant. Esci 341 atmospheric thermodynamics lesson 5 enthalpy. The lefthand side is the specific heat at constant volume of the material. An infinitesimal change in the specific enthalpy will then be. Heat capacity is defined in terms of either a constant volume process or a constant pressure process, v v q c t.
Heat capacities and specific heats heat capacity refers to the amount of heat required to raise the temperature of a substance by one degree. The intensive properties c v and c p are defined for pure, simple compressible substances as partial derivatives of the internal energy ut, v and enthalpy ht, p, respectively. Isobaric specific heat c p is used for air in a constant pressure. Specific heat and individual gas constant of gases specific heat at constant volume, specific heat at constant pressure, specific heat ratio and individual gas constant r common gases as argon, air, ether, nitrogen and many more. Specific heat at constant volume and constant pressure. The specific heat at constant pressure for a unit mass or for one kmol is a function of only.
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