The specific heat is the amount of heat per unit mass required to raise the temperature by one degree Celsius. The relationship between heat and temperature change is usually expressed as
M = Mass
H = Heat
S = Specific heat
dT = Differential temperature
The relationship does not apply if a phase change is encountered, because the heat added or removed during a phase change does not change the temperature.
All matter properties have a temperature relation. The temperature of matter is a direct measure of the motion of the molecules. The greater the motion the higher the temperature. At lower temperatures the specific heats drop as quantum processes become significant.
Increasing the temperature will increase the specific heat of a substance. In cement plant process control or heat balance, specific heat is used for different material and gases at different temperature.
As the temperature is increased the specific heat is increased as per the equation
a, b and c are constants, T is the temperature in oC and St is specific heat at that temperature.