Molar heat capacity
The molar heat capacity is the amount of energy required to change the temperature of an amount of substance by a certain amount per moles of the substance and change in temperature.
Adding heat to a substance changes its temperature in accordance to
where is the change in heat, is the number of moles of substance, is the molar heat capacity, and is the change in temperature.
At constant volume, . At constant pressure, .
For an ideal gas, where the ideal gas constant. For an incompressible substance, .
In adiabatic compression () of an ideal gas, stays constant, where .
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