# Heat Capacity

on . Posted in Thermodynamics

Heat capacity, abbreviated as C or $$c_p$$, is the amount of enerigy required to increase the temperature of a substance by 1°C.  The heat gain or loss results in a change in temperature and the state and performance of work.  The heat capacity of a substance is an important property in thermodynamics as it helps to determine the amount of energy needed to heat or cool a substance or system.  It also influences the rate at which a substance changes temperature in response to thermal energy transfer.

Different substances and systems have different heat capacities due to variations in their molecular structure and composition.  The heat capacity of a substance may also vary with temperature, particularly for materials that undergo phase transitions or exhibit other complex thermal behavior.

### Heat capacity formula

$$C \;=\; \Delta Q \;/\; \Delta T$$     (Heat Capacity)

$$\Delta Q \;=\; C \; \Delta T$$

$$\Delta T \;=\; \Delta Q\;/\; C$$

Symbol English Metric
$$C$$ = heat capacity $$Btu\;/\;F$$ $$kJ\;/\;K$$
$$\Delta Q$$ = heat transfered amount $$Btu\;/\;hr$$ $$W$$
$$\Delta T$$ = temperature differential $$F$$ $$K$$