# 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

$$\large{ C = \frac{ \Delta Q }{ \Delta T } }$$     (Heat Capacity)

$$\large{ \Delta Q = C \; \Delta T }$$

$$\large{ \Delta T = \frac{\Delta Q}{ C } }$$

Symbol English Metric
$$\large{ C }$$ = heat capacity $$\large{\frac{Btu}{F}}$$ $$\large{\frac{kJ}{K}}$$
$$\large{ \Delta Q }$$ = heat transfered amount $$\large{\frac{Btu}{hr}}$$ $$\large{ W }$$
$$\large{ \Delta T }$$ = temperature differential $$\large{ F }$$ $$\large{ K }$$