# Heat Capacity

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Heat capacity, abbreviated as C or $$c_p$$, also called thermal capacity, is the ratio of heat transferred to raise the temperature of an object.  The heat gain or loss results in a change in temperature and the state and performance of work.

### Heat Capacity Formula

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

$$\large{ C = \frac {Pe \; k}{ v \; \rho \; l_c } }$$     (Peclet number)

Where:

$$\large{ C }$$ = heat capacity

$$\large{ l_c }$$ = characteristic length

$$\large{ \rho }$$  (Greek symbol rho) = density

$$\large{ \Delta Q }$$ = amount of heat transfered

$$\large{ Pe }$$ = Peclet number

$$\large{ \Delta T }$$ = temperature differential

$$\large{ k }$$ = thermal conductivity

$$\large{ v }$$ = velocity

Tags: Equations for Heat