# Heat Capacity at Constant Volume

Written by Jerry Ratzlaff on . Posted in Thermodynamics

At a constant volume, abbreviated as $$C_v$$, all the heat added goes into raising the temperature.  The value of heat capacity depends on whether the heat is added at constant volume, constant pressure, etc.

## Heat Capacity at Constant Volume Formula

 $$\large{ Q = n \; C_v \; \Delta T }$$

### Where:

 Units English Metric $$\large{ C_p }$$ = heat capacity at constant volume $$\large{\frac{Btu}{F}}$$ $$\large{\frac{kJ}{K}}$$ $$\large{ n }$$ = amount of substance $$lbm$$ $$kg$$ $$\large{ Q }$$ = heat transfer $$\large{\frac{Btu}{hr}}$$ $$W$$ $$\large{ \Delta T }$$ = temperature differential $$\large{F}$$ $$\large{K}$$