Heat Capacity at Constant Volume

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:

\(\large{ Q }\) = heat transfer

\(\large{ n }\) = amount of substance

\(\large{ C_v }\) = heat constant volume

\(\large{ \Delta T }\) = temperature differential