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