# 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:

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 | \(\large{F}\) | \(\large{K}\) |

Tags: Heat Equations Volume Equations Constant Equations Heat Capacity Equations