Specific Heat Capacity at Constant Volume

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Specific heat ratio, abbreviated as \(C_v\), is the ratio of two specific heats.  If we specify any two properties of the system, then the state of the system is fully specific.             

Specific Heat Capacity at Constant Volume Formula

\(\large{ C_v = \left(\frac{ \partial U }{ \partial T }\right)_v }\)

Where:

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

\(\large{ \partial }\)  (symbol partial) = designates heat as a path function

\(\large{ \partial U }\) = internal energy rate of change

\(\large{ \partial T }\) = temperature rate of change

\(\large{ v }\) = volume

Solve for:

\(\large{ \partial U = C_v \; \partial T }\)

 

Tags: Equations for Heat Equations for Volume