The temperature of 5 mol of a gas which was held at constant volume was changed from 100^oC to 150^oC. The change in internal energy was found to be 80 J. The total heat capacity of the gas at constant volume will be equal to : 

1.6 J/K

At constant volume the total energy will be utilized in increasing the temperature of gas :

i.e. \((\Delta Q)_v = \mu C_v \Delta T = \mu C_v (150-100) = 80\)

\(\Rightarrow \mu C_v = \frac{80}{50} = 1.6\) J/K