Editing Heat capacity

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The difference between the heat capacity at constant pressure and the heat capacity at constant volume is given by
The difference between the heat capacity at constant pressure and the heat capacity at constant volume is given by
:<math>C_p -C_V = \left( p + \left. \frac{\partial U}{\partial V} \right\vert_T \right) \left. \frac{\partial V}{\partial T} \right\vert_p</math>
:<math>C_p -C_V = \left( p + \left. \frac{\partial U}{\partial V} \right\vert_T \right) \left. \frac{\partial V}{\partial T} \right\vert_p</math>
==Adiabatic index==
Sometimes the ratio of heat capacities is known as the ''adiabatic index'':
:<math>\gamma = \frac{C_p}{C_V}</math>
==Excess heat capacity==
==Excess heat capacity==
In a classical system the excess heat capacity for a monatomic fluid is given by subtracting the  [[Ideal gas: Energy |ideal internal energy]]  (which is kinetic in nature)
In a classical system the excess heat capacity for a monatomic fluid is given by subtracting the  [[Ideal gas: Energy |ideal internal energy]]  (which is kinetic in nature)
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