Real gases total internal energy

Many thermodynamic quantities, such as total internal energy, entropy, chemical potential, etc., for an ideal gas have been derived in the preceeding chapters as examples. In this section we will bring all these results together and list the thermodynamic properties of gases in the ideal gas approximation. In the following section we will see how these quantities can be calculated for real gases, for which we take into account molecular size and molecular forces. 

As a result of molecular forces, the total internal energy U, the relation between the molar heat capacities Cp and Cy, the equation for adiabatic processes and other themodynamic quantities will differ from those for the ideal gas. In this section we shall see how the thermodynamic quantities of a real gas can be obtained from an equation of state that takes molecular size and forces into account. 

Example 6.2 Calculate the total internal energy of a real gas using the Berthelot equation (6.2.2a). 

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