Repeat the derivations of the previous problem for a mixing process in which both pure fluids, initially at a temperature T and pressure P, are mixed at constant temperature and the pressure then adjusted so that the final volume of the mixture is equal to the sum of the initial volumes of the pure components (i.e., there is no volume change on mixing).

previous problem

In Sec. 9.1 we considered the changes in thermodynamic properties on forming an ideal gas mixture from a collection of ideal gases at the same temperature and pressure. A second, less common way of forming an ideal gas mixture is to start with a collection of pure ideal gases, each at the temperature T and volume V , and mix and compress the mixture to produce an ideal gas mixture at temperature T and volume V . 

a. Show that the mixing process described here is mixing at constant partial pressure of each component. 

b. Derive each of the entries in the following table.