(a) Use [Eqs. (9.23) and (6.4)] and Eq. (4.65) applied to pure gas i to show that G of an...

(a) Use [Eqs. (9.23) and (6.4)] and Eq. (4.65) applied to pure gas i to show that G of an ideal gas mixture at T is given by where Pi and ni are the partial pressure and number of moles of gas i in the mixture, and is the Gibbs energy of ni moles of pure gas i at temperature T and pressure Pi. (This result was mentioned in Sec. 6.1.)

(b) Use and the result of (a) to show that for an ideal gas mixture

(c) Use G = H - TS to show that for an ideal gas mixture H = (d) Show that for an ideal gas mixture CP =  and (e) Find CP at 25°C and 500 torr of a mixture of 0.100 mol of O2(g) and 0.300 mol of CO2(g), using Appendix data. State any assumptions made.