EXERCISE 2.11. Consider the reaction N2O4 = 2NO2, which occurs in the gas phase. Start initially with 1 mol of N2O4 and no NO2. Assume that the reaction occurs at temperature T and pressure P. Use ideal gas equations for the chemical potential.

(a) Compute and plot the Gibbs free energy G(T, P, ), as a function of the degree of reaction, , for (i) P=1 atm and T = 298 K and (ii) P = 1 atm and T = 596K.

(b) Compute and plot the affinity, A(T, P, ), as a function of the degree of reaction, , for (i) P=1 atm and T = 298 K and (ii) P = 1 and T = 596 K.

(c) What is the degree of reaction, , at chemical equilibrium for P = 1 atm and temperature T = 298 K? How many moles of N2O4 and NO2 are present at equilibrium?

(d) If initially the volume is Vo, what is the volume at equilibrium for P = 1 atm and T = 298 K?

(e) What is the heat of reaction for P- = 1 atm and T = 298 K?