Problem S2.7. Consider the reaction = 2HI=2H2 +12, which occurs in the gas phase. Start initially with 2 mol of HI and 0 mol each of H and 12. Assume that the reaction occurs at temperature 7 and pressure P. Use ideal gas equations for the chemical potential.

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

(b) Compute and plot the affinity, A(T, P, E), as a function of the degree of reaction, , for (i) P = 1 atm and T = 298 K and (ii) P = 1 atm 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 HI, H2, and 12 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?