ChE 430 Exam 1 Thursday, February 26, 2002NAME:Instructions: Closed book, closed notes.Problem 1. Stoichiometry.Consider the reaction system2N1−*)−N2N2+ N1−*)−N3N3+ N1−*)−N42N2−*)−N4(a) Determine the species list A and the stoichiometric matrix ν.(b) Is this set of reactions linearly independent? Briefly justify your answer.(c) In addition to these reactions, it is thought that the following initiation stepoccurs:N−*)−N1Is the resulting set of reactions linearly independent?1ChE 430 Exam 1 Thursday, February 26, 2002Problem 2. First and second order in a batch reactor.Consider the liquid-phase reaction2A −→ Band the following two-cases1. First-order reaction, r = kcA2. Second-order reaction, r =˜kc2A(a) Write down the material balances for both cases, solve them and find cA(t).(b) Given cA0= 1.5 mol/L and k = 8 hr−1, how long does it take to reach 95%conversion for the first-order case.(c) Given cA0= 1.5 mol/L and˜k = 5.33 L/mol·hr, how long does it take to reach95% conversion for the second-order case.(d) Draw an accurate sketch of cA(t)/cA0for both of these cases.2ChE 430 Exam 1 Thursday, February 26, 2002Problem 3. Thermodynamics.Consider the gas-phase reactionA(g) + B(g)−*)−C(g) Kthat occurs in the following three-phase system:• Phase I: nonideal liquid mixture of A and B• Phase II: pure liquid C• Phase III: ideal-gas mixture of A, B, and C.The following information is known about the system:• PoA= 0.65 atm• PoB= 0.5 atm• PoC= 0.5 atm• K= 10You may assume that Henry’s law holds for the A-B liquid mixture. The Henry’s lawconstants are:• kA= 2.64 atm• kB= 3.69 atm(a) Assume that all three phases are in intimate contact. Calculate the equilibriumpressure and the compositions in all phases.(b) Calculate the highest equilibrium pressure for which there is no liquid phase. Notethat for the given equilibrium constant, the pure liquid C phase condenses first.Also, the system initially contains an equimolar mixture of A and