. (17 points) Suppose that a reversible reaction converts a chemical A into a chemical B and vice versa. Suppose that the forward reaction (A > B) proceeds with a rate of k1 = 5 min1 and the reverse reaction proceeds with a rate of k2 = 3 min1. Suppose also that at the beginning of the reaction, there are 8 moles of A and 8 moles of B present. (a) Set up a system of differential equations with initial values modeling this reaction. (1)) Without solving the equations, determine the nal (equilibrium) concentrations of A and B, A,>0 and Boo. (c) Is it possible that at any point during the reaction, the concentrations of A and B are 10 and 6 moles respectively? Explain. (Hint: sketch solution curves! You don't need to solve to do that.) (d) Suppose that under different conditions, the reaction proceeds with k1 = 50 min'1L and k2 = 30 min1. What would this tell about the reaction