I need help with Question 2.

Question 1. Consider the reaction sequence Where each reaction obeys mass action kinetics. The reaction begins with A and B at concentrations (to M and be M, respectively, and no 0 present. Let a = [A], b = [B] and c = [C]. In assignment 7, we found a system of ODEs, a conservation law and the equilibrium for this reaction scheme. You may refer to the solutions to assignment 7 on Canvas LMS for these. In this assignment we will continue our analysis of the reaction. For the reaction above: (a) Find equations for the vertical and horizontal nullclines in the {1-1) plane (with a. on the horizontal axis, b 0n the vertical axis). (b) Draw by hand a phase plane diagram. Include and label 0 the equilibria the nullclines the ow eld in each region of the plane some plausible trajectories, assuming that initially there is no B present some plausible trajectories, assuming that initially there is no A present Give a mathematical justication for the direction of the ow eld. (c) Sketch plausible graphs of a, b and 0 versus 15 for each of the initial conditions I. GU=IM, bo=0,Cg=0 ll. a020,50=1M,CQ=0 Include and label any asymptotes and axis intercepts. Quest ion 2. For the reaction above, suppose that k1 = 100 M'1 3'], k_1 = 100 3'1 and k2 = 1 sil. Let the initial conditions be (to = 4 M, b0 2 c0 = 0. (a) Use an equilibrium approximation to derive an (approximate) equation for % in terms of a. (b) Use the answer from (a) to estimate 32: at a time when half the initial quantity of A has been used up. (c) According to the equilibrium approximation, does the overall reaction (of A being converted to C) have saturating behaviour? (d) Comment (in 12 lines) on whether or not an equilibrium approximation is reasonable