a). In an enzyme-catalyzed reaction with stoichiometry AB,A is consumed at a rate given by an expression of the Michaelis-Menten form: rA[mol/(Ls)]=1+k2CAk1CA where CA(mol/L) is the reactant concentration, and k1 and k2 depend only on temperature. i). If the reaction is carried out in an isothermal batch reactor with constant reaction mixture volume V (liters), beginning with pure A at a concentration CA0, derive an expression for the reaction rate dCA/dt, and provide an initial condition. ii). Solve the differential equation of Part (i) to obtain an expression for the time required to achieve a specified concentration CA. iii). State qualitatively how you would plot and determine the numerical values of k1 and k2 from experimental data of CA at various times t ? b). The proportion of people in a community infected with a virus that stays active only for two weeks is y and the proportion uninfected is x. If the virus spreads only by contact between infected and uninfected members of the community, derive the differential equation that governs the virus spread and solve it assuming the fraction infected at t=0, is y0. What happens over a long period and how would you contain the spread