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16. In an enzyme-catalyzed reaction with stoichiometry A B. A is consumed at a rate given by an expression of the Michaelis-Menten form: rA[mol/(Ls)]=1+k2CAk1CA where

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16. In an enzyme-catalyzed reaction with stoichiometry A B. A is consumed at a rate given by an expression of the Michaelis-Menten form: rA[mol/(Ls)]=1+k2CAk1CA where CA(moll) is the reactant concentration, and k1 and k2 depend only on temperature. (a) 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. Write a balance on A and integrate it to obtain an expression for the time required to achieve a specified concentration CA. (b) Use the expression of part (a) to devise a graphical method of determining k1 and k : from data for CA versus t. Your plot should involve fitting a straight line and determining the two parameters from the slope and intercept of the line. (There are several possible solutionsi Then apply your method to determine k1 and k2 for the following data taken in a 2.00-liter reactor, beginning with A at a concentration CAB=5.00mol/L

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