Repeat the above problem, except this time solve by the differential method.

Data from above problem

At room temperature sucrose is hydrolyzed by the catalytic action of the enzyme sucrase as follows:

Starting with a sucrose concentration C_A0 = 1.0 millimol/liter and an enzyme concentration CEO = 0.01 millimol/liter, the following kinetic data are obtained in a batch reactor (concentrations calculated from optical rotation measurements):

Determine whether these data can be reasonably fitted by a kinetic equation of the Michaelis-Menten type, or

If the fit is reasonable, evaluate the constants k₃ and C_M. Solve by the integral method.

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sucrose sucrase products