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Cibracon blue F 3 G - A is a competitive inhibitor of some enzymes. You were asked to determine whether Cibracon blue F 3 G

Cibracon blue F3G-A is a competitive inhibitor of some enzymes. You were asked to determine whether Cibracon blue F3G-A covalently attached to agarose would be useful for the chromatographic separation of aldehyde dehydrogenase. The inhibition constant (Kin) for inhibition of aldehyde dehydrogenase by Cibracon Blue F3G-A is 4.2\mu M (the inhibition constant is the dissociation constant for the enzyme-inhibitor complex). Assuming this same value applies for the reaction between the enzyme and the immobilized dye, estimate the velocity of the enzyme through a column packed with Cibracon Blue F3G-A immobilized to agarose (\epsi =0.35). Assume that the effective dye concentration is 5\mu mols Cibracon Blue F3G-A per milliliter bed volume, that the enzyme is applied at a concentration of 5mM and travels through the column in plug flow (shock wave), and that the solvent velocity through the column is 0.01 cm/sec. State any other assumptions you must make to complete your analysis.
The answer was given as 5.646*10^-5 cm/sec. How do I get this answer ?

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