Problem $5(50$ points$).$ Cibracon blue F$3$G$-$A is a competitive inhibitor of some enzymes. You were asked to determine whether Cibracon blue F$3$G$-$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 F$3$G$-$A is $4\mathrm{.}2M($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 F$3$G$-$A immobilized to agarose $).$ Assume that the effective dye concentration is $5$ mols Cibracon Blue F$3$G$-$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 $0\mathrm{.}01c\frac{m}{sec}.$ State any other assumptions you must make to complete your analysis.