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help asap Consider the biosensor device shown in the figure below. The biosensor is designed to measure the concentration of solute A in the well-mixed
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Consider the biosensor device shown in the figure below. The biosensor is designed to measure the concentration of solute A in the well-mixed liquid phase. At the base of the device is an electrode of surface area 3.0cm2. The electrode is coated with an enzyme that catalyzes the reaction 2AD. When solute A reacts to product D, product D is detected by the electrode, enabling for direct measurement of the flux of product D, which at steady state can be used to determine the concentration of A in the bulk liquid. The rate of reaction of A at the enzyme surface is rapid relative to the rate of diffusion of A down to the surface. Directly above the enzyme-coated electrode is a 1.5cm thick (=L) gel layer that serves as a diffusion barrier for solute A and protects the enzyme. The gel layer is designed to make the flux of A down to the enzyme-coated surface diffusion limited. Above the gel layer is a well-mixed liquid containing a constant concentration of solute A,CAes. The solubility of solute A in the liquid differs from the solubility of A in the gel layer. Specifically, the equilibrium solubility of A in the liquid layer (CA) is related to the solubility of A in the gel layer (CA) by CA=Kc, with equifibrium partitioning constant K=0.5cm2 gel /cm2 liquid. The process is considered very dilute, and the total molar concentration of the gel layer is unknown. The concentration of product D in the well-mixed liquid is very small so that c00=0. The effective diffusion coefficient of component A in the gel is 1.9107cm2/s. Calculate the rate of production of product D,W0, in mol/s if the concentration of solute A in the well-mixed liquid, c _o is 4.0104molcm1 Step by Step Solution
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