(35 pts) Glucose isomerase is used to convert glucose into the sweeter form fructose for use in the beverage industry. Glucose isomerase is immobilized inside spherical beads. The density of enzyme in the beads is 20 mM. 20 cm of beads are packed into a small reactor and the enzyme is used to convert glucose to fructose by adding 75 ml of glucose solution to the reactor at a concentration of 15 mM· The effective diffusivity of glucose in the beads is 2 x 10 em2ls. The observed rate of reaction is 22.5 mmol/(L s). In addition, the following kinetic parameters have been obtained: a) (20 pts) Estimate the number of beads within the reactor. You may assume that n« 3/Ï and neglect film resistance on the surface of the beads. b) (15 pts) Determine the rate of reaction if the same quantity of enzyme is instead surface immobilized onto a 5 cm nonporous support. Assume that the mass transfer coefficient is 0.01 cm/s. In lhe eador Hint: Vphere-4/3TR