3. Partial oxidation of cholesterol to cholest-4en-3one is an important step in steroid synthesis for some oral contraceptives. The reaction can be catalyzed enzymatically, using oxygen as an oxidizer. (A) cholesterol (B) cholestenone The overall reaction is cholesterol+O2cholestenone+H2O2. The rate expression is: rcholesterol=k2+CcholesterolCO2k1CcholesterolCO2k1=0.001LmolL1s1andk2=5106(M)2 In the aqueous solvent required for the enzyme to function, the solubility of oxygen is 1mM. A batch membrane reactor is used to perform the reaction. The membrane is permeable to oxygen. Oxygen from the outside air crosses the membrane and enters the reactor at a rate =kmembC02. The rate constant kmemb=0.01s1. The batch reactor initially contains 15mM cholesterol, and is saturated with O2. Plot concentrations of cholesterol, cholestenone, O2 and H2O2 vs. time. How long will it take to convert 80 percent of the cholesterol to cholestenone