What is the volume of CSTR required to achieve 80% conversion for  A --> B reaction which has a constant rate with a rate constant k = 5 mole/(L*min).  The feed concentration is 0.5 mole/L and the liquid feed flow is 2 L/min. a. 10 L b. 1 L c. 0.5 L d. 0.16 L e. 5 L

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-2 The hydrolysis of urea by urease occurs in a batch bioreactor. The reaction follows a Michaelis- Menten mechanism. The following kinetic data are available for urea: K'm=7.7×10 M, v =0.5 mole/L/min. The initial concentration of urea in the reactor is 50 mole/L. m E+S ES-²E + P Vm[S] Km + [S] Calculate the concentration of urea in the reactor 10 minutes after the reaction starts v= (Hint: it is a batch reactor, meaning that you need to integrate the MM, see module 1 for details of batch reactors).

A substrate S will be converted to a product P by an irreversible uni-molecular enzyme reaction with the Michaelis constant Km = 0.010 kmol m^-3 and the maximum rate Vmax = 2.0 x 10^-5 kmol m^-3 s^-1. 1. A substrate solution of 0.1 kmol m^-3 is reacted in a stirred-batch reactor using the free enzyme. Determine the initial reaction rate and the conversion of the substrate after 10 min. 2. Immobilized-enzyme beads with a diameter of 10 mm containing the same amount of the enzyme above are used in the same stirred-batch reactor. Determine the initial reaction rate of the substrate solution of 0.1 kmol m^-3. Assume that the effective diffusion coefficient of the substrate in the catalyst beads is 1.0 x 10^-6 cm^2 s^-1. 3. How small should the diameter of immobilized-enzyme beads be to achieve an effectiveness factor larger than 0.9 under the same reaction conditions, as in case (2)?