You are asked to design a reactor to carried out the following reaction: A B where the reaction follows the second order kinetics as: ra = kca2", where the value of the rate constant (k) is 0.5

(1) What are the units of the rate constant, k, expressed in moles, dm3 , and minutes?

(2) If the reaction is carried out in a batch reactor with a volume of 5 dm3 and an initial amount of A of 10 moles in the reactor (without B initially present in the reactor), how long does it take when the concentration of product B reaches 1.5 mol/dm3 ? What is the concentration of A at this moment? What is the conversion of A at this moment? (20 pts) How much more time does it take when the conversion of A reaches 90%? What are the concentrations of A and B at this moment?

(3) If the reaction is carried out in a continuous stirred tank reactor (CSTR), with the concentration of A in the inlet stream at 2 mol/dm3 and the volumetric flow rates at 0.5 dm3 /min for both inlet and outlet streams, what is the size (i.e., volume) of the reactor needed to reach a conversion of 90%? Assume that no B is present in the inlet stream? What are the concentrations of A and B in the exit stream?

(4) If the reaction is carried out in a continuous stirred tank reactor (CSTR), with the concentration of A in the inlet stream at 2 mol/dm3 and the volumetric flow rates at 0.5 dm3 /min for both inlet and outlet streams, what is the conversion achieved if the reactor has a volume of 15 dm3 ? Assume that no B is present in the inlet stream? What are the concentrations of A and B in the exit stream?

(5) If the reaction is carried out in a plug flow reactor (PFR), with the concentration of A in the inlet stream at 2 mol/dm3 and the volumetric flow rates at 0.5 dm3 /min for both inlet and outlet streams, what is the size (i.e., volume) of the reactor to reach a conversion of 90%? Assume that no B is present in the inlet stream? What are the concentrations of A and B in the exit stream? What is the space time of the reactor?