The liquid-phase reaction aàb is to be carried out isothermally. it is desired to treat a stream of 10 l/min of a with a concentration of a of 2 mol/l such that 90% of a is converted to b.

(2) if the rate law is –ra = kca1/2, where k = 3 mol1/2/(l1/2 min), can it be determined without calculation whether a cstr or a pfr would require less volume in order to carry out this reaction at the desired conversion. explain your answer.
(4) determine the size of the cstr needed for the kinetics provided in part
(6) determine the size of the pfr needed for the kinetics provided in part
(1) find the residence time for the reactor system in part
(5) for the volume calculated in part how long would it take to reach the desired conversion in a batch reactor if the initial concentration is 2 mol/l.
(2) your answers in parts d.) and e.) should match (within rounding). explain conceptually why this makes sense.
(3) the rate law in part a.) was found to be incorrect. in addition to the numerator, it also has a denominator 1+k’ca, where k’ = 1 l/mol. can it be determined without calculation whether a cstr or a pfr would require less volume in order to carry out this reaction at the desired conversion? explain your answer.
(4) determine the size of the cstr needed for the kinetics provided in part g.) such that the exiting concentration of a is 0.2 mol/l.
(6) determine the size of the pfr needed for the kinetics provided in part g.) such that the exiting concentration of a is 0.2 mol/l.