The kinetics of a homogeneous liquid reaction are studied in a flow reactor, and to approximate plug flow the 48-cm long reactor is packed with 5- mm nonporous pellets. If the conversion is 99% for a mean residence time of 1 sec, calculate the rate constant for the first-order reaction

(a) Assuming that the liquid passes in plug flow through the reactor

(b) Accounting for the deviation of the actual flow from plug flow 

(c) What is the error in calculated k if deviation from plug flow is not considered?

Data: Bed voidage E = 0.4

Particle Reynolds number Re, = 200