The enzyme Invertase is used as a catalyst for the inversion of sucrose, a very

important process in the food industry. To study this reaction, we introduce $400$L of a solution containing $200$kg

of sucrose and $0\mathrm{.}5$kg of Invertase, in a jacketed stirred tank reactor. The density of the solution remains constant

throughout the entire process.

b$)$ Under normal operational conditions, the process will be stopped as soon as the reaction rate is half of its initia

value, and it will require $1$ hour to empty the reactor, sterilise it$,$ and prepare it for the next batch. Calculate the

number of cycles that can be completed per day. Consider the molecular weight of sucrose to be $342$kgkmol$^(-1).$Concentration of sucrose, $C_S=(kmol{m}^{-3})$