Problem $1[20$ marks$]$ P can be produced from A according to the first order irreversible reaction: ArarrPquad$-$r$\_($A$)=$k$\_($A$)$C$\_($A$)[$molm$^(-3)$s$^(-1)]$ The reaction is carried out in a non$-$ideal reactor, containing two immiscible liquid phases. The compounds A$,$ P are located $($exclusively$)$ in the dispersed phase. The continuous phase is ideally mixed. For the dispersed phase, the RTD diagram has been determined experimentally and is given in Figure P$1.$ The average residence time in the reactor equals $100$s$.$ a$)$ Determine the values of a and t$^(**)$ a$=0\mathrm{.}0088$s$-1"$ and $"$t$=28\mathrm{.}6$s $($If you were not able to determine the value of a and t$^(**)$ in question a$)$ then continue the problem using a$=1\mathrm{.}25*10^(-2)[$s$^(-1)]$ and t$^(**)=20[$s$]),$ which are not the correct answers to a$)).$ b$)$