Ethylene chlorohydrin $($A$)+$ NaHCO$3($B$)$ Ethylene Glycol $($C$)+$ NaCl $($D$)+$ CO$2($E$)$ A$+$B$---->$C$+$D$+$E

The rate constant of the simple$\_$elementary reaction at $80\backslash$deg C is k$=5\mathrm{.}2$ L$/($kmol$.$ h$).$ A pilot study was conducted to determine the economic feasibility of producing substance C from two separate solutions containing $30\%$ substance A and $20\%$ substance B by weight. With the equal initial concentration feed obtained by mixing the solutions, $20$ kg of substance C will be produced per hour with a conversion rate of $90\%.$ According to this;

a$.$If the reaction is carried out in a PFR under these conditions, the volume of PFR to be used is

b$.$ Calculate the CSTR volume if CSTR is used for the same production rate, feed and conversion rate.

Additional data:

MA$=80\mathrm{.}5$ kg$/$kmol

MB$=84$ kg$/$kmol

Mc$=62$ kg$/$kmol