The elementary reversible liquid phase reaction is carried out adiabatically in

packed bed reactors which are connected in series. These reactors have enough catalyst packing

to achieve $99\%$ of the corresponding equilibrium conversion for this reaction. There are

interstage coolers between these reactors that cool the reaction medium exiting from each

reactor to $350K.$ The molar fractions of $A,B$ and inert solvent in the feed to the first reactor

are $0\mathrm{.}25,0\mathrm{.}25$ and $0\mathrm{.}50,$ respectively. The temperature of the feed is $27C$ and the amount of $A$

in the feed is $0\mathrm{.}01$kmol$\frac{e}{m}in.$ The heat capacities of the $A,B,C$ and inert solvent are $20\mathrm{.}92,$

$8\mathrm{.}37,29\mathrm{.}28$ and $6\mathrm{.}28\frac{J}{m}ol{e}_{}C,$ respectively. The heat of reaction at $273K$ is $-41839\frac{J}{m}$oleA.

The following fractional equilibrium conversion vs temperature data is available for this

reaction:

What should be the number of packed bed reactors in series to achieve overall $0\mathrm{.}55$ fractional

conversion of $A$ in this system?