Catalyst chemical reaction

For the irreversible 2nd order catalytic chemical reaction 
 

A reactant solution of 2 mol/L is fed into an adiabatic packed bed reactor at 8 (L/s) at the temperature of 373K, and its density is 0.95 (kg/L). The rate constant k’ is  at 373k. The heat capacity of the reaction solution system is 4800 J/(kg×K) constantly throughout the reaction.

The enthalpy of reaction is . The activation energy of the forward reaction is .

Calculated the weight of catalyst needed for 65% reactant conversion.

[20 Marks]