The 1st order catalytic reaction AB is to be carried out in an isothermal plug flow reactor containing porous catalyst pellets of radius 0.5 cm. the specific gravity of the pellet is 3.5 and the bed voidage is 0.5. The reaction rate constant/kg of catalyst is 410-5 m3 gas/(kg cat.sec) and the effective diffusivity of A in the porous solid is estimated to be 1.610-6 m3 gas/(kg cat.s). Calculate the weight of catalyst required to produce 90% conversion of A when the gas feed rate is 4 m3/sec, and the molar concentration of A is 0.2 kmol/m3 gas. (External mass transfer limitations may be neglected).