A gas oil is cracked at 630°C and 1 bar by passing vaporized feed through a packed bed of spheres of silica alumina catalyst with radius =0.088 cm. For a feed rate of 60 cm3 liquid/h, a 50 percent conversion is found. The following data are also known

Assume effective diffusivity in catalyst = 8 x 1⁰3 cm²/s average reactant concentration = 0.8 x10^-5mol/cm³ liquid density =0.869 g/cm³ feed molecular weight = 225 g/mol bulk density of packed bed = 0.7 g cat./cm³

Solid density of catalyst = 0.95 g cat./cm³ cat

Assume a first-order reaction and treat data as being average data of a differential reactor.

a) Show that the average reaction rate is 3.9 × 10-5 mol/cm3 cat. s.

b) Determine from the data whether or not pore diffusion wasimportant.

c) Find the value of the effectiveness factor.

d) Determine the value of the rate coefficient.