Kehoe and Butt [1. Kehoe and J. Butt, AIChE 1., 18 (1972) 347] have reported the kinetics of benzene hydrogenation of a supported, partially reduced...

Kehoe and Butt [1. P. Kehoe and J. B. Butt, AIChE 1., 18 (1972) 347] have reported the kinetics of benzene hydrogenation of a supported, partially reduced Ni/kieselguhr catalyst. In the presence of a large excess of hydrogen (90 percent) the reaction is pseudo-fIrst-order at temperatures below 200°C with the rate given by:

r = (P*k*K)*exp(-E/(RT))*Pb

where

Pb = benzene partial pressure, torr

P = dihydrogen partial pressure, torr

K = 4.22 X 10- 11 torr-1

k = 4.22 mol/gcat/s/torr

E = -2.7 kcal/mol

For the case of P = 685 torr, P_b = 75 torr, and T = 150 C, estimate the

effectiveness factor for this reaction carried out in a spherical catalyst particle

of density 1.88 gcat/cm3, DeTB = 0.052 cm2/s, and Rp = 0.3 cm.