A first –order irreversible reaction is carried out on a catalyst of characteristic dimension 0.2 cm and effective diffusivity of 0.015 cm ² /s. At 100 ^o C the intrinsic rate constant has been measured to be 0.93 s ^-1 with an activation energy of 20 kcal/mol.

a. For a surface concentration of 3.25 x10 ^-2 mol/L, what is the observed rate of reaction at 100 ^o C?

b. For the same reactant concentration, what is the observed rate of reaction at 150 ^o C? Assuming that Diffusivity is independent of temperature.

c. What value of the activation energy would be observed?

d. Compare values of the Thiele modulus at 100 ^o C and 150 ^o C.