Consider a spherical porous catalyst particle in a catalytic reactor submerged in a gas stream containing reactant A and product B. Species A diffuses through the pores in the catalyst particle and is converted to B on the catalytic surfaces. The conversion of A to B is a first-order irreversible reaction. Assume that the concentration of the reactant A is C0 = 1 M just outside the surface of the catalyst. Even though an analytical solution can be obtained for this problem, you are supposed to solve this problem numerically. Find the concentration of A at r = 0.4 mm
and at r = 0.7 mm.
Given that
Thiele modulus Φ = 2
Radius of catalyst particle R = 1 mm