Effective diffusivity is 4.31x10^-8 m^2/s.
A first-order internal diffusion-limited reaction, A -> B, is carried out in a packed bed reactor. Pure reactant A is flowing at 3 m^3/s into the reactor, which is packed with spherical catalyst particles with a particle density of 2800 kg/m^3 and an internal surface area of 280,000 m^2/kg. The catalyst bed has a porosity of 0.5. The reactor is of cylindrical shape with a diameter of 1.5 m and a length of 4 m. The reaction rate constant is 3.5 x 10^-3 m/s and the k.ac is 4 s^-1.
Determine the diameter of the catalyst particles that are required to be used in this reactor in order to yield a conversion of 80% for reactant A.