Immobilized Biomatrix Problem:

A wastewater stream is treated biologically by using a reactor containing immobilized cells in porous particles.

Variation of the rate of substrate consumption with particle size is given in the following table. a$.)$ What are the effectiveness factors for DP $=6$ mm and DP $=10$ mm$?$

b$.)$ The following data were obtained for DP$=6$ mm at different substrate concentrations. Assuming no liquid film resistance, determine the rm and Ks for the microbial system.