Chapter 9, Problem 9.15P

The biomass reaction

$\text{Substrate S}+\text{Cells}\to \text{More cells}+\text{Product}$

takes place in a 12-dm³ CSTR (chemostat) where the entering concentration of substrate is 200 g/dm³. The rate law follows the Monod equation with μ_max = 0.5s⁻¹ and K_S = 50 g/dm³. What is the volumetric flow rate, v₀ (dm³/h), that will give the maximum production rate of cells (g/h)?