In a two-stage chemostat system, the first bioreactor is used to generate biomass while the the second bioreactor is used for secondary metabolite production (assume no cell growth occurs in the second reactor). The feed flow rate is F = 100 L/h. The effluent from the first reactor to the second reactor has a glucose concentration (S₂) of 0.2 g/L and a cell concentration of 1.92 g/L.

The cells being used have the following properties:

In the second stage, the specific rate of product formation is q_p = 0.2 gP/g cell-h, and Y_P/S = 0.6 gP/gS.

Determine the product and substrate concentrations in the effluent of the second reactor.

um=0.3h! K, = 0.1 g/1, Pris = 0.4 8 dw cells g glucose