In a two-stage chemostat system, the volumes of the first and second reactors are V1 = 500 I and V2 = 300 I, respectively

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In a two-stage chemostat system, the volumes of the first and second reactors are V1 = 500 I and V2 = 300 I, respectively. The first reactor is used for biomass production and the second is for a secondary metabolite formation. The feed flow rate to the first reactor is F = 1001/h, and the glucose concentration in the feed is S = 5.0 O. Use the following constants for the cells:

m_¥ = 0.3h^-1,    K_s = 0.1g/I,   Y_yes = 0.4 g dw cells/g glucose

a. Determine cell and glucose concentrations in the effluent of the first stage.
b. Assume that growth is negligible in the second stage and the specific rate of product formation is q _p = 0.2 g P/g cell h, and Y _p/s = 0.6 g P/g. Determine the product and substrate concentrations in the effluent of the second reactor