An amino acid of interest was produced in a fed-batch culture using glucose in the feed medium. The initial volume of the quasi-steady state culture was V0= 500 L, and the nutrient solution containing glucose was added at a constant flow rate of F = 50 L/h. Data: X0 (at the beginning of feeding) = 20 g/L, S0 = 300 g/L, max = 0.2 h-1,

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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An amino acid of interest was produced in a fed-batch culture using glucose in the feed medium. The initial volume of the quasi-steady state culture was V0= 500 L, and the nutrient solution containing glucose was added at a constant flow rate of F = 50 L/h.
Data: X0 (at the beginning of feeding) = 20 g/L, S0 = 300 g/L, max = 0.2 h-1, KS = 0.5 g/L and Y x/s= 0.3 g/g

a) Determine the volume of the culture at t = 10h
b) Determine the concentration of glucose at t = 10 h
c) determine the concentration and total mass of cells at t = 10 h
d) If the product is associated with growth with α = 1.5 and P0 = 0.1 g/L, determine the
product concentration at t = 10h.

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