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Bacteria (Pseudomonas sp.) are grown in an 8.0 L CSTR/chemostat on limiting substrate, acetate. The cells are growing in the exponential growth phase with a mass doubling time of 2.33 hours. The saturation constant (Ks) is 1.65 g/L, and cell yield on acetate is 0.41 g cell/g acetate. If a chemostat is operated with a sterile feed stream containing 38.2 g/L acetate (and the rest of the nutrients supplied in excess), find the following: A. the specific growth rate during exponential growth (max)... which equals the maximum dilution rate (Dmax) B. the steady state substrate concentration in the CSTR when the dilution rate is 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax C. the steady state cell concentration when the dilution rate is half of the maximum (Dmax), 0.8 Dmax, and 0.9 Dmax

Bacteria (Pseudomonas sp.) are grown in an 8.0 L CSTR/chemostat on limiting substrate, acetate. The cells are growing in the exponential growth phase with a mass doubling time of 2.33 hours. The saturation constant (Ks) is 1.65 g/L, and cell yield on acetate is 0.41 g cell/g acetate. If a chemostat is operated with a sterile feed stream containing 38.2 g/L acetate (and the rest of the nutrients supplied in excess), find the following: A. the specific growth rate during exponential growth (max)... which equals the maximum dilution rate (Dmax) B. the steady state substrate concentration in the CSTR when the dilution rate is 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax C. the steady state cell concentration when the dilution rate is half of the maximum (Dmax), 0.8 Dmax, and 0.9 Dmax

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Bacteria (Pseudomonas sp.) are grown in an 8.0 L CSTR/chemostat on limiting substrate, acetate. The cells are growing in the exponential growth phase with a mass doubling time of 2.33 hours. The saturation constant (Ks) is 1.65 g/L, and cell yield on acetate is 0.41 g cell/g acetate. If a chemostat is operated with a sterile feed stream containing 38.2 g/L acetate (and the rest of the nutrients supplied in excess), find the following: A. the specific growth rate during exponential growth (μmax)... which equals the maximum dilution rate (Dmax) B. the steady state substrate concentration in the CSTR when the dilution rate is 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax C. the steady state cell concentration when the dilution rate is half of the maximum (Dmax), 0.8 Dmax, and 0.9 Dmax D. the rate of cell production DX (gdw cells/L-h) and total cell production rate FX (gdw cells/h) when operated at 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax. E. Calculate Dopt (optimum dilution rate to maximize cell production) and the total cell production rate at this optimal dilution rate. Discuss your answers to parts C, D & E. Do they make sense?
Transcribed Image Text:Bacteria (Pseudomonas sp.) are grown in an 8.0 L CSTR/chemostat on limiting substrate, acetate. The cells are growing in the exponential growth phase with a mass doubling time of 2.33 hours. The saturation constant (Ks) is 1.65 g/L, and cell yield on acetate is 0.41 g cell/g acetate. If a chemostat is operated with a sterile feed stream containing 38.2 g/L acetate (and the rest of the nutrients supplied in excess), find the following: A. the specific growth rate during exponential growth (μmax)... which equals the maximum dilution rate (Dmax) B. the steady state substrate concentration in the CSTR when the dilution rate is 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax C. the steady state cell concentration when the dilution rate is half of the maximum (Dmax), 0.8 Dmax, and 0.9 Dmax D. the rate of cell production DX (gdw cells/L-h) and total cell production rate FX (gdw cells/h) when operated at 0.5 Dmax, 0.8 Dmax, and 0.9 Dmax. E. Calculate Dopt (optimum dilution rate to maximize cell production) and the total cell production rate at this optimal dilution rate. Discuss your answers to parts C, D & E. Do they make sense?
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