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P9-16 The production of a product P from a particular gram-negative bacteria follows the Monod growth law Pmax C.C. Ks+C, with max = 1 h¹, Ks = 0.25 g/dm³, and Y = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of C = 0.1 g/dm³ and substrate concentration of C, = 20 g/dm³. CcCo+Y(C,0 – C₂) Plot -- C₂, and C as a function of time. and C = 0. What is the (b) The reaction is now to be carried out in a CSTR with C₂ = 20 g/dm³ dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product raté (g/h) if Y 0.15 g/g? What are the concentrations C, C₁, C, and -, at this value of D? with

P9-16 The production of a product P from a particular gram-negative bacteria follows the Monod growth law Pmax C.C. Ks+C, with max = 1 h¹, Ks = 0.25 g/dm³, and Y = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of C = 0.1 g/dm³ and substrate concentration of C, = 20 g/dm³. CcCo+Y(C,0 – C₂) Plot -- C₂, and C as a function of time. and C = 0. What is the (b) The reaction is now to be carried out in a CSTR with C₂ = 20 g/dm³ dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product raté (g/h) if Y 0.15 g/g? What are the concentrations C, C₁, C, and -, at this value of D? with

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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P9-16, The production of a product P from a particular gram-negative bacteria follows the Monod growth law max CC Ks+C with µmax = 1 h¹, Ks = 0.25 g/dm³, and Yo = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of Co= 0.1 g/dm³ and substrate concentration of C„ = 20 g/dm³. ******** C Co+Y(C₂0-C,) Plot -- C₂, and C as a function of time. (b) The reaction is now to be carried out in a CSTR with Co= 20 g/dm³ and C= 0. What is the dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product raté (g/h) if Yp/c y 0.15 g/g? What are the concentrations C₁, C₂, C, and -r, at this value of D? (d) How would your answers to (b) and (c) change if cell death could not be neglected with k, = 0.02 h ¹? (e) How would your answers to (b) and (c) change if maintenance could not be neglected with m = 0.2 g/h/dm³? (f) Redo part (a) and use a logistic growth law 9q and plot C, and y, as a function of time. The term C., is the maximum cell mass concentration and capacity, and is equal to C. 1.0 g/dm³. Can you find an analytical solution P-max alna
Transcribed Image Text:P9-16, The production of a product P from a particular gram-negative bacteria follows the Monod growth law max CC Ks+C with µmax = 1 h¹, Ks = 0.25 g/dm³, and Yo = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of Co= 0.1 g/dm³ and substrate concentration of C„ = 20 g/dm³. ******** C Co+Y(C₂0-C,) Plot -- C₂, and C as a function of time. (b) The reaction is now to be carried out in a CSTR with Co= 20 g/dm³ and C= 0. What is the dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product raté (g/h) if Yp/c y 0.15 g/g? What are the concentrations C₁, C₂, C, and -r, at this value of D? (d) How would your answers to (b) and (c) change if cell death could not be neglected with k, = 0.02 h ¹? (e) How would your answers to (b) and (c) change if maintenance could not be neglected with m = 0.2 g/h/dm³? (f) Redo part (a) and use a logistic growth law 9q and plot C, and y, as a function of time. The term C., is the maximum cell mass concentration and capacity, and is equal to C. 1.0 g/dm³. Can you find an analytical solution P-max alna
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