The growth of bacteria to form a product, P, is carried out in a 25 dm² CSTR. The bacteria consume the nutrient substrate to generate more cells and the desired product: Substrate → More Cells + Product, catalyzed by cells currently in the system The CSTR was initially inoculated with bacteria and now has reached steady state. Only substrate (nutrient) is fed to the reactor at a volumetric crate of 5 dm³/h and a concentration of 30 g/dm³. The growth law of the cells, rg (grams cells / (h dm³)), is expressed as: Hmax CsCc Km + Cs Where µmar = 0.5hr" and K„ = 5 g/ dm³. The rate of substrate consumption is related to growth rate by: -rs = Ys/c\g Where Ysc is the grams of substrate consumed per gram of cells produced, 1.25 for this system.

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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answer letters b and c. do not type your answer

(b) Solve the cell mass balance for the cell, Cc, and substrate, Cs, concentration in the reactor.
Transcribed Image Text:(b) Solve the cell mass balance for the cell, Cc, and substrate, Cs, concentration in the reactor.
The growth of bacteria to form a product, P, is carried out in a 25 dm² CSTR. The bacteria
consume the nutrient substrate to generate more cells and the desired product:
Substrate → More Cells + Product, catalyzed by cells currently in the system
The CSTR was initially inoculated with bacteria and now has reached steady state. Only
substrate (nutrient) is fed to the reactor at a volumetric crate of 5 dm³/h and a concentration of 30
g/dm³. The growth law of the cells, rg (grams cells / (h dm³)), is expressed as:
Hmax CsCc
Km + Cs
Where µmar = 0.5hr" and K„ = 5 g/ dm³. The rate of substrate consumption is related to growth rate
by:
-rs = Ys/c\g
Where Ysc is the grams of substrate consumed per gram of cells produced, 1.25 for this system.
Transcribed Image Text:The growth of bacteria to form a product, P, is carried out in a 25 dm² CSTR. The bacteria consume the nutrient substrate to generate more cells and the desired product: Substrate → More Cells + Product, catalyzed by cells currently in the system The CSTR was initially inoculated with bacteria and now has reached steady state. Only substrate (nutrient) is fed to the reactor at a volumetric crate of 5 dm³/h and a concentration of 30 g/dm³. The growth law of the cells, rg (grams cells / (h dm³)), is expressed as: Hmax CsCc Km + Cs Where µmar = 0.5hr" and K„ = 5 g/ dm³. The rate of substrate consumption is related to growth rate by: -rs = Ys/c\g Where Ysc is the grams of substrate consumed per gram of cells produced, 1.25 for this system.
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