P4.23 Insulin is a protein hormone that helps to regulate blood glucose. Normally, insulin is produced in the pancreas and secreted into the blood stream as needed. People with some forms of diabetes do not produce sufficient quantities of insulin and must inject insulin daily. Although once made by purification from pig pancreas, now virtually all therapeu- tic insulin is made by using recombinant DNA technology. E. coli bacte- ria are genetically engineered to produce a fast-acting insulin. The bacteria are grown in a 10.0 L flask, operated in a batch mode. Initially, 20 g of bacteria and 10.0 L broth are loaded into the flask, and the fer- mentation starts. The mass of E. coli in the flask at any time, mpsyg? described by the equation: is Mb,sys = Mp,sys,oe0.174 with t in hours. Insulin production rate is proportional to the mass of bac- teria in the flask: řins = 16mp,sys with iins in units of mg insulin/h. The fermentation is stopped when the bacterial mass reaches 500 g. For how long does the fermentation run? What is the total amount of insulin produced? eketations

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
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Chapter1: Introduction
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P4.23 Insulin is a protein hormone that helps to regulate blood glucose.
Normally, insulin is produced in the pancreas and secreted into the blood
stream as needed. People with some forms of diabetes do not produce
sufficient quantities of insulin and must inject insulin daily. Although
once made by purification from pig pancreas, now virtually all therapeu-
tic insulin is made by using recombinant DNA technology. E. coli bacte-
ria are genetically engineered to produce a fast-acting insulin. The
bacteria are grown in a 10.0 L flask, operated in a batch mode. Initially,
20 g of bacteria and 10.0 L broth are loaded into the flask, and the fer-
mentation starts. The mass of E. coli in the flask at any time, m,sy is
described by the equation:
,0.17t
Mp,sys
with t in hours. Insulin production rate is proportional to the mass of bac-
teria in the flask:
16m,sys
řins
with iins in units of mg insulin/h. The fermentation is stopped when the
bacterial mass reaches 500 g. For how long does the fermentation run?
What is the total amount of insulin produced?
----+inno hinh throughnut robotic workstations
Transcribed Image Text:P4.23 Insulin is a protein hormone that helps to regulate blood glucose. Normally, insulin is produced in the pancreas and secreted into the blood stream as needed. People with some forms of diabetes do not produce sufficient quantities of insulin and must inject insulin daily. Although once made by purification from pig pancreas, now virtually all therapeu- tic insulin is made by using recombinant DNA technology. E. coli bacte- ria are genetically engineered to produce a fast-acting insulin. The bacteria are grown in a 10.0 L flask, operated in a batch mode. Initially, 20 g of bacteria and 10.0 L broth are loaded into the flask, and the fer- mentation starts. The mass of E. coli in the flask at any time, m,sy is described by the equation: ,0.17t Mp,sys with t in hours. Insulin production rate is proportional to the mass of bac- teria in the flask: 16m,sys řins with iins in units of mg insulin/h. The fermentation is stopped when the bacterial mass reaches 500 g. For how long does the fermentation run? What is the total amount of insulin produced? ----+inno hinh throughnut robotic workstations
Expert Solution
Step 1

In a batch mode reaction, the reactants are fed initially and the products are removed at the end of the process. There is no continuous feeding of reactants or removal of products. 

The initial amount of insulin is to be used to calculate the time required for the process to complete. The time therefore calculated can help in finding out the amount of total insulin produced. 

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