7) You are tasked with separating two proteins by ion exchange chromatography on a 30 cm long column with an inner diameter of 2 cm. The resin has a diameter of 100 μm and a void fraction of 0.3, and your mobile phase flows through the column at a rate of Q = 5 cm³/min. The Van Deemter coefficients A, B, and C have been determined to be 0.0228 cm, 0.0036 cm²/min, and 0.00053 min, respectively, for both proteins. Protein A elutes from the column with an average retention time of 27 min and standard deviation of 0.8 min. Protein B elutes from the column. with an average retention time of 33.8 min and standard deviation of 1.0. a) How many theoretical plates does the column contain? b) What flow rate (Q) will give you the maximum resolution? c) What is the minimum height of a theoretical plate for the system? What flow rate (Q, in L/min) will give the maximum resolution if you scale up the process in problem 7 to a column with a diameter of 50 cm? (Use the conditions in the problem statement, not the optimal flow conditions calculated in the problem).

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
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7) You are tasked with separating two proteins by ion exchange chromatography on a 30 cm long
column with an inner diameter of 2 cm. The resin has a diameter of 100 μm and a void fraction
of 0.3, and your mobile phase flows through the column at a rate of Q = 5 cm³/min. The Van
Deemter coefficients A, B, and C have been determined to be 0.0228 cm, 0.0036 cm²/min, and
0.00053 min, respectively, for both proteins. Protein A elutes from the column with an average
retention time of 27 min and standard deviation of 0.8 min. Protein B elutes from the column.
with an average retention time of 33.8 min and standard deviation of 1.0.
a) How many theoretical plates does the column contain?
b) What flow rate (Q) will give you the maximum resolution?
c) What is the minimum height of a theoretical plate for the system?
Transcribed Image Text:7) You are tasked with separating two proteins by ion exchange chromatography on a 30 cm long column with an inner diameter of 2 cm. The resin has a diameter of 100 μm and a void fraction of 0.3, and your mobile phase flows through the column at a rate of Q = 5 cm³/min. The Van Deemter coefficients A, B, and C have been determined to be 0.0228 cm, 0.0036 cm²/min, and 0.00053 min, respectively, for both proteins. Protein A elutes from the column with an average retention time of 27 min and standard deviation of 0.8 min. Protein B elutes from the column. with an average retention time of 33.8 min and standard deviation of 1.0. a) How many theoretical plates does the column contain? b) What flow rate (Q) will give you the maximum resolution? c) What is the minimum height of a theoretical plate for the system?
What flow rate (Q, in L/min) will give the maximum resolution if you scale up the process in
problem 7 to a column with a diameter of 50 cm? (Use the conditions in the problem
statement, not the optimal flow conditions calculated in the problem).
Transcribed Image Text:What flow rate (Q, in L/min) will give the maximum resolution if you scale up the process in problem 7 to a column with a diameter of 50 cm? (Use the conditions in the problem statement, not the optimal flow conditions calculated in the problem).
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