Problem 2 (plate theory). Consider the scale-up of a chromatography column for the purification of a protein. A column of 40 cm length is used with a superficial velocity of 40 cm/h. The peak elutes at 100 min. The standard deviation of the peak is 14 min. (a) How long must you wait to collect 90% of the protein? (b) If the same column is used, but the velocity is increased to 60 cm/hr and external or Taylor dispersion controls, what will be the value of σ. (c) If the column is lengthened to 60 cm while the velocity is at 60 cm/hr, how will σ change? Will the peak be sharper or broader than at 40 cm/hr with a 40 cm column?

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Chapter1: Chemical Foundations
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Problem 2 (plate theory). Consider the scale-up of a
chromatography column for the purification of a protein. A
column of 40 cm length is used with a superficial velocity of 40
cm/h. The peak elutes at 100 min. The standard deviation of the
peak is 14 min.
(a) How long must you wait to collect 90% of the protein?
(b) If the same column is used, but the velocity is increased to
60 cm/hr and external or Taylor dispersion controls, what
will be the value of σ.
(c) If the column is lengthened to 60 cm while the velocity is
at 60 cm/hr, how will σ change? Will the peak be sharper
or broader than at 40 cm/hr with a 40 cm column?
Transcribed Image Text:Problem 2 (plate theory). Consider the scale-up of a chromatography column for the purification of a protein. A column of 40 cm length is used with a superficial velocity of 40 cm/h. The peak elutes at 100 min. The standard deviation of the peak is 14 min. (a) How long must you wait to collect 90% of the protein? (b) If the same column is used, but the velocity is increased to 60 cm/hr and external or Taylor dispersion controls, what will be the value of σ. (c) If the column is lengthened to 60 cm while the velocity is at 60 cm/hr, how will σ change? Will the peak be sharper or broader than at 40 cm/hr with a 40 cm column?
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