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Challenge Problem 22-23 Assume for simplicity that the HPLC plate height, H, can be given by Equation 26-23 as B H = + Cu + Cy u == + Cu where C= C,+ CM- (a) By using calculus to find the minimum H, show that the optimal velocity u can be expressed as upt (b) Show that this leads to a minimum plate height Hmin given by Hin- 2VBC %3D (c) Under some conditions for chromatography, C; is negligible compared to CM. For packed HPLC col- umns, CM is given by wd; CM DM where w is a dimensionless constant, d, is the particle size of the column packing, and D, is the diffusion coefficient in the mobile phase. The B coefficient can be expressed as B = 2YDM where y is also a dimensionless constant. Express upt dimensionless constants y and w. and Hmin in terms of D, du and the

Challenge Problem 22-23 Assume for simplicity that the HPLC plate height, H, can be given by Equation 26-23 as B H = + Cu + Cy u == + Cu where C= C,+ CM- (a) By using calculus to find the minimum H, show that the optimal velocity u can be expressed as upt (b) Show that this leads to a minimum plate height Hmin given by Hin- 2VBC %3D (c) Under some conditions for chromatography, C; is negligible compared to CM. For packed HPLC col- umns, CM is given by wd; CM DM where w is a dimensionless constant, d, is the particle size of the column packing, and D, is the diffusion coefficient in the mobile phase. The B coefficient can be expressed as B = 2YDM where y is also a dimensionless constant. Express upt dimensionless constants y and w. and Hmin in terms of D, du and the

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
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Challenge Problem 22-23 Assume for simplicity that the HPLC plate height, H, can be given by Equation 26-23 as B H = + Cu + Cy u == + Cu where C= C,+ CM- (a) By using calculus to find the minimum H, show that the optimal velocity u can be expressed as upt (b) Show that this leads to a minimum plate height Hmin given by Hin- 2VBC %3D (c) Under some conditions for chromatography, C; is negligible compared to CM. For packed HPLC col- umns, CM is given by wd; CM DM where w is a dimensionless constant, d, is the particle size of the column packing, and D, is the diffusion coefficient in the mobile phase. The B coefficient can be expressed as B = 2YDM where y is also a dimensionless constant. Express upt dimensionless constants y and w. and Hmin in terms of D, du and the
Transcribed Image Text:Challenge Problem 22-23 Assume for simplicity that the HPLC plate height, H, can be given by Equation 26-23 as B H = + Cu + Cy u == + Cu where C= C,+ CM- (a) By using calculus to find the minimum H, show that the optimal velocity u can be expressed as upt (b) Show that this leads to a minimum plate height Hmin given by Hin- 2VBC %3D (c) Under some conditions for chromatography, C; is negligible compared to CM. For packed HPLC col- umns, CM is given by wd; CM DM where w is a dimensionless constant, d, is the particle size of the column packing, and D, is the diffusion coefficient in the mobile phase. The B coefficient can be expressed as B = 2YDM where y is also a dimensionless constant. Express upt dimensionless constants y and w. and Hmin in terms of D, du and the
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