ps_1 - DOWNSTREAM PROCESSING Problem Set #1 Problem 1...

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D OWNSTREAM P ROCESSING Problem Set #1 Problem 1 Dunnill and Lilly (“Protein Extraction from Microbial Cells”, Single Cell Proteins II, S. Tannenbaum and D.I.C. Wang (eds.), MIT Press, Cambridge, Mass, 1975) observed that protein recovery from passage of baker’s-yeast cell suspensions through a large pressure drop confined to a small volume (homogenizer) conformed to the following equation: m m R log KN RR ⎛⎞ = ⎜⎟ ⎝⎠ where K = first-order rate constant = κ P α where κ and α depend on the microbe and P is the operating pressure N = number of passes through homogenizer R m = maximal achievable protein release R = protein release after N passes They also found that the relationship between K and pressure for baker’s yeast is represented by the data shown in Figure 1. 0.01 0.1 1 100 1000 Pressure (kg f / cm 2 ) K Figure 1: Relationship Between K and Pressure for Baker’s Yeast (N = 1) 1
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a) Show that a first-order rate law gives the expression observed, treating N as a continuous variable.
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 20.410j taught by Professor Rogerd.kamm during the Spring '03 term at MIT.

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ps_1 - DOWNSTREAM PROCESSING Problem Set #1 Problem 1...

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