BIOCHEMICAL ENGINEERING INSTRUMENTATION - EXAMPLE 29.2 : (a) In order to determine the slurry volume (L) in chromatography, arrange the formula using the following parameters : slurry concentration (%), slurry volume (L), settled chromatography medium volume (L), 100. (b) In order to determine the chromatography medium volume (L) in gel filtration chromatography, arrange the formula using the following parameters : sample volume to be processed (L), chromatography medium volume (L), sample volume in percent of total column volume (%), 100.
BIOCHEMICAL ENGINEERING INSTRUMENTATION - ANSWER 29.2 : (a) By fraction of concentration, [ settled chromatography medium volume (L) ] / [ slurry volume (L) ] = slurry concentration (%) / 100. Then [ slurry volume (L) ] = [ settled chromatography medium volume (L) ] / [ slurry concentration (%) / 100 ]. (b) By fraction of volume, [ sample volume to be processed (L) ] / [ chromatography medium volume (L) ] = sample volume in percent total volume (%) / 100. Then chromatography medium volume (L) = [ sample volume to be processed (L) ] / [ sample volume in percent of total column volume (%) / 100 ]. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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Question 110 - When an algebraic product is defined on the space, the Lie bracket is the commutator [x,y] = xy - yx according to Lie algebra in mathematics. If [p,x] f(x) = px f(x) - xp f(x), p = -ih d / dx, find the value of [p,x] in term of i and h.
Question 55 - The differential equation is 3 dy / dt + 2y = 1 with y(0) = 1. (a) The Laplace transformation, L for given terms are : L (dy / dt) = sY(s) - y(0), L(y) = Y(s), L(1) = 1 / s. Use such transformation to find Y(s). (b) The initial value theorem states that : When t approaches 0 for a function of y(t), it is equal to a function of sY(s) when s approaches infinity. Use the initial value theorem as a check to the answer found in part (a).
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