SCAN0054 - 2 Effective Diffusivi of X lose in Particles of...

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Unformatted text preview: 2. Effective Diffusivi of X lose in Particles of Immobilized Glucose Isomerase (5 ptS) Problem 11, p. 155, Blanch & Clark Given: T=60°C, [SO]=1.5 M xylose, pH 8.0, p=l.4 g/cm3, KM,obs=0.209 M, Graph with initial rates versus particle size Assume: the maximum activity would not increase if the particles were made smaller e. g. we are not diffusion limited at this point (< 80 um), the effectiveness factor at this point is equal to l and the observed rate is equal to Vmax a). Estimate the effective diffusivity of xylose in particles of Sweetzyme Q. The proper formula to calculated Deff is V R2 D = 0b.: 1 5’” [S.1c1>9 ( ) Begin by calculating Vmax: Vmaxi (0.285 umol/min mg)*(1000 mg/g)*(l mol/ 106 umol)* 1.4 g / cc Vmax= 4 * 10'4 mol/ cc min Now calculate B: [3 2 [So] =fl—= 7.18 KM 0.209M V obs At each data point on the graph given in the problem, I], = max We also have the equation CD : (R/3)2* (Vobs/ Deff*so) which can be rearranged so that we can make a plot that has Deff as the slope (this is a double reciprocal plot) _ [So] x_ R2*Vabs*1.4 g3 cm _i y CI) ...
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