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A chromatographic column is packed with spherical of radius R that is coated with an immobilized enzyme, lactate dehydrogenase. The enzyme converts pyruvate (A) into lactate (B) at the particle surface in a reaction that has pseudo first-order kinetics (r = kCA moles area -1 t-1). Mass transfer takes place within a stagnant film of thinness δ. Assume that δ is much smaller than the particle diameter so that curvature can be neglected. The diffusivity of pyruvate in the liquid film can be represented as DAL and is not affected by the lactate.
a. Derive the concentration profile of pyruvate in the film.
b. Derive an expression for the flux of pyruvate and demonstrate that the flux is proportational to 1(1 + Da-1) where Da, the Damkohler number, is given by δ/DAL.
c. Explain qualitatively what happens to the flux of pyruvate as the reaction rate becomes very fast relative to the diffusion rate (as Da becomes large). Do increases in k have a larger effect on the flux at low or at high Da values? Give a physical explanation for your observation.
Compare and contrast the differences between a single-phase queuing system and multiphase queuing system. Describe your answer in full.
Using the least-significant difference test, identify the significant differences between the programs.
For problem below, state the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision. Use (Type 1 error rate of =.05)
Find the perpendicular distance of the plane 5 x + 2 y - z = -22 from origin 0 by first finding the co-ordinates of the point P on the plane - What is the minimum distance the ant must travel before it gets to the food? How about the fly?
Find an article in a professional journal that uses the tools of numerical measurement we focused on in these chapters. Write a brief report describing the impact of these tools and how they were effective or ineffective in illustrating the resear..
Using the States Data Set and PHStat, create the multiple regression prediction equation.
1) Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female salaries?
Problem 1: If D is the unit sphere centered at (0, 0, 0), evaluate
Question 1: A process is to be monitored with standard values m = 10 and s = 2.5. The sample size is n = 2. (a) Find the center line and control limits for the chart.
A typical recommendation from an inferential test is to either not Reject the null implying no statistical difference in the means or to reject implying there is a statistical difference in the means.
How long will it take before it is considered dangerous to live in this mountain valley - atmospheric pollutants in a certain mountain valley grown according to a natural growth model
Evaluate function when f is U-U continuous.
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