Elementary Principles of Chemical Processes, Binder Ready Version
Elementary Principles of Chemical Processes, Binder Ready Version
4th Edition
ISBN: 9781118431221
Author: Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher: WILEY
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Chapter 2, Problem 2.34P

2.34. You arrive at your lab at 8 a.m. and add an indeterminate quantity of bacterial cells to a flask. At 11 a.m. you measure the number of cells using a spectrophotometer (the absorbance of light is directly related to the number of cells) and determine from a previous calibration that the flask contains 3850 cells, and at 5 p.m. the cell count has reached 36,530.

  1. Fit each of the following formulas to the two given data points (that is, determine the values of the two constants in each formula): linear growth, C = Co + kt; exponential growth, C = Coe*'; power-law growth, C = ktb. In these expressions, Co is the initial cell concentration and k and b arc constants.
  2. Select the most reasonable of the three formulas and justify your selection.
  3. Estimate the initial number of cells present at 8 a.m. (/ = 0). State any assumptions you make.
  4. The culture needs to be split into two equal parts once the number of cells reaches 2 million. Estimate the time at which you would have to come back to perform this task. State any assumptions you make. If this is a routine operation that you must perform often, what does your result suggest about the scheduling of the experiment?

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15.6. We want to model the flow of fluid in a flow channel. For this we locate three measuring points A, B, and C, 100 m apart along the flow channel. We inject tracer upstream of point A, fluid flows past points A, B, and C with the following results: At A the tracer width is 2 m At B the tracer width is 10 m At C the tracer width is 14 m What type of flow model would you try to use to represent this flow: dispersion, convective, tanks-in-series, or none of these? Give a reason for your answer.
PROBLEMS A viscous liquid is to react while passing through a tubular reactor in which flow is expected to follow the convection model. What conversion can we expect in this reactor if plug flow in the reactor will give 80% conversion? 15.2. Reaction is second order.
15.4. Aqueous A (CAO (p = 1000 kg/m³, = 1 mol/liter) with physical properties close to water = 10-9 m²/s) reacts by a first-order homogeneous 1 reaction (AR, k = 0.2 s¹) as it flows at 100 mm/s through a tubular 50 mm, L = 5 m). Find the conversion of A in the fluid reactor (d, leaving this reactor.

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