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ChE 441 Yannis G. Kevrekidis Revised Last (8th) Homework Set SPRING 2010 Due Friday, May 7 Exercise 1: (previous exercise 3) Real Madeira wine is...

Exercise 1 in the attached file.

ChE 441 SPRING 2010 Yannis G. Kevrekidis Revised Last (8 th) Homework Set Due Friday, May 7 Exercise 1: (previous exercise 3) Real Madeira wine is made only on the island of Madeira, and it is made by fermentation in ten 50-gallon casks (one gallon is 3.785 liters) with fresh juice continuously poured into the first, and the effluent passing successively into each cask and the product from the tenth cask bottled. (a) What is the production of 1 liter bottles if the fermentation time is 1 month? (b) We suddenly find that we fed pure vinegar into the first cask for a 10-min period before switching back to juice. Describe the concentration of vinegar versus time if flow of the juice continues unchanged. If the quality of the wine is affected noticeably by a concentration of 1% of the original vinegar in the cask, how many bottles must be given to the employees? Exercise 2: A chemical plant discharges a reactive chemical at concentration A 0 into a river that is flowing in plug flow with constant velocity u. The chemical decomposes with first order kinetics with a rate constant h. (a) Find an expression for the steady state concentration of the chemical in a town a distance L downstream for a steady leak. . (b) What equation must you solve for the concentration versus time for a steady leak that starts at t=0 ? (c) Sketch solutions versus time for the concentration versus time of an impulse leak assuming (1) plug flow; (2) laminar flow; and (3) plug flow with dispersion.
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