Unformatted text preview: MthSc 208, Spring 2011 (Differential Equations) Dr. Macauley HW 5 Due Wednesday February 9th, 2011 (1) A tank contains 100 gal of pure water. A salt solution with concentration 3 lb/gal enters the tank at a rate of 2 gal/min. Solution drains from the tank at a rate of 2 gal/min. Without doing any math , determine the eventual concentration of the salt solution in the tank (i.e., the steadystate solution). (2) A tank contains 100 gal of pure water. At time zero, a sugarwater solution containing 0 . 2 lb of sugar per gal enters the tank at a rate of 3 gal per minute. Simultaneously, a drain is opened at the bottom of the tank allowing the sugar solution to leave the tank at 3 gal per minute. Assume that the solution in the tank is kept perfectly mixed at all time. (a) What will be the sugar content in the tank after 20 minutes? (b) How long will it take the sugar content in the tank to reach 15 lb?...
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 Spring '09
 Staufeneger
 Differential Equations, Equations, Glucose, Tank, Dr. Macauley HW

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