s11_mthsc208_hw05

s11_mthsc208_hw05 - MthSc 208, Spring 2011 (Differential...

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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 steady-state solution). (2) A tank contains 100 gal of pure water. At time zero, a sugar-water 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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This note was uploaded on 03/11/2012 for the course MTHSC 208 taught by Professor Staufeneger during the Spring '09 term at Clemson.

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