A 2500-gallon tank initially contains 500 gallons of water with 6 pounds of salt dissolved in it. Water enters the tank at a rate of 8 gal/hr and the water entering the tank has a salt concentration of (1/5)(1 + cos t) lb/gal. If a well-mixed solution leaves the tank at a rate of 5 gph, determine the following: a) the time when the tank overflows, b) the amount of salt as a function of t, and c) the amount of salt in the tank when it overflows
A 2500-gallon tank initially contains 500 gallons of water with 6 pounds of salt dissolved in it. Water enters the tank at a rate of 8 gal/hr and the water entering the tank has a salt concentration of (1/5)(1 + cos t) lb/gal. If a well-mixed solution leaves the tank at a rate of 5 gph, determine the following: a) the time when the tank overflows, b) the amount of salt as a function of t, and c) the amount of salt in the tank when it overflows
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A 2500-gallon tank initially contains 500 gallons of
water with 6 pounds of salt dissolved in it. Water
enters the tank at a rate of 8 gal/hr and the water
entering the tank has a salt concentration of (1/5)(1 +
cos t) lb/gal. If a well-mixed solution leaves the tank
at a rate of 5 gph, determine the following: a) the time
when the tank overflows, b) the amount of salt as a
function of t, and c) the amount of salt in the tank
when it overflows
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