A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine solution is pumped into the tank at a rate of 5gal/min and the wellstirred mixture is pumped out of the tank at the same rate. The concentration of salt in the inflow is variable and is given by cin = (2 + sin(t/4))lbs/gal. Find the amount of salt in the tank at any time t.
A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine solution is pumped into the tank at a rate of 5gal/min and the wellstirred mixture is pumped out of the tank at the same rate. The concentration of salt in the inflow is variable and is given by cin = (2 + sin(t/4))lbs/gal. Find the amount of salt in the tank at any time t.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 57CR
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A tank initially contains 300 gallons of water with 50lbs of salt disolved in the
water. A brine solution is pumped into the tank at a rate of 5gal/min and the wellstirred
mixture is pumped out of the tank at the same rate. The concentration
of salt in the inflow is variable and is given by cin = (2 + sin(t/4))lbs/gal. Find
the amount of salt in the tank at any time t.
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