2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 7 gal/min and the well- stirred mixture in the tank is pumped out at the rate of 5 gal/min. Suppose the salt concentration of the entering solution is 4 lbs/gal. Determine the amount of salt in the tank at time t. That is, set-up, and solve the differential equation for A(t), the amount of salt (in lbs) at time t (in minutes).
2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 7 gal/min and the well- stirred mixture in the tank is pumped out at the rate of 5 gal/min. Suppose the salt concentration of the entering solution is 4 lbs/gal. Determine the amount of salt in the tank at time t. That is, set-up, and solve the differential equation for A(t), the amount of salt (in lbs) at time t (in minutes).
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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Transcribed Image Text:2. Suppose a large mixing tank initially holds 300 gallons of water in which 40 lbs of salt have
been dissolved. Another brine solution is pumped into the tank at a rate of 7 gal/min and the well-
stirred mixture in the tank is pumped out at the rate of 5 gal/min. Suppose the salt concentration
of the entering solution is 4 lbs/gal.
Determine the amount of salt in the tank at time t. That is, set-up, and solve the differential equation
for A(t), the amount of salt (in lbs) at time t (in minutes).
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