Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A (t) in the tank at time t > 0. After t minutes, there are [rate] gallons of brine in the tank. The rate at which salt is leaving is Rout= ([rate1] gal/min) · . A 300+t lb/gal = 2A 300+t lb/min Use the math editor to type out the differential equation for the amount of salt A (t) in the tank at time t > 0.
Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation for the amount of salt A (t) in the tank at time t > 0. After t minutes, there are [rate] gallons of brine in the tank. The rate at which salt is leaving is Rout= ([rate1] gal/min) · . A 300+t lb/gal = 2A 300+t lb/min Use the math editor to type out the differential equation for the amount of salt A (t) in the tank at time t > 0.
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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![Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of
salt have been dissolved. Another brine solution is pumped into the tank at a rate of
3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of
2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential
equation for the amount of salt A (t) in the tank at time t > 0.
After t minutes, there are [rate] gallons of brine in the tank.
The rate at which salt is leaving is
Rout= ([rate1] gal/min).
A
300+t
lb/gal
2A
300+t
lb/min
Use the math editor to type out the differential equation for the
amount of salt A (t) in the tank at time t > 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc5ebffb-7087-4ab0-8ca3-ea5dc8499d12%2F5a355e97-3f28-4663-aa7e-3d5875f9afa7%2Feqpgtkd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of
salt have been dissolved. Another brine solution is pumped into the tank at a rate of
3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of
2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential
equation for the amount of salt A (t) in the tank at time t > 0.
After t minutes, there are [rate] gallons of brine in the tank.
The rate at which salt is leaving is
Rout= ([rate1] gal/min).
A
300+t
lb/gal
2A
300+t
lb/min
Use the math editor to type out the differential equation for the
amount of salt A (t) in the tank at time t > 0.
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