A large mixing tank initially contains 100 gallons of water in which 30 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 4 gallons per minute, and the resulting mixture is pumped out at the same rate. The concentration of the incoming brine solution is 2 pounds of salt per gallon. If A (t) represents the amount of salt in the tank at time t, the correct differential equation for A is O O O d4-2-.04A = 4-.08.A = 8-.02A 4 = 4-.044 04-8-.04A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A large mixing tank initially contains 100 gallons of water in which 30 pounds of salt have been dissolved. Another brine
solution is pumped into the tank at the rate of 4 gallons per minute, and the resulting mixture is pumped out at the same rate.
The concentration of the incoming brine solution is 2 pounds of salt per gallon. If A (t) represents the amount of salt in the
tank at time t, the correct differential equation for A is
O
O
O
d4-2-.04A
= 4-.08.A
=
8-.02A
4 = 4-.044
04-8-.04A
Transcribed Image Text:A large mixing tank initially contains 100 gallons of water in which 30 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 4 gallons per minute, and the resulting mixture is pumped out at the same rate. The concentration of the incoming brine solution is 2 pounds of salt per gallon. If A (t) represents the amount of salt in the tank at time t, the correct differential equation for A is O O O d4-2-.04A = 4-.08.A = 8-.02A 4 = 4-.044 04-8-.04A
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