Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute so that the volume of liquid in it remains constant. 140 120 100 80 60 40 20 4 8 10 12 time t in minutes Let s be the grams of salt in the tank at time t. What is the differential equation satisfied by s? How long does the process have to continue until there are 45 grams of salt in the tank? Your answer should be either exact or accurate to at least 6 decimal digits. minutes grams of salt
Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is added at a rate of 3 liters per minute. The tank is well mixed and drained at 3 liters per minute so that the volume of liquid in it remains constant. 140 120 100 80 60 40 20 4 8 10 12 time t in minutes Let s be the grams of salt in the tank at time t. What is the differential equation satisfied by s? How long does the process have to continue until there are 45 grams of salt in the tank? Your answer should be either exact or accurate to at least 6 decimal digits. minutes grams of salt
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:Initially 5 grams of salt are dissolved in 30 liters of water in a tank. Brine with salt concentration 3 grams per liter is added at a rate of 3 liters per minute. The
tank is well mixed and drained at 3 liters per minute so that the volume of liquid in it remains constant.
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time t in minutes
Let s be the grams of salt in the tank at time t. What is the differential equation satisfied by s?
How long does the process have to continue until there are 45 grams of salt in the tank?
Your answer should be either exact or accurate to at least 6 decimal digits.
minutes
grams of salt
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