At time t = 0, 5 grams of salt are dissolved into 15 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute. Let ɩ be the Q amount of salt, in grams, in the solution after ₺ minutes t have elapsed. Find a differential equation for the rate of change in the amount of salt, dQ/at, in terms of the amount of salt in the solution Q. dQ dt grams/minute

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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At time t = 0, 5 grams of salt are dissolved into 15 liters of
water. Brine with concentration of salt 4 grams per liter is
added at a rate of 2 liters per minute. The tank is well
mixed and drained at 2 liters per minute. Let ɩ be the
Q
amount of salt, in grams, in the solution after ₺ minutes
t
have elapsed. Find a differential equation for the rate of
change in the amount of salt, dQ/at, in terms of the amount
of salt in the solution Q.
dQ
dt
grams/minute
Transcribed Image Text:At time t = 0, 5 grams of salt are dissolved into 15 liters of water. Brine with concentration of salt 4 grams per liter is added at a rate of 2 liters per minute. The tank is well mixed and drained at 2 liters per minute. Let ɩ be the Q amount of salt, in grams, in the solution after ₺ minutes t have elapsed. Find a differential equation for the rate of change in the amount of salt, dQ/at, in terms of the amount of salt in the solution Q. dQ dt grams/minute
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