A huge tank initially holds 1000 liters of brine containing 25 kg of salt. Another brine solution is pumped into the tank at a rate of 10 liters/minute. The concentration of the inflow is 0.25 kg of salt per liter. The well stirred solution is then pumped out of the tank at the same rate as the entering solution. a. If Q(t) is the amount of salt (in kilograms) in the tank at time, t, what is the time-rate of change in Q(t)? b. How much salt is in the tank after 2 hours? c. how much salt is in the tank after a very long time?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Differential Equations. Show complete
solution.
A huge tank initially holds 1000 liters of brine
containing 25 kg of salt. Another brine solution is
pumped into the tank at a rate of 10 liters/minute. The
concentration of the inflow is 0.25 kg of salt per liter.
The well stirred solution is then pumped out of
the tank at the same rate as the entering solution.
a. If Q(t) is the amount of salt (in kilograms) in
the tank at time, t, what is the time-rate of
change in Q(t)?
b. How much salt is in the tank after 2 hours?
c. how much salt is in the tank after a very long
time?
Transcribed Image Text:Differential Equations. Show complete solution. A huge tank initially holds 1000 liters of brine containing 25 kg of salt. Another brine solution is pumped into the tank at a rate of 10 liters/minute. The concentration of the inflow is 0.25 kg of salt per liter. The well stirred solution is then pumped out of the tank at the same rate as the entering solution. a. If Q(t) is the amount of salt (in kilograms) in the tank at time, t, what is the time-rate of change in Q(t)? b. How much salt is in the tank after 2 hours? c. how much salt is in the tank after a very long time?
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