Question
In: Advanced Math
A brine solution of salt flows at a constant rate of 4 L/min into a large...
A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held 100 L of pure water. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. If the concentration of salt in the brine entering the tank is 0.6 kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach 0.1 kg/L?
Solutions
Colby Messinger answered 1 year agoRelated Solutions
A brine solution of salt flows at a constant rate of 4 L/min into a large...
A brine solution of salt flows at a constant rate of 4 L/min
into a large tank that initially held 100 L of pure water. The
solution flows out of the tank at a rate of 3 L/min. Set up a DE
that governs this situation in terms of the mass of salt in the
tank. Solve it.
A brine solution of salt flows at a constant rate of 8 L/min into a large...
A brine solution of salt flows at a constant rate of 8 L/min
into a large tank that initially held 100 L of brine solution in
which was dissolved 0.15 kg of salt. The solution inside the tank
is kept well stirred and flows out of the tank at the same rate. If
the concentration of salt in the brine entering the tank is 0.03
kg/L, determine the mass of salt in the tank after t min. When
will the...
A nitric acid solution flows at a constant rate of 6L/min into a large tank that...
A nitric acid solution flows at a constant rate of 6L/min into a
large tank that initially held 200L of a 0.5% nitric acid solution.
The solution inside the tank is kept well-stirred and flows out of
the tank at a rate of 8L/min. If the solution entering the tank is
20% nitric acid, determine the volume of nitric acid in the tank
after t min. When will the percentage of nitric acid in the tank
reach 10%? (Ans: (0.4)(100-t)-(3.9x10-7...
A large tank holds 1000 L of water into which flows a brine solution with concentration...
A large tank holds 1000 L of water into which flows a brine
solution with concentration of 1 kg / L at a rate of 6 L / min. The
solution in the tank is kept well stirred and is flowing out of the
tank at a rate of 5 L / min. Determine when the concentration of
salt will reach 0.5 kg / L.
A tank contains 400 gallons of brine (salt in solution) in which 125 pounds of salt...
A tank contains 400 gallons of brine (salt in solution) in which
125 pounds of salt has been dissolved. Freshwater (with no salt
added) runs into the tank at a rate of 4 gallons per minute, and
the stirred mixture is drained from the tank at the same rate. (1)
Find the amount of salt in the tank after an hour. (2) How long
does it take to reduce the amount of salt in the tank to 10
pounds?
A pickle factory discharges brine with a salt concentration of 7 g/L at a flow of...
A pickle factory discharges brine with a salt concentration of 7
g/L at a flow of 4.5 m3/s to a river with a flow of 150 m3/s and a
salt concentration of 150 mg/L upstream of the pickle factory. The
salt concentration in the river cannot exceed 400 mg/L.
(a) Is the factory in compliance with this standard? Support
your answer with calculations. (pay attention to units!)
(b) Describe (in complete sentences) at least one potential
environmental impact of the...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 7000 L of water. Brine
that contain 0.041 kg of salt per liter of water enters the tank at
a rate of 25 L/min. The solution is kept thoroughly mixed and
drains from the tank at the same rate. How much Kg salt remains in
the tank if as time approaches to infinite?
A saline solution with concentration 3 % flows at a constant rate into a tank with...
A saline solution with concentration 3 % flows at a constant
rate into a tank with capacity 1500 gallons, initially full of a 7
% saline solution. The solutions remain well-mixed and the rate of
flow of mixed solution out of the tank is twice the rate of flow
into the tank.
What constant rate of flow into the tank will dilute the
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How much solution will be in the...
Methane (CH4) gas flows into a combustion chamber at a rate of 200 L/min at 1.50...
Methane (CH4) gas flows into a combustion chamber at a rate of
200 L/min at 1.50 atm and ambient temperature. Air is added to the
chamber at 1.00 atm and the same temperature, and the gases are
ignited.
a. To ensure complete combustion of CH4 to CO2(g) and H2O(g), three
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mole percent O2 and 79 mole percent N2, calculate the flow rate of
air necessary to deliver...
A tank contains 9,000 L of brine with 11 kg of dissolved salt. Pure water enters...
A tank contains 9,000 L of brine with 11 kg of dissolved salt.
Pure water enters the tank at a rate of 90 L/min. The solution is
kept thoroughly mixed and drains from the tank at the same rate.
(a) How much salt is in the tank after t minutes?
(b) How much salt is in the tank after 10 minutes? (Round your
answer to one decimal place.)
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