Question

In: Advanced Math

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 concentration of salt in the tank reach 0.01 kg/L?

Solutions

Expert Solution

Please feel free to ask any query in the comment box and don't forget to rate if you like.


Related 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 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...
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 solution in the tank to 4 % in 16 hours? How much solution will be in the...
A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution...
A tank contains 40 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine A(t), the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by cin(t) = 2 + sin(t/4) lb/gal. A(t) =
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 times as much oxygen as is necessary is reacted. Assuming air is 21 mole percent O2 and 79 mole percent N2, calculate the flow rate of air necessary to deliver...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT