Question

A brine solution of salt flows at a rate of 3 L/min into a large tank...

A brine solution of salt flows at a rate of 3 L/min into a large tank that initially held
200 L of pure water. The solution flowing into the tank has a concentration that is given
by c(t) = 5. The solution inside the tank is kept super stirred. It flows out
of the tank at a rate of r(t) = 5 in L/min. Set up a DE that governs this situation in
terms of the mass of salt in the tank and solve it.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A brine solution of salt flows at a constant rate of 10 L/min into a large...
A brine solution of salt flows at a constant rate of 10 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 6 L/min. If the concentration of salt in the brine entering the tank is 4 kg/L, determine the mass of salt in the tank after t min.
A brine solution of salt flows at a constant rate of 7 ​L/min into a large...
A brine solution of salt flows at a constant rate of 7 ​L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.4 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 0.04 ​kg/L, determine the mass of salt in the tank after t min. When will the...
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 0.2 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 0.02 ​kg/L, determine the mass of salt in the tank after t min. When will the...
A brine solution of salt flows at a constant rate of 6 L/min into a large...
A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 50 L of brine solution in which was dissolved 0.5 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 0.05 kg/L, determine the mass of salt in the tank after t min. When will the...
A brine solution of salt flows at a constant rate of 7 ​L/min into a large...
A brine solution of salt flows at a constant rate of 7 ​L/min into a large tank that initially held 100 L of brine solution in which was dissolved 0.5 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 0.05 ​kg/L, determine the mass of salt in the tank after t min. When will the...
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 0.5​kg/L, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach...
A brine of solution of salt enters at a constant rate of 4 L/min into a...
A brine of solution of salt enters at a constant rate of 4 L/min into a large tank that initially held 100L of pure water. The solution inside the tank flows out of the tank at 3L/min. if the concentration of salt in the brine entering the tank is 0.2 kg/L, determine the mass of salt in the tank after t minutes. When will the salt in the tank reach 0.1 kg/L?
A tank contains 30 gallons of brine solution containing 10 lb of salt. Another brine solution...
A tank contains 30 gallons of brine solution containing 10 lb of salt. Another brine solution of concentration of 3 lb/gallon is poured into the tank at the rate of 2 gallons/min. The well stirred solution in the tank is drained out at the rate of 2 gallons/min. Let the amount of salt in the tank at time ? be ?(?). Write the differential equation for A(t) and solve it.
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per...
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? y=
A tank initially holds 100 gal of brine solution. At t = 0, fresh water is...
A tank initially holds 100 gal of brine solution. At t = 0, fresh water is poured into the tank at the rate of 5 gal/min, while the well-stirred mixture leaves the tank at the same rate. After 20 min, the tank contains 20/e lb of salt. Find the initial concentration of the brine solution inside the tank. Ans.: 0.20 lb/gal
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT