Question

Beginning at time t=0, fresh water is pumped at the rate of 8 L/min into a...

Beginning at time t=0, fresh water is pumped at the rate of 8 L/min into a 200-L tank initially filled with brine. The resulting less-and-less salty mixture overflows at the same rate into a second 200-L tank that initially contained only pure water, and from there it eventually spills onto the ground. Assuming perfect mixing in both tanks, when will the water in the second tank taste saltiest? And exactly how salty will it then be, compared with the original brine?

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

Homework Answers

Answer #1

If you have any questions please let me know

Please give me up vote

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 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
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 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...
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 50-gallon tank initially contains 10 gallons of fresh water. At t = 0, a brine...
A 50-gallon tank initially contains 10 gallons of fresh water. At t = 0, a brine solution containing 2 pounds of salt per gallon is poured into the tank at a rate of 5 gal/min. The well-stirred mixture drains from the tank at a rate of 3 gal/min. Find the amount of salt in the tank at the moment of overflow. Please use differential equations to solve this problem and please put the answer in decimal form. I did this...
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 tank initially contains salt in the pores of inert materials and 10 gallons of fresh...
A tank initially contains salt in the pores of inert materials and 10 gallons of fresh water. The salt dissolved at a rate per minute of 2 times the difference between 3 lb/gal and the concentration of the brine. Two gal of fresh water enters the tanks per minute. How much salt will be dissolved in the first 10 min? in the second 10 min? Ans.: 40 lb, 32 lb.
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 tank initially contains 3 L of pure water. A solution containing 3 g/L of salt...
A tank initially contains 3 L of pure water. A solution containing 3 g/L of salt is pumped into the tank at a rate of 2 L/min, and the contents of the tank are also pumped out at a rate of 2 L/min. Let y(t) be the amount of salt in the tank at time t. For a short time interval from time t0 to time t0 + h, approximate the change y(t0 + h) − y(t0) in the amount...
A tank initially contains 120 L of pure water. A mixture containing a concentration of 9...
A tank initially contains 120 L of pure water. A mixture containing a concentration of 9 g/L of salt enters the tank at a rate of 3 L/min, and the well-stirred mixture leaves the tank at the same rate. Determine the differential equation for the rate of change of the amount of salt in the tank at any time t and solve it (using the fact that the initial amount of salt in the tank is 0g).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT