Question

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

Math   Calculus   
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 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 tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 3 gal/min,with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
A 100-gallon tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into...
A 100-gallon tank initially contains pure water. A solution of dye containing 0.3 lb/gal flows into the tank at the rate of 5 gal/min and the resulting mixture flows out at the same rate. After 15 min, the process is stopped and fresh water flows into the tank at the same rate. Find the concentration of dye in the tank at the end of 30 min. Ans.: 0.075 lb/gal
A tank originally contains 100 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 100 gal of fresh water. Then water containing 1/2 lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 5 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the...
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 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 500​-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing...
A 500​-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing 2 lb of salt per gallon enters the tank at a rate of 5 ​gal/s, and the​ well-mixed brine in the tank flows out at the rate of 3 ​gal/s. How much salt will the tank contain when it is full of​ brine?
A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved....
A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved. A brine containing 4 ​lb/gal of salt runs into the tank at the rate of 6 ​gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 5 ​gal/min. Let y represent the amount of salt at time t. Complete parts a through f. a. At what rate​ (pounds per​ minute) does salt enter the tank at...
A tank contains 100 gal of brine made by dissolving 80 lb of salt in water....
A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4 gal/min, and the mixture, kept uniform by stirring runs out at the same rate. Find the amount of salt in the tank at t=8 min.
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT