Question

A 500-gallon tank initially contains 100gal of brine containing 50lb of salt. Brine containing 2lb of...

A 500-gallon tank initially contains 100gal of brine containing 50lb of salt. Brine containing 2lb of salt per gallon enters the tank at the rate of 4gal per minute and the well stirred solution leaves the tank at a rate of 8gal per minute.

(a) How long will it be before the tank is empty

(b) Determine the differential equation that gives the amount A(t) of salt (in pounds) in the tank at any time t before it is emptied.

(c) Solve your differential equation

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
Using differential equation: A 200- gallon tank initially contains 40 gallons of brine in which 10...
Using differential equation: A 200- gallon tank initially contains 40 gallons of brine in which 10 pounds of salt have been dissolved. Starting at t=0 , brine containing 5 pounds of salt per gallon flows into the tank at rate of 6 gallons per minutes. At the same time, the well-stirred mixture flows out of the tank at the slower rate of 4 gallons per minute. a)How much salt is in the tank at the end of t minutes? b)...
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 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 100 gallon tank is filled with brine solution containing 50 pounds of salt. Pure water...
A 100 gallon tank is filled with brine solution containing 50 pounds of salt. Pure water enters the tank a rate of 10 gal per hour. Well mixed solution leaves the first tank at the same rate (10 gal/hr) and enters a second 100 gallon tank initially containing 10 pounds of salt. How much salt is in tank 2 at any time?
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 200-gallon tank is currently half full of water that contains 30 pounds of salt. A...
A 200-gallon tank is currently half full of water that contains 30 pounds of salt. A solution containing 3 pounds of salt per gallon enters the tank at a rate of 5 gallons per minute, and the well-stirred mixture is withdrawn from the tank at a rate of 5 gallons per minute. How many pounds of salt are in the tank 10 minutes later?
A tank contain 200 gallons of water. Five gallons of brine per minute flow into the...
A tank contain 200 gallons of water. Five gallons of brine per minute flow into the tank, each gallon of brine containing 1 pound of salt. Five gallons of water flow out of the tank per minute. Assume that the tank is kept well stirred. Find a differential equation for the number of pounds of salt in the tank (call it y) Assuming the tank intially contains no salt, solve this differential equation. At what time will there be 100...
A tank initially contains 100 pounds of salt dissolved in 500 gallons of water. Saltwater containing...
A tank initially contains 100 pounds of salt dissolved in 500 gallons of water. Saltwater containing 5 pounds of salt per gallon enters the tank at the rate of 2 gallons per minute. The mixture (kept uniform by stirring) is removed at the same rate of 2 gallons per minute. How many pounds of salt are in the tank after an hour?
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).
A cistern contains 40 gallons of brine with 8 pounds of salt. Another brine solution containing...
A cistern contains 40 gallons of brine with 8 pounds of salt. Another brine solution containing 2 pounds of salt per gallon is pumped into the cistern at the rate of 4 gallons per minute and the mixture runs out at the same rate. If the cistern is constantly stirred, find the amount of salt in the cistern after T minutes
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT