Question

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 of salt in the tank over the time interval. I don't even know where to begin. Steps and explanation would be amazing.

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

Homework Answers

Answer #1

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

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 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 tank initially contains 50 gal of pure water. Brine containing 4 lb of salt per...
A tank initially contains 50 gal of pure water. Brine containing 4 lb of salt per gallon enters the tank at 2 ​gal/min, and the​ (perfectly mixed) solution leaves the tank at 3 ​gal/min. Thus, the tank is empty after exactly 50 min. ​(a) Find the amount of salt in the tank after t minutes. ​(b) What is the maximum amount of salt ever in the​ tank?
A tank contains 90 kg of salt and 2000 L of water: Pure water enters a...
A tank contains 90 kg of salt and 2000 L of water: Pure water enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 8 L/min. What is the amount of salt in the tank initially? Find the amount f salt in the tank after 4.5 hours. Find the concentration of salt in the solution in the tank as the time approaches infinity. (Assume your tank is large enough to...
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) What is the amount of salt in the tank initially? (b) Find the amount of salt in the tank after 4.5 hours.
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min. Find the amount of salt in the tank after 2 hours. What is the concentration of salt in the solution in the tank as time approaches infinity?
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 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with...
A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with a salt concentration of 50g/L flows into the tank at a rate of R(in)=80L/minutes (min). The fluid mixes instantaneously and is pumped out at a specified rate R(out)=40L/min. Let y(t) denote the quantity of salt in the tank at time t. Set up and solve the differential equation for y(t).
A tank contains 420 liters of fluid in which 10 grams of salt is dissolved. Pure...
A tank contains 420 liters of fluid in which 10 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 6 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t. A(t) =_______g
A tank initially contains 100 gal of a salt-water solution containing 0.05 lb of salt for...
A tank initially contains 100 gal of a salt-water solution containing 0.05 lb of salt for each gallon of water. At time zero, pure water is poured into the tank at a rate of 2 gal per minute. Simultaneously, a drain is opened at the bottom of the tank that allows the salt-water solution to leave the tank at a rate of 3 gal per minute. What will be the salt content in the tank when precisely 50 gal of...
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? (b) How much salt...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT