Question

A salt solution containing 2 grams of salt per liter of water is poured into the...

A salt solution containing 2 grams of salt per liter of water is poured into the tank at a rate 3 liter/min where initially contains 30 liters of pure water. The mixture then was drained at the same rate as its poured into the tank. Solve,
Hint:
(??(?) = ???????? ????????????? (??) × ???? ???? (??)? − ????(???? ????????????? (???) ×
i. the initial-value problem that describes the amount of salt in the tank for t > 0
??
???? ???? (???)
ii. the amount of salt in the tank after 20 minutes.
iii. the amount of salt in the tank after a long time (t → ∞)
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 tank originally contains 130 liters of water with 10 grams of salt in solution. Beginning...
A tank originally contains 130 liters of water with 10 grams of salt in solution. Beginning at t=0, water containing 0.1 grams of salt per liter flows into the tank at a rate of 2 liters per minute and the uniform mixture drains from the tank at a rate of 2 liters per minute. Letting t be time in minutes and Q be the amount of salt in the tank at time t measured in grams, formulate an initial value...
A tank originally contains 120 liters of water with 5 grams of salt in solution. Beginning...
A tank originally contains 120 liters of water with 5 grams of salt in solution. Beginning at t=0, water containing 0.4 grams of salt per liter flows into the tank at a rate of 2 liters per minute and the uniform mixture drains from the tank at a rate of 2 liters per minute. Letting t be time in minutes and Q be the amount of salt in the tank at time t measured in grams, formulate an initial value...
A 2 liter tank of water contains 3 grams of salt at time t = 0...
A 2 liter tank of water contains 3 grams of salt at time t = 0 (in minutes). Brine with concen- tration 3t grams of salt per liter at time t is added at a rate of one liter per minute. The tank is mixed well and is drained at 1 liter per minute. At what positive time is there a minimum amount of salt and what is that amount?
A tank initially contains 100 liters of water in which 50 grams of salt are dissolved....
A tank initially contains 100 liters of water in which 50 grams of salt are dissolved. A salt solution containing 10 grams of salt per liter is pumped into the tank at the rate of 4 liters per minute, and the well-mixed solution is pumped out of the tank at the rate of 6 liters per minute. Let t denote time (in minutes), and let Q denote the amount of salt in the tank at time t (in grams). Write...
Initially 5 grams of salt are dissolved in 20 liters of water. Brine with concentration of...
Initially 5 grams of salt are dissolved in 20 liters of water. Brine with concentration of salt 2 grams of salt per liter is added at a rate of 4 liters a minute. The tank is mixed well and is drained at 3 liters a minute. Set up a diff equation for y(t), the number of grams of salt in the tank at time t.Do not solve fory(t). Your answer should look like:y0(t) = you ll in this side
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 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 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 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? (b) How much salt...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT