Question

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.
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 large tank contains 800 gal of water in which 42 lb of salt are dissolved....
A large tank contains 800 gal of water in which 42 lb of salt are dissolved. Brine containing 2 lb of of dissolved salt per gal is pumped into the tank at a rate of 4 gal per minute, and the mixture, kept uniform by stirring, is pumped out at the same rate. (a) Find the amount x(t) of salt in the tank, at time t. (b) How long will it take for the amount of salt in the tank...
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 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.
A tank contains 70 lb of salt dissolved in 200 gallons of water. A brine solution...
A tank contains 70 lb of salt dissolved in 200 gallons of water. A brine solution is pumped into the tank at a rate of 2 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 2 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.
Suppose the tank in the figure below initially contains 800 gals of water in which 190...
Suppose the tank in the figure below initially contains 800 gals of water in which 190 lbs of salt is dissolved. Brine runs in at a rate of 10 gal min and each gallon contains .5 lb of dissolved salt. The mixture in the tank is kept uniform by stirring. The brine solution is withdrawn from the tank at a rate of 8 gals min. Let s(t) represent the amount of salt in the tank at anytime t, and develop...
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 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 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 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 tank contains 144 gal of water and 48 oz of salt. Water containing a salt...
A tank contains 144 gal of water and 48 oz of salt. Water containing a salt concentration of   (1/6+1/12sin  t) oz/gal flows into the tank at a rate of 3 gal/min, and the mixture in the tank flows out at the same rate. (a) Find the amount of salt in the tank at any time. The amount of salt in the tank is Q(t)=
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT