Question

in a closed 2 tank both tank a and tank b have 500 gallons of salt...

in a closed 2 tank both tank a and tank b have 500 gallons of salt solution with initially tank a having 100 pounds of salt and tank b having 0 pounds of salt. water is leaving tank a and entering tank b at 1 gal/min and water is leaving tank b and entering tank a at 1 gal/min solve the linear system

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A large tank holds 300 gallons of a brine solution. Salt was entering and leaving the...
A large tank holds 300 gallons of a brine solution. Salt was entering and leaving the tank; a brine solutions was being pumped into the tank at the rate of 3 gal/min; it mixed with the solution there, and the mixture was then pumped out at a rate of 2 gal/min so the liquid is accumulating at a rate of 1gal/min. The concentration of salt in the inflow was 2 lb/gal  salt was entering at the rate of (2 lb/gal) ....
3. A tank initially contains a solution of 10 lbs of salt dissolved in 60 gallons...
3. A tank initially contains a solution of 10 lbs of salt dissolved in 60 gallons of water. At time t(0) = 0, water that contains 1/2 lb of salt per gallon is added tot he tank at a rate of 6 gal/min, and the resulting solution leaves the tank at the same rate. (Trench: Sec 4.3, 9) (a) What is the initial condition for the IVP? (b) Write a differential equation to describe the rate of change dQ/dt in...
A large tank is filled with 80 gallons of fluid in which 2 pounds of salt...
A large tank is filled with 80 gallons of fluid in which 2 pounds of salt are dissolved. Brine containing 1/2 pound of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is then pumped out at the same rate of 3 gal/min. Find the concentration of salt in the tank after 30 minutes.
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 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 contains 100 gallons of pure water. A salt solution with concentration 2.5 lb/gal enters...
A tank contains 100 gallons of pure water. A salt solution with concentration 2.5 lb/gal enters the tank at a rate of 4 gal/min. Solution drains from the tank at a rate of 4 gal/min. Find the eventual concentration of the salt solution using a qualitative analysis rather than by actually solving the DE.
A 110 gallon tank initially contains 5 lbs salt dissolved in 60 gallons of water. Brine...
A 110 gallon tank initially contains 5 lbs salt dissolved in 60 gallons of water. Brine containing 1 lb salt per gallon begins to flow into the tank at the rate of 3 gal/min and the well-mixed solution is drawn off at the rate of 1 gal/min. How much salt is in the tank when it is about to overflow? (Round your answer to the nearest integer.)
Differential equations: 1. Initially, a large tank with a capacity of 100 gallons contains 50 gallons...
Differential equations: 1. Initially, a large tank with a capacity of 100 gallons contains 50 gallons of clean water. A salt solution with a concentration of 5lb / gal flows into the tank at a rate of 15 gal / min. The solution is perfectly well mixed while removing solution at a rate of 14 gal / min. Find the amount of salt the instant it fills up. *GIVEN OPTIONS: a) 499.9 - b) 1250.8 - c) 200.9 - d)...
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.
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