Question

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) How much salt is in the tank when it overflows?

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
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....
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 is filled with 10 gallons of brine in which is dissolved 5 lb of...
A tank is filled with 10 gallons of brine in which is dissolved 5 lb of salt. Brine containing 3 lb of salt per gallon enters the tank at a rate of 2 gal per minute, and the well-stirred mixture is pumped out at the same rate. (a) Find the amount of salt in the tank at any time t. (b) How much salt is in the tank after 10 minutes? (c) How much salt is in the tank after...
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 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
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 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 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.)
Consider a 400-gallon capacity tank of water that contains 200 gallons of water in which 10...
Consider a 400-gallon capacity tank of water that contains 200 gallons of water in which 10 pounds of salt are dissolved. Suppose that water with a salt concentration of 2 pounds per gallon enters the tank at a rate of 6 gallons per minute, is well-stirred, and the mixture leaves the tank at 9 gallons per minute. Set up and solve the initial value problem to get the amount of salt as a function of time. Use this function to...
A 2000 gallon tank initially contains a mixture of 750 gallons of water and 100 gallons...
A 2000 gallon tank initially contains a mixture of 750 gallons of water and 100 gallons of salt. Water is added at a rate of 8 gallons per minute, and salt is added at a rate of 2 gallons per minute. At the same time, a well mixed solution of "brine" is exiting at a rate of 5 gallons per minute. What percentage of the mixture is salt when the tank is full?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT