Question

a tank is filled half-full of a mixture 100 liters of water and 50kg of salt....

a tank is filled half-full of a mixture 100 liters of water and 50kg of salt. water runs in to the tank at a rate of 10 liters per second. the mixture is kept uniform by stirring, runs out at the same rate. what is the amount of salt inside the tank after 10 seconds? from the solution of the formulated differential equation, sketch the amount of salt as time approaches infinity.

Engineering   Electrical-Engineering   
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 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.
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 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 is initially filled with 1000 litres of a salt solution containing 1000 grams of...
A tank is initially filled with 1000 litres of a salt solution containing 1000 grams of salt. A solution containing 10 g/l runs into the tank at the rate of 5 l/min and the well stirred mixture runs out of the tank at the same rate. (i) Determine the differential equation with initial condition that models this situation. (ii) Determine how long it will take for the salt in the tank reaching 2500g.
A 24 gallon tank is filled with pure water. Water which has a concentration of 6g...
A 24 gallon tank is filled with pure water. Water which has a concentration of 6g of salt per gallon flows into the tank at a rate of 2 gallons/min, and the mixture is stirred to a uniform concentration. Water also leaks from the tank at the same rate, 2 gallons/min. Find a differential equation describing the rate of change of salt in the tank. Hint: The concentration of salt in the tank is S(t)/24, where S(t) is the total...
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 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...
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 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 with a capacity of 1600 L is full of a mixture of water and...
A tank with a capacity of 1600 L is full of a mixture of water and chlorine with a concentration of 0.0125 g of chlorine per liter. In order to reduce the concentration of chlorine, fresh water is pumped into the tank at a rate of 16 L/s. The mixture is kept stirred and is pumped out at a rate of 40 L/s. Find the amount of chlorine in the tank as a function of time. (Let y be the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT