Question

A Tank contains 100g of salt and 500L of water. Water that contains (5/2)g of salt...

A Tank contains 100g of salt and 500L of water. Water that contains (5/2)g of salt per liter enters the tank at a rate of 2 (L/min). The solution is mixed and drains from the tank at a rate of 3 (L/min). Let y be the number of g of salt in the tank after t minutes. a). What is the differential equation for this scenario? and b). what is the particular solution given y(0) = 100

Homework Answers

Answer #1

please rate!! any doubts please ask thank you !:))

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 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? y=
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...
A tank contains 20 kg of salt dissolve in 5000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 5000 L of water. Brine that contain 0.03 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt remains in the tank after 13 minutes? (Keep three decimal places.)
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) What is the amount of salt in the tank initially? (b) Find the amount of salt in the tank after 4.5 hours.
A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with...
A 1000-liter (L) tank contains 500L of water with a salt concentration of 10g/L. Water with a salt concentration of 50g/L flows into the tank at a rate of R(in)=80L/minutes (min). The fluid mixes instantaneously and is pumped out at a specified rate R(out)=40L/min. Let y(t) denote the quantity of salt in the tank at time t. Set up and solve the differential equation for y(t).
A tank contains 1000 L of brine (saltwater) with 15 kg of dissolved salt. Pure water...
A tank contains 1000 L of brine (saltwater) with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes?
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min. Find the amount of salt in the tank after 2 hours. What is the concentration of salt in the solution in the tank as time approaches infinity?
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per...
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per liter enters the tank at the rate 4 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (b) Find the amount of sugar after t minutes. y(t)=
1) A tank contains 10 kg of salt and 2000 L of water. A solution of...
1) A tank contains 10 kg of salt and 2000 L of water. A solution of concentration 0.025 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. a) What is the concentration of our solution in the tank initially? concentration = ___ (kg/L) b) Find the amount of salt in the tank after 1.5 hours. amount = ____ (kg) c) Find the concentration...
A tank contains 90 kg of salt and 2000 L of water: Pure water enters a...
A tank contains 90 kg of salt and 2000 L of water: Pure water enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the rate 8 L/min. What is the amount of salt in the tank initially? Find the amount f salt in the tank after 4.5 hours. Find the concentration of salt in the solution in the tank as the time approaches infinity. (Assume your tank is large enough to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT