A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt per liter enters a tank at the rate 5 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 = 0.045 (kg/L) b.) Find the amount of salt in the tank after 2.5 hours. amount = 75.9280 (kg) c.) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = (kg/L)
Added by Michael J.
Close
Step 1
We know that the concentration of salt in the tank initially is 90 kg of salt in 2000 L of water. So, the initial concentration is: Initial concentration = (90 kg) / (2000 L) Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 54 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A tank contains 90 kg of salt and 2000 L of water. A solution with a concentration of 0.0225 kg of salt per liter enters the tank at a rate of 5 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of the solution in the tank initially? Concentration: 0.045 kg/L (b) Find the amount of salt in the tank after 1 hours. Amount: 85.12930 kg (c) Find the concentration of salt in the solution in the tank as time approaches infinity. Concentration: 0.045 kg/L
Sri K.
A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 9 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 = .025 (kg/L) b.) Find the amount of salt in the tank after 4.5 hours. amount = (kg) c.) Find the concentration of salt in the solution in the tank as time approaches infinity. concentration = .0125 (kg/L)
Eduard S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD