1. Math
  2. Calculus
  3. a 200 liter tank contains 10kg of salt dissolved in...

Question: a 200 liter tank contains 10kg of salt dissolved in...

Question details

A 200 liter tank contains 10kg of salt dissolved in 200 liters of water. A solution of water and salt (brine) with a concentration of 0.4 kilograms per liter is flowing in at a rate of 10 liters per minute. The solution in the tank is well stirred and flows out at a rate of 10 liters per minute. Let y(t) be the amount of salt (in kilograms) at time t (in minutes a) Sketch a diagram displaying the important information of this scenario. b) Determine the rate at which salt is entering and leaving the tank at a given time t. c) Hence set up a differential equation to model the scenario and subse- quently solve it for y(t) d) How much salt w be in the tank after a very long time?

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution