In Exercises consider a tank that at time t = 0 contains v 0 gallons of a
Question:
In Exercises consider a tank that at time t = 0 contains v0 gallons of a solution of which, by weight, q0 pounds is soluble concentrate. Another solution containing q1 pounds of the concentrate per gallon is running into the tank at the rate of r1, gallons per minute. The solution in the tank is kept well stirred and is withdrawn at the rate of r2 gallons per minute.
A 200-gallon tank is full of a solution containing 25 pounds of concentrate. Starting at time t = 0, distilled water is admitted to the tank at a rate of 10 gallons per minute, and the well-stirred solution is withdrawn at the same rate.
(a) Find the amount of concentrate Q in the solution as a function of t.
(b) Find the time at which the amount of concentrate in the tank reaches 15 pounds.
(c) Find the quantity of the concentrate in the solution as
t → ∞.
Step by Step Answer:
a b c dQ dt jde Q 12Q uo 1 t You have Q090 25 9 0 4...View the full answer
