A 100-gallon tank is full of a solution containing 25 pounds of concentrate. Starting at time $t = 0$, distilled water is added to the tank at a rate of 10 gallons per minute, and the well-stirred solution is withdrawn at the same rate. Find the quantity of the concentrate in the solution as $t \rightarrow \infty$.
A) 10
B) 26
C) 25
D) 0
E) 1

Question

Quizplus · Accepted Answer

As distilled water is added at the same rate as the solution is withdrawn, the concentration of the solution remains constant. Therefore, the quantity of concentrate in the solution as $t\rightarrow\infty$ will still be 25 pounds. Thus, the best choice is D: 0.

A 100-Gallon Tank Is Full of a Solution Containing 25 t=0t = 0t=0

A 100-Gallon Tank Is Full of a Solution Containing 25 $t = 0$