A 200-liter tank contains 40 kg of a contaminant at

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

t=0

. Pure water flows in at 10 L/min, and the well-mixed solution is pumped out at 5 L/min. Derive an expression for

\dfrac{dQ}{dt}

(in kg/min) in terms of

Q

and

t

, where

Q(t)

is the amount of contaminant in the tank.