In a well-mixed tank containing a liquid of constant volume liters

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

In a well-mixed tank containing a liquid of constant volume

V

liters, let

Q(t)

grams denote the amount of dissolved salt at time

t

minutes. The differential equation for

Q

includes the term

\dfrac{Q(t)}{V}\,r_{\text{out}}

, where

r_{\text{out}}

is the outflow rate in liters per minute. Identify the physical quantity represented by this term.