Chapter 24, Problem 27P

To determine

To calculate: The average concentration of a substance in a lake that varies with depth $\overline{c}$ as shown in equation below.

$\overline{c}=\frac{{\displaystyle {\int }_0^{z}c\left(z\right)A_s\left(z\right)dz}}{{\displaystyle {\int }_0^z{A}_s\left(z\right)dz}}$

Here, $z$ is the total depth in metres.