Problem 2. Volatilization of a Chemical from a River
The lecture slides contain an example of volatilization loss of a chemical from a river after
discharge of the chemical from the wastewater treatment plant of a chemical factory.
a. Verify the derivation starting from the mass/mole balance equation; $[\left(v_w C_{A,W(in)}\right)|_x - \left(v_w C_{A,W(out)}\right)_{x+\Delta x}](\Delta y \Delta z) - K_{A,W} C_{A,W(out)} (\Delta x \Delta y) = 0$ and show that the solution for the
change in chemical concentration with distance (x) down river, using the same boundary
condition as in the lecture slides, is
$\frac{C_{A,W}}{C_{A,W(0)}} = exp\left(-\frac{a_v K_{A,W}}{v_w} x\right)$
