Chapter 3, Problem 78E

Bacterial digestion is an economical method of sewagetreatment. The reaction
$\begin{array}{l}{\text{5CO}}_2\left(g\right)+55{\text{NH}}_4{}^{+}\left(aq\right)+76{\text{O}}_2\left(g\right)\stackrel{\text{Bacteria}}{\to }\\ {\text{C}}_{\text{5}}{\text{H}}_7{\text{O}}_{\text{2}}\text{N}\left(s\right)+54{\text{NO}}_2{}^{-}\left(aq\right)+52{\text{H}}_{\text{2}}\text{O}\left(l\right)+109{\text{H}}^{\text{+}}\left(aq\right)\\ \text{Bacterial tissue}\end{array}$
is an intermediate step in the conversion of the nitrogenin organic compounds into nitrate ions. How muchbacterial tissue is produced in a treatment plant for every $\text{1}{\text{.0×10}}^{\text{4}}\text{kg}$ of wastewater containing 3.0% ${\text{ NH}}_{\text{4}}{}^{\text{+}}$ ions by mass? Assume that 95% of the ammonium ionsare consumed by the bacteria.