Wastewater characterization is essential for designing secondary biological treatment systems and predicting the impact of effluent discharge on receiving water bodies. Sewage contains a complex mixture of organic matter (carbohydrates, proteins, fats) and inorganic salts, characterized through physical, chemical, and biological parameters. The organic strength of wastewater is primarily quantified using Biochemical Oxygen Demand (BOD) , which measures the amount of dissolved oxygen required by aerobic microorganisms to biologically stabilize biodegradable organic matter at a specified temperature (typically $20^\circ\text{C}$). The first-stage carbonaceous BOD kinetics follow a first-order reaction equation: $$\frac{dL_t}{dt} = -K \cdot L_t$$ Integrating over time $t$ yields the remaining carbonaceous organic matter ($L_t$) and the oxygen exerted ($BOD_t$): $$L_t = L_0 \cdot e^{-K \cdot t} = L_0 \cdot 10^{-K_D \cdot t}$$ $$BOD_t = L_0 - L_t = L_0 \cdot \left(1 - 10^{-K_D ...