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Biochemical Oxygen Demand

Oxygen consumed by microbes decomposing organic matter.

Formula

BOD=D1−D2PBOD = \frac{D_1 - D_2}{P}

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Variables

D_1Initial DO
D_2Final DO
PDilution fraction

How it works

Biochemical Oxygen Demand (BOD) measures how much dissolved oxygen microorganisms use while breaking down biodegradable organic matter in a water sample. The formula compares the dissolved oxygen before incubation (D1) and after incubation (D2), then divides by the fraction of the original sample present (P) to correct for dilution; this gives the oxygen demand of the undiluted water. A larger drop in dissolved oxygen means more microbial activity and therefore more organic pollution.

When to use it

Use this when assessing the organic pollution load of wastewater, river water, or effluent samples in environmental monitoring. It is especially useful in treatment plant testing and water-quality studies where you need a standardized measure of how much biodegradable material is present.

Worked example, step by step

A wastewater sample is diluted so that the original sample makes up 10% of the bottle (P = 0.10). Initial dissolved oxygen after setup: D1 = 8.6 mg/L Final dissolved oxygen after incubation: D2 = 2.1 mg/L BOD = (D1 - D2) / P BOD = (8.6 - 2.1) / 0.10 BOD = 6.5 / 0.10 BOD = 65 mg/L Final answer: the biochemical oxygen demand of the sample is 65 mg/L.

Common mistakes to avoid

  • Forgetting to use the dilution fraction P, which underestimates BOD for diluted samples
  • Reversing D1 and D2, which produces a negative value instead of oxygen consumption
  • Using total dilution volume instead of the sample fraction actually present in the bottle

Did You Know?

Biochemical oxygen demand gauges water pollution by how much oxygen microbes need to digest the waste.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026