Qwestrum Engineering360 · Environmental Engineering · Water Quality Engineering
BOD COD and TOC
BOD, COD, and TOC are complementary indicators for quantifying organic pollution and treatment performance. Each metric captures a different fraction or behavior of organic matter.
Exam tip: keep SI units consistent end-to-end, write the governing relation symbolically before substituting, and sanity-check magnitude and sign.
Key formulas & points
Skim these first — then read the full notes below.
- COD > BOD always; non-biodegradable fraction
- BOD₅ ~0.6–0.7 BOD_u for domestic sewage
- TOC correlates organic pollution load
Topic details
Introduction
No single parameter fully describes organic load behavior in water and wastewater systems. Metcalf & Eddy and Rao & Rao both advocate interpreting BOD, COD, and TOC together for process design and compliance assessment.
Scope in B.Tech and GATE syllabus
In B.Tech exams, students are expected to compare these metrics conceptually and compute derived values such as ultimate BOD estimates. The topic is foundational for understanding biodegradability and reactor loading.
Key relations & formulas
Formulas (Indian textbook notation)
Formulas (Indian textbook notation)
Formulas (Indian textbook notation)
Notation and sign conventions
Relation 1 —
Formulas (Indian textbook notation)
Write this relation with symbols exactly as in Peavy Environmental Engineering — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Formulas (Indian textbook notation)
Write this relation with symbols exactly as in Peavy Environmental Engineering — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
Formulas (Indian textbook notation)
Write this relation with symbols exactly as in Peavy Environmental Engineering — Standard reference before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Fundamentals and definitions
BOD measures biologically oxidizable organics and reflects microbial oxygen demand over incubation time. It is directly relevant to receiving-water oxygen depletion and secondary treatment design.
Governing relations in practice
COD measures chemically oxidizable matter, including fractions not easily biodegradable, making it faster but broader than BOD. The COD-BOD gap provides insight into refractory or toxic organics.
Design and analysis considerations
TOC quantifies carbon directly and is useful for rapid monitoring and process control where oxygen-demand tests are slower. Correlations among TOC, COD, and BOD are site-specific and should be calibrated with local data rather than assumed universal.
Assumptions and validity limits
State assumptions explicitly before using any relation for bod cod and toc — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Water Quality viva and GATE descriptive questions, listing valid assumptions often earns separate marks.
Step-by-step problem approach
1. Read the question and list given data with SI units (common in Water Quality papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to bod cod and toc.
4. Use equation 1:
5. Use equation 2:
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to bod cod and toc.
4. Use equation 1:
.
5. Use equation 2:
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.
Applications & exam relevance
BOD COD and TOC appears in environmental compliance. In Indian environmental curricula this topic is tested because it connects theory to monitoring and standards.
GATE and semester exams often combine bod cod and toc with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use bod cod and toc?" — answer with a lab, mini-project, or plant visit example if possible.
Common mistakes in exams
• Stating BOD is always numerically higher than COD
• Using fixed BOD₅/BOD_u ratio without context of wastewater type
• Treating TOC units interchangeably with oxygen-demand units
• Confusing ThOD definition with measured COD
• Using fixed BOD₅/BOD_u ratio without context of wastewater type
• Treating TOC units interchangeably with oxygen-demand units
• Confusing ThOD definition with measured COD
Quick revision checklist
Before attempting bod cod and toc problems, confirm you can:
1. COD > BOD always; non-biodegradable fraction
2. BOD₅ ~0.6–0.7 BOD_u for domestic sewage
3. TOC correlates organic pollution load
2. BOD₅ ~0.6–0.7 BOD_u for domestic sewage
3. TOC correlates organic pollution load
Revise the solved examples in Peavy Environmental Engineering — Standard reference and one previous-year GATE or university paper for this unit.
Worked examples
Try the problem first — open the solution when you are ready to check.
For domestic sewage with BOD₅
Problem
For domestic sewage with BOD₅ = 210 mg/L and BOD₅/BOD_u = 0.68, ultimate BOD BOD_u = 210/0.68 ≈ 309 mg/L.
Solution
For domestic sewage with BOD₅ = 210 mg/L and BOD₅/BOD_u = 0.68, ultimate BOD BOD_u = 210/0.68 ≈ 309 mg/L.
Conceptual check — BOD COD and TOC
Problem
In a Water Quality semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of bod cod and toc." What should a complete answer include?
📖 Standard books (India)
Peavy Environmental Engineering — Standard reference
Read: Syllabus unit
Referenced in Indian B.Tech syllabus
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