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.

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)

  • ThODtheoreticaloxygendemandcompleteoxidationThOD theoretical oxygen demand complete oxidation

Formulas (Indian textbook notation)

  • BODuultimateBODapproachesThODBOD_{u} ultimate BOD approaches ThOD

Formulas (Indian textbook notation)

  • TOCtotalorganiccarbonanalyserTOC total organic carbon analyser

Notation and sign conventions

Relation 1 —
ThODtheoreticaloxygendemandcompleteoxidationThOD theoretical oxygen demand complete oxidation

Formulas (Indian textbook notation)

  • ThODtheoreticaloxygendemandcompleteoxidationThOD theoretical oxygen demand complete oxidation
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 —
BODuultimateBODapproachesThODBOD_{u} ultimate BOD approaches ThOD

Formulas (Indian textbook notation)

  • BODuultimateBODapproachesThODBOD_{u} ultimate BOD approaches ThOD
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 —
TOCtotalorganiccarbonanalyserTOC total organic carbon analyser

Formulas (Indian textbook notation)

  • TOCtotalorganiccarbonanalyserTOC total organic carbon analyser
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:
ThODtheoreticaloxygendemandcompleteoxidationThOD theoretical oxygen demand complete oxidation
.
5. Use equation 2:
BODuultimateBODapproachesThODBOD_{u} ultimate BOD approaches ThOD
.
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

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
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 EngineeringStandard reference

    Read: Syllabus unit

    Referenced in Indian B.Tech syllabus