Chemical Oxygen Demand Calculator
Compute chemical oxygen demand using validated scientific equations. See step-by-step derivations, unit analysis, and reference values.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Chemical Oxygen Demand Calculator
Calculator
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Formula: COD = ((A - B) * N * 8000) / V * D
Worked example โ COD = 1450 mg/L
Formula
COD = ((A - B) * N * 8000) / V * D
Where A is blank titrant volume (mL), B is sample titrant volume (mL), N is normality of FAS, V is sample volume (mL), D is dilution factor, and 8000 converts milliequivalents to mg O2/L.
Worked Examples
Example 1: Municipal Wastewater COD
Problem:Blank titrant = 25.0 mL, Sample titrant = 10.5 mL, FAS normality = 0.25 N, Sample volume = 20 mL
Solution:COD = ((25.0 - 10.5) * 0.25 * 8000) / 20 COD = (14.5 * 0.25 * 8000) / 20 COD = 29000 / 20 = 1450 mg/L
Result:COD = 1450 mg/L
Example 2: Industrial Effluent with Dilution
Problem:Blank = 22.0 mL, Sample = 18.0 mL, FAS = 0.1 N, Volume = 10 mL, Dilution = 5x
Solution:COD = ((22.0 - 18.0) * 0.1 * 8000) / 10 * 5 COD = (4.0 * 0.1 * 8000) / 10 * 5 COD = 320 / 10 * 5 = 1600 mg/L
Result:COD = 1600 mg/L
Frequently Asked Questions
What is Chemical Oxygen Demand (COD)?
Chemical Oxygen Demand is a measurement of the amount of oxygen required to chemically oxidize organic and inorganic matter in a water sample using a strong oxidizing agent, typically potassium dichromate. COD is expressed in milligrams of oxygen per liter (mg/L) and is a key indicator of water pollution levels. Higher COD values indicate greater contamination, with typical domestic wastewater having COD values between 250-800 mg/L, while industrial effluents can exceed 10,000 mg/L.
How does the dichromate method work for COD measurement?
The dichromate method involves refluxing a water sample with a known excess of potassium dichromate (K2Cr2O7) in a sulfuric acid solution for two hours at 150 degrees Celsius. The dichromate oxidizes organic matter, and the remaining unreacted dichromate is then titrated with ferrous ammonium sulfate (FAS) using ferroin indicator. The difference between blank and sample titrant volumes, multiplied by the normality and the equivalent weight of oxygen (8), gives the COD. The factor 8000 converts milliequivalents to mg/L.
What is the difference between COD and BOD?
COD measures the total oxygen demand from both biodegradable and non-biodegradable organic matter through chemical oxidation, while BOD (Biochemical Oxygen Demand) measures only the oxygen consumed by microorganisms decomposing biodegradable organic matter over 5 days. COD values are always equal to or greater than BOD values for the same sample. The COD/BOD ratio indicates biodegradability: ratios below 2.5 suggest highly biodegradable waste suitable for biological treatment, while ratios above 4 indicate significant non-biodegradable content.
Why is the 8000 factor used in the COD formula?
The factor 8000 in the COD formula combines two conversions: the equivalent weight of oxygen (8 grams per equivalent) and the unit conversion from milliequivalents per milliliter to milligrams per liter (factor of 1000). Since 1 equivalent of dichromate reacts with 1 equivalent of oxygen, and oxygen has an equivalent weight of 8 (molecular weight 32 divided by valence change of 4), multiplying by 8000 directly gives the result in mg O2/L. This standardized factor simplifies the calculation and avoids separate conversion steps.
What is chemical equilibrium and Le Chatelier's principle?
Chemical equilibrium occurs when forward and reverse reaction rates are equal. Le Chatelier's principle states that a system at equilibrium will shift to counteract any change. Adding reactant shifts equilibrium toward products. Increasing temperature favors the endothermic direction.
References
Background & Theory
History
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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