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Free · Metcalf & Eddy · Aerobic Biological Treatment

Nutrient Balance C:N:P Calculator

Check if your wastewater has sufficient nitrogen and phosphorus for biological treatment. Calculate C:N:P ratios, identify nutrient deficiencies, and determine the correct urea or DAP supplement dose — based on the Metcalf & Eddy 100:5:1 BOD:N:P requirement for aerobic biological treatment.

Wastewater Parameters

Enter influent concentrations and flow. Defaults show a typical industrial wastewater.

Actual C:N Ratio (COD basis)

20.0 : 1

Ideal aerobic: <20–30 : 1 (N-sufficient)

Actual C:P Ratio (COD basis)

133.3 : 1

Ideal aerobic: <100–150 : 1 (P-sufficient)

BOD:N:P Actual Ratio

100 : 10.0 : 1.5

Required: 100 : 5 : 1 (M&E guideline)

Nitrogen (N) Status

Sufficient

Surplus: 20.0 mg/L above minimum

Phosphorus (P) Status

Sufficient

Surplus: 2.00 mg/L above minimum

Daily BOD Load

80.0 kg/day

COD load: 160.0 kg/day

Actual vs Required Nutrients (% of BOD₅)

Bars show actual nutrient concentration as % of BOD₅ versus the M&E minimum required (N: 5%, P: 1%).

Daily Nutrient Mass Loads

ParameterActual (kg/day)Min Required (kg/day)Status
BOD₅80.0Reference
Nitrogen (TKN)8.004.00Sufficient
Phosphorus (TP)1.200.80Sufficient

How to Use This Calculator

  1. 1Enter the influent COD and BOD₅ from your wastewater characterisation report or lab analysis. These define the organic load and are the basis for calculating minimum nutrient requirements.
  2. 2Enter the Total Kjeldahl Nitrogen (TKN) in mg N/L and Total Phosphorus (TP) in mg P/L from your laboratory results. If TKN is not available, use ammonia nitrogen as a conservative estimate.
  3. 3Enter the wastewater flow rate in m³/day. This is used to calculate the daily mass loads (kg/day) of each parameter and the required supplement dosage.
  4. 4Review the nutrient status cards. A green "Sufficient" result means nutrients are adequate for biological treatment at the current concentrations. A red "Deficient" result shows the required supplement dose in kg/day.
  5. 5If the amber deficiency banner appears, plan to add urea (for nitrogen) or DAP (for phosphorus) upstream of the biological treatment stage — typically dosed into the equalization tank or influent line for thorough mixing.

Why Nutrient Balance Matters in Biological Treatment

Biological wastewater treatment relies on living microorganisms — primarily heterotrophic bacteria — to break down dissolved organic matter (BOD and COD) in the wastewater. Like any living organism, these bacteria require not just a carbon source (the organic matter) but also macronutrients: nitrogen (N) for amino acid and protein synthesis, and phosphorus (P) for ATP energy transfer and nucleic acid formation. When the wastewater is deficient in either nutrient relative to its organic load, microbial growth is limited, biological efficiency drops, and the treatment process becomes unreliable.

In practice, nutrient deficiency manifests as incomplete BOD removal, foaming in aeration tanks, filamentous sludge bulking with poor settleability, and high effluent TSS — all of which cause CPCB consent violations. Identifying and correcting nutrient deficiency before commissioning a biological treatment plant is essential. Our MBBR (Moving Bed Biofilm Reactor) systems, activated sludge plants, and SBRs all require adequate nutrient balance for stable long-term operation. This calculator provides the first check in the nutrient assessment process.

It is important to note that nutrient requirements vary with sludge retention time (SRT) and temperature. At longer SRTs, a larger fraction of the cell mass is recycled through endogenous decay, reducing the net nutrient consumption per unit of BOD removed. The 100:5:1 ratio represents a conservative guideline applicable to aerobic activated sludge systems operating at typical SRTs of 5–15 days. For very long SRT processes (extended aeration, SRT > 20 days), actual nutrient demand is somewhat lower.

The 100:5:1 Rule — BOD:N:P for Aerobic Systems

The 100:5:1 BOD:N:P ratio is the most widely cited guideline for aerobic biological treatment, derived from the elemental composition of microbial cell mass and typical observed net cell yields. It appears in Metcalf & Eddy Wastewater Engineering (5th edition, Ch. 7 and 8) as well as in WEF, ASCE, and CPHEEO manuals. The ratio means:

  • For every 100 mg/L BOD₅, at least 5 mg/L nitrogen (TKN) must be present
  • For every 100 mg/L BOD₅, at least 1 mg/L phosphorus (TP) must be present
  • The required N = BOD₅ ÷ 20; required P = BOD₅ ÷ 100

These are minimum values — not targets. Wastewater with ratios close to 100:5:1 may still experience occasional deficiency during peak loading or seasonal variation, so a safety margin of 10–20% above the calculated minimum is recommended in practice.

# Metcalf & Eddy Nutrient Requirement Formulas

Required N (mg/L) = BOD₅ / 20

Required P (mg/L) = BOD₅ / 100

N deficit (mg/L) = Required N − TKN_actual [if > 0]

P deficit (mg/L) = Required P − TP_actual [if > 0]

N supplement (kg/day) = N deficit × Flow (m³/d) / 1000

Urea dose (kg/day) = N supplement / 0.46 [urea = 46% N]

P supplement (kg/day) = P deficit × Flow (m³/d) / 1000

DAP dose (kg/day) = P supplement / 0.18 [DAP = 18% P]

Nutrient-Deficient Industries: Textile, Sugar & Distillery

A wide range of food, beverage, and FMCG industries generate wastewater that is organically rich but nutrient-poor. The most common examples include:

  • Distilleries and breweries: Spent wash from molasses-based distilleries has BOD₅ of 45,000–60,000 mg/L with TKN often below 800 mg/L — a BOD:N ratio exceeding 60:1, which is N-deficient relative to the 20:1 threshold.
  • Sugar mills: Process water and floor washings have high BOD from molasses with negligible phosphorus — TP/BOD ratios can be as low as 0.2:100, requiring significant DAP addition.
  • Textile and dyeing: COD from synthetic dyes, sizing agents, and surfactants is very high (2,000–6,000 mg/L) with TKN typically below 20 mg/L. The COD:N ratio often exceeds 100–200:1, making biological pre-treatment difficult without nutrient addition.
  • Paper and pulp mills: Pulping effluents have high COD from lignin and cellulose breakdown products but low nutrient content, requiring both N and P supplementation before biological treatment.

Before designing a biological treatment system for any of these industries, perform a full wastewater characterisation including TKN, TP, BOD₅, COD, and flow to confirm nutrient adequacy. This calculator provides a rapid first-pass screening using typical influent data.

Nutrient Supplementation: Urea, DAP, and Ammonium Salts

When wastewater is confirmed to be nutrient-deficient, chemical supplementation is required before the biological treatment stage. The choice of chemical depends on the degree of deficiency, cost, and ease of handling:

  • Urea (CO(NH₂)₂, 46% N): The most cost-effective nitrogen source for wastewater treatment. Readily soluble in water, non-corrosive, and rapidly hydrolysed by microbial urease to ammonium. Typically dissolved and dosed as a 20–30% solution upstream of the equalization tank. Urea is the first choice when only nitrogen is deficient.
  • Diammonium Phosphate (DAP, 18% P, 21% N): Used when both P and N need supplementation, or when P alone is deficient. DAP provides both nutrients in a single chemical, simplifying dosing infrastructure. Moderately soluble (about 70 g/100 mL water at 20°C). Preferred for industries requiring both N and P supplement.
  • Ammonium sulfate ((NH₄)₂SO₄, 21% N): An alternative nitrogen source where urea is not preferred. Slightly less cost-effective per kg N but useful where sulfate addition is not a concern.
  • Orthophosphoric acid (H₃PO₄, 32% P): Used where precise phosphorus addition is required and pH reduction is acceptable or desired. Suitable for controlled dosing in continuous-flow plants with accurate metering pumps.

Chemical dosing systems for nutrient addition should include a day tank, agitator (for solid chemicals), calibrated metering pump, and a flow-proportional dosing signal from the plant influent flowmeter to maintain the correct dose as flow varies. Contact our engineering team at bd@spans.co.in or +91-98100 00233 for system design.

Frequently Asked Questions

What is the C:N:P ratio required for biological wastewater treatment?

For aerobic biological treatment, Metcalf & Eddy recommends a minimum BOD:N:P ratio of 100:5:1. For every 100 mg/L of BOD₅, the wastewater needs at least 5 mg/L TKN and 1 mg/L TP. These nutrients are essential for microbial cell synthesis — nitrogen makes up about 12% of dry cell mass. Insufficient nutrients lead to reduced microbial growth, poor sludge settling, and incomplete BOD/COD removal.

What happens if nitrogen or phosphorus is deficient in wastewater?

Nutrient deficiency causes filamentous bulking, poor sludge settleability, high effluent TSS, incomplete BOD removal, and foaming in aeration tanks. Nitrogen deficiency is particularly common in textile, distillery, and sugar wastewater and must be corrected before commissioning a biological treatment plant.

How do I calculate the nutrient requirement from BOD?

Minimum N (mg/L) = BOD₅ / 20; Minimum P (mg/L) = BOD₅ / 100. If TKN is below this threshold, the N supplement (kg/day) = deficit × flow / 1000. Urea dose = N supplement / 0.46. If TP is below threshold, DAP dose = P supplement / 0.18.

Which industries commonly have nutrient-deficient wastewater?

Distilleries, breweries, sugar mills, textile dyeing plants, pulp and paper mills, and starch processing units commonly generate wastewater with high BOD but insufficient nitrogen and phosphorus relative to the 100:5:1 guideline.

What chemicals are used to supplement nitrogen and phosphorus?

For nitrogen: urea (46% N) is the most common and cost-effective choice. Ammonium sulfate (21% N) is an alternative. For phosphorus: DAP (diammonium phosphate, 18% P) is widely used and also provides nitrogen. Orthophosphoric acid (32% P) is used for precise P-only dosing.

What is TKN and how is it different from ammonia nitrogen?

TKN (Total Kjeldahl Nitrogen) is the sum of organic nitrogen and free ammonia/ammonium nitrogen. It does not include nitrate or nitrite. Ammonia nitrogen is a subset of TKN. For nutrient requirements, TKN is the correct parameter to use because both organic nitrogen and ammonia are bioavailable for microbial assimilation.

Can excess phosphorus cause problems in biological treatment?

Yes — excess phosphorus in effluent causes eutrophication of receiving water bodies. CPCB limits effluent TP to 5 mg/L for inland surface water discharge. Municipal wastewater often has excess phosphorus requiring biological phosphorus removal (EBPR) or chemical precipitation with alum or ferric chloride.

Get Expert Help with Your Biological Treatment Design

Spans Envirotech designs complete biological wastewater treatment systems — including nutrient balance assessments, chemical dosing systems, and ETP/STP EPC projects across India. Contact our process engineering team for a detailed nutrient audit and treatment design.

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