PAC Dosage Calculation: How to Determine the Optimal Dose for Your Water Treatment System

Determining the correct Polyaluminium Chloride (PAC) dosage is essential for achieving optimal coagulation performance while controlling chemical costs. Under-dosing leads to poor turbidity removal and inadequate treatment, while over-dosing wastes chemicals and can cause re-stabilization of particles. This guide provides a systematic approach to calculating and optimizing PAC dosage for any water treatment application.

Factors Affecting PAC Dosage

Before calculating dosage, it is important to understand the key water quality parameters that influence coagulant demand:

  • Raw Water Turbidity: Higher turbidity generally requires higher coagulant doses. Typical PAC dose ranges from 5 mg/L for low-turbidity water ( 100 NTU).
  • pH: PAC performs optimally between pH 6.0-8.0. Outside this range, higher doses may be required.
  • Temperature: Cold water (< 5°C) increases viscosity, requiring slightly higher doses or longer mixing times.
  • Organic Matter (TOC/DOC): Natural organic matter consumes coagulant. Waters with TOC > 5 mg/L may require 20-50% higher PAC doses.
  • Alkalinity: Low alkalinity (< 30 mg/L as CaCO₃) may limit coagulation effectiveness even at higher doses.
  • PAC Basicity: Higher basicity PAC products (70-85%) generally require lower doses than lower basicity products (40-55%).

Jar Testing: The Gold Standard for Dosage Determination

Jar testing is the most reliable method for determining optimal PAC dosage for your specific water source. Here is the step-by-step procedure:

Equipment Needed

  • 6-place jar test apparatus with variable speed control
  • 6 × 1-liter beakers (or 2-liter for high-turbidity samples)
  • PAC stock solution (typically 1% or 10 g/L)
  • pH meter, turbidimeter, thermometer
  • Graduated pipettes or syringes for accurate dosing

Procedure

  1. Fill each beaker with 1 liter of raw water sample.
  2. Measure and record initial turbidity, pH, temperature, and color.
  3. Calculate target PAC doses. A typical range covers 0, 5, 10, 20, 30, 50 mg/L as product.
  4. Add calculated volumes of PAC stock solution to each beaker. Formula: Volume (mL) = (Target Dose mg/L × 1 L) / Stock Concentration mg/mL
  5. Start rapid mix: 150-300 rpm for 1-2 minutes.
  6. Reduce to slow mix: 30-50 rpm for 10-15 minutes.
  7. Stop mixing and allow settling for 15-30 minutes.
  8. Carefully sample the supernatant from 2-3 cm below the surface.
  9. Measure residual turbidity, pH, and color of each sample.
  10. Plot dose vs. residual turbidity to identify the optimal dose.

Dosage Calculation Formulas

1. From Jar Test to Plant Dose

Once the optimal jar test dose is determined (in mg/L), the plant-scale dosing rate is calculated as:

PAC Feed Rate (kg/h) = Optimal Dose (mg/L) × Flow Rate (m³/h) / 1000

Example: For 30 mg/L PAC dose treating 500 m³/h flow:
Feed Rate = 30 × 500 / 1000 = 15 kg/h of PAC product

2. Liquid PAC Dosing Pump Setting

For liquid PAC (10% Al₂O₃, density ~1.2 g/mL):

Pump Flow (L/h) = [Plant Dose (kg/h) / Liquid Concentration (%)] × (100 / Density)

Example: 15 kg/h of 10% liquid PAC:
Pump Flow = (15 / 0.10) × (100 / 1.2) = 125 L/h

3. Powder PAC Solution Preparation

When preparing PAC solution from powder:

Powder Mass (kg) = Solution Volume (L) × Target Concentration (%) × Density

Typical PAC Dosage Ranges by Application

ApplicationTypical PAC Dose (mg/L)PAC Basicity Grade
Drinking Water (low turbidity < 10 NTU)5 – 15Medium-High (60-80%)
Drinking Water (moderate turbidity 10-50 NTU)10 – 30Medium (50-70%)
Drinking Water (high turbidity > 50 NTU)20 – 50Medium-High (60-80%)
Municipal Wastewater20 – 80Medium (50-65%)
Industrial Wastewater (general)30 – 100Medium-High (60-85%)
Textile Wastewater (color removal)50 – 200High (70-85%)
Paper Mill Effluent20 – 60Medium (50-65%)
Oil/Water Separation30 – 80High (70-85%)
Swimming Pool Water2 – 10Low-Medium (40-60%)
Lake/River Water Treatment10 – 40Medium (50-70%)

Optimization Tips

  • Start Low, Increase Gradually: Begin at 10 mg/L and increase in 5 mg/L increments during jar testing to find the precise optimal dose.
  • Monitor Streaming Current: Online streaming current detectors (SCD) provide real-time coagulation optimization and can reduce PAC consumption by 10-20%.
  • Seasonal Adjustment: Raw water quality changes seasonally. Perform jar tests quarterly and after significant rain events.
  • Consider PAC Basicity: Higher basicity PAC may allow 15-25% dose reduction. Test different basicity grades during initial optimization.
  • Combine with Polyelectrolyte: Adding 0.1-0.5 mg/L of anionic polyacrylamide after PAC can improve floc strength and reduce PAC dose by 10-30%.

Common Dosing Problems and Solutions

ProblemLikely CauseSolution
High residual turbidityUnder-dosingIncrease dose; verify PAC product quality
Pin floc (very small, weak floc)Over-dosingReduce dose; check mixing intensity
Carryover of floc to filtersOver-dosing or poor mixingOptimize dose and mixing energy
pH drop below 6.0Over-dosing or low-alkalinity waterAdd alkalinity; use higher-basicity PAC
Variable effluent qualityInconsistent dosingCalibrate dosing pump; automate with SCD

Need help optimizing your PAC dosage? Contact HydroChemix for free technical support, jar testing guidance, and factory-direct PAC samples tailored to your water quality parameters.

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