Alligation Alternate Solution Mixing & Concentration Blending Calculator

Compound intermediate % concentrations using the pharmacy Alligation method.

Volume of High-Strength Stock Required
166.67 mL
Volume of Low-Strength / Diluent 333.33 mL
Alligation Parts of High Stock 20 parts
Alligation Parts of Low Stock 40 parts
Inputs
%
Higher strength stock concentration (%).
%
Lower strength stock concentration (0% for pure water/buffer).
%
Desired intermediate mixture concentration (%).
mL
Total volume of blended solution to prepare (mL).
Results & Graph
Volume of High-Strength Stock Required
166.67 mL
Volume of Low-Strength / Diluent
333.33 mL
Alligation Parts of High Stock
20 parts
Alligation Parts of Low Stock
40 parts

Volume of High-Strength Stock Required

Graph 1 • High Concentration Pct Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 mL 216 mL 432 mL 50%: 400 mL 400 50% 75%: 235.29 mL 235.3 75% 100%: 166.67 mL 166.7 100% 125%: 129.03 mL 129.0 125% 150%: 105.26 mL 105.3 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Volume of High-Strength Stock Required 166.67 mL Volume of Low-Strength / Diluent 333.33 mL Alligation Parts of High Stock 20 parts Alligation Parts of Low Stock 40 parts
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Volume of High-Strength Stock Required166.67 mLVolume of Low-Strength / Diluent333.33 mLAlligation Parts of High Stock20 partsAlligation Parts of Low Stock40 parts
Summary: To prepare 500 mL of 30% solution from 70% and 10% stocks (20 : 40 parts), blend 166.67 mL of 70% stock with 333.33 mL of 10% diluent.
Summary: To prepare 500 mL of 30% solution from 70% and 10% stocks (20 : 40 parts), blend 166.67 mL of 70% stock with 333.33 mL of 10% diluent.
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Formula & Mathematical Methodology: Alligation Blending Reference Equation

PartsHigh = Target% − Low%
PartsLow = High% − Target%
Vhigh = Vtotal × PartsHigh / (High% − Low%)
PartsHigh = Target% − Low%; PartsLow = High% − Target%; V_high = V_total × PartsHigh / (High% − Low%)
  • highConcentrationPct: High Concentration Pct (%)
  • lowConcentrationPct: Low Concentration Pct (%)
  • targetConcentrationPct: Target Concentration Pct (%)
  • finalTotalVolumeMl: Final Total Volume Ml (mL)

Rounding: Laboratory and clinical equations retain full floating-point precision and round displayed results to 2 decimal places.

Worked Example: Reference Calculation: Alligation Blending

Compound intermediate % concentrations using the pharmacy Alligation method.

  1. Enter the reagent concentrations, assay readings, or clinical laboratory parameters.
  2. Compute the standard formula: PartsHigh = Target% − Low%; PartsLow = High% − Target%; V_high = V_total × PartsHigh / (High% − Low%).
  3. Review the primary result, supporting reference intervals, and 3 SVG visualizations.
Result: Evaluates Alligation Blending via PartsHigh = Target% − Low%; PartsLow = High% − Target%; V_high = V_total × PartsHigh / (High% − Low%).

Frequently Asked Questions

What formula is used by the Alligation Alternate Solution Mixing & Concentration Blending Calculator?

It computes PartsHigh = Target% − Low%; PartsLow = High% − Target%; V_high = V_total × PartsHigh / (High% − Low%) and plots three custom SVG graphs showing parameter sensitivity and component breakdowns.

Can I compare different reagent dilutions or lab scenarios side by side?

Yes. Use the "Compare (0/3)" button to pin up to 3 scenarios side by side.

Are entered values stored on any server?

No. Every calculation runs 100% locally in your browser.

Science & Engineering · Analytical Chemistry & Lab Bench

Alligation Alternate Solution Mixing & Concentration Blending Calculator: inputs, method, and how to read the result

Compound intermediate % concentrations using the pharmacy Alligation method.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • High Concentration Pct: Higher strength stock concentration (%).
  • Low Concentration Pct: Lower strength stock concentration (0% for pure water/buffer).
  • Target Concentration Pct: Desired intermediate mixture concentration (%).
  • Final Total Volume Ml: Total volume of blended solution to prepare (mL).

What the calculation includes

With the default values shown, Volume of High-Strength Stock Required is 166.67 mL. The calculation follows Alligation Blending Reference Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing High Concentration Pct from 70 % to 77 % changes Volume of High-Strength Stock Required from 166.67 mL to 149.25 mL. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard IUPAC atomic weights, 25°C (298.15 K) reference thermodynamics, and published clinical literature equations.
  • Educational and laboratory reference tool only; clinical scoring calculators do not replace professional medical judgment or institutional protocols.

Scope: IUPAC / NIH Laboratory & Clinical Reference Standard Check the assumptions and limitations against your situation before relying on the estimate.

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