Alligation Calculator
Calculate how to mix two solutions of different strengths to obtain a solution of desired target concentration.
Calculation Parameters
Adjust the values below.
Calculated Result
Expert Tip
Ensure units are correctly formatted (e.g. Kelvin for gas temperatures and liters for volumes) to get chemically accurate outputs.
How this Calculator Works
This calculator allows you to solve Alligation problems dynamically. Adjust the input parameters using the sliders or selection menu below:
- High Strength (%) (Range: 1 to 100, Default: 70)
- Low Strength (%) (Range: 0 to 99, Default: 30)
- Target Strength (%) (Range: 1 to 100, Default: 50)
- Target Volume (mL) (Range: 10 to 5000, Default: 500)
The results are computed instantly and updated in the results panel on the right.
Formula & Methodology
Low Parts = High % - Target %
Total Parts = High Parts + Low Parts
High Volume = (High Parts / Total Parts) * Total Volume
Where:
- High Strength: Parameter value.
- Low Strength: Parameter value.
- Target Strength: Parameter value.
- Target Volume: Parameter value.
Step-by-Step Calculation Example
To calculate Alligation manually, follow these steps:
- Identify the input parameters. For example:
- High Strength (%) = 70
- Low Strength (%) = 30
- Target Strength (%) = 50
- Target Volume (mL) = 500
- Apply the formula:
High Parts = Target % - Low %
Low Parts = High % - Target %
Total Parts = High Parts + Low Parts
High Volume = (High Parts / Total Parts) * Total Volume - Verify the calculated value which is updated instantly in the results panel on the right.
Frequently Asked Questions
What is alligation in pharmacy and chemistry? ▼
Alligation is a practical mathematical method for calculating relative parts of two solutions of known strengths required to prepare a target intermediate concentration.
How do you calculate alligation parts? ▼
Parts of Higher Conc = Target % - Lower %; Parts of Lower Conc = Higher % - Target %.
Can alligation be used for solid mixtures? ▼
Yes, alligation applies to liquid solutions, ointments, powders, and alloy concentrations.