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Alligation Calculator

Alligation Method:

\[ \frac{C_{high} - C_{desired}}{C_{desired} - C_{low}} = \frac{ratio_{low}}{ratio_{high}} \]

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1. What is the Alligation Method?

The alligation method is a mathematical technique used to calculate the ratio in which two or more ingredients with different concentrations must be mixed to obtain a desired intermediate concentration.

2. How Does the Calculator Work?

The calculator uses the alligation equation:

\[ \frac{C_{high} - C_{desired}}{C_{desired} - C_{low}} = \frac{ratio_{low}}{ratio_{high}} \]

Where:

Explanation: The method calculates the proportional parts of each component needed to achieve the desired concentration.

3. Importance of Alligation

Details: Alligation is crucial in pharmacy, chemistry, and manufacturing for preparing solutions of specific concentrations from stock solutions with different strengths.

4. Using the Calculator

Tips: Enter concentrations as percentages. The desired concentration must be between the high and low concentrations. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is alligation alternate vs. alligation medial?
A: Alligation alternate calculates the ratio to mix two strengths to get an intermediate strength (this calculator). Alligation medial calculates the strength of a mixture made from known quantities of different strengths.

Q2: Can this be used for more than two components?
A: This calculator handles two components. For more components, repeated applications or more complex methods are needed.

Q3: What units should I use?
A: The units must be consistent (all % or all mg/mL, etc.). The calculator assumes percentages.

Q4: Does this work for solid mixtures?
A: Yes, as long as the concentrations are expressed appropriately (e.g., mg/g, % w/w, etc.).

Q5: What if my desired concentration equals one of my stock concentrations?
A: Then you don't need to mix - just use 100% of that stock solution.

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