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Alligation Method Calculator

Alligation Method Formula:

\[ \text{Ratio} = \frac{\text{High} - \text{Desired}}{\text{Desired} - \text{Low}} \]

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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 solutions of different concentrations must be mixed to obtain a desired intermediate concentration.

2. How Does the Calculator Work?

The calculator uses the Alligation formula:

\[ \text{Ratio} = \frac{\text{High} - \text{Desired}}{\text{Desired} - \text{Low}} \]

Where:

Explanation: The result shows the parts of the higher concentration solution needed per 1 part of the lower concentration solution to achieve the desired concentration.

3. Importance of Alligation Method

Details: This method is crucial in pharmacy, chemistry, and manufacturing for preparing solutions of precise concentrations by mixing existing stock solutions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for concentrations?
A: The calculator works with any consistent units (%, mg/mL, etc.), but both input concentrations must be in the same units.

Q2: Can I use this for more than two components?
A: This calculator is for binary mixtures. For more components, you would need to perform multiple alligation calculations.

Q3: What if my desired concentration equals one of the inputs?
A: If desired equals high, you don't need the low concentration solution (ratio approaches infinity). If desired equals low, you don't need the high concentration solution (ratio = 0).

Q4: How precise is this method?
A: The method is mathematically exact for ideal solutions where volumes are additive.

Q5: Can this be used for solid mixtures?
A: Yes, the method works for any mixture where the components are expressed in the same concentration units (e.g., % w/w for solids).

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