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Alligation Method Calculator Formula

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 how many parts of the lower concentration solution should be mixed with one part of the higher concentration solution.

3. Importance of Alligation Method

Details: This method is crucial in pharmacy, chemistry, and manufacturing for preparing solutions of specific concentrations from stock solutions.

4. Using the Calculator

Tips: Enter all concentrations in percentage (%). Ensure the high concentration is greater than the desired concentration, which must be greater than the low concentration.

5. Frequently Asked Questions (FAQ)

Q1: What if my desired concentration equals one of the input concentrations?
A: The ratio will be either 0 (if equal to high) or undefined (if equal to low), meaning you should use pure solution.

Q2: Can this be used for non-percentage concentrations?
A: Yes, as long as all concentrations use the same units (mg/mL, molarity, etc.).

Q3: How do I interpret the ratio result?
A: For example, a ratio of 2 means mix 2 parts of the low concentration with 1 part of the high concentration.

Q4: What's the difference between alligation and dilution?
A: Alligation mixes two different concentrations, while dilution uses one concentration and a diluent (zero concentration).

Q5: Can this method be used for more than two solutions?
A: Yes, through repeated applications of the method for multiple solution mixtures.

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