Alligation Ratio Formula:
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Alligation is a method to calculate the ratio in which two or more ingredients with different concentrations must be mixed to produce a desired concentration. It's commonly used in pharmacy, chemistry, and manufacturing.
The calculator uses the alligation ratio formula:
Where:
Explanation: The formula calculates the relative amounts needed of the higher and lower concentration ingredients to achieve the desired concentration.
Details: Alligation is crucial for preparing solutions of precise concentrations, especially in pharmaceutical compounding, chemical preparations, and manufacturing processes.
Tips: Enter the high concentration, desired concentration, and low concentration values. All values must be positive numbers with high > desired > low.
Q1: What if my desired concentration equals the high or low concentration?
A: If desired equals high, you only need the high concentration ingredient (ratio 0:1). If desired equals low, you only need the low concentration ingredient (ratio 1:0).
Q2: Can this be used for more than two ingredients?
A: The basic alligation ratio is for two ingredients. For more complex mixtures, you would need to perform multiple alligation calculations.
Q3: What units should I use?
A: The units must be consistent (all percentages or all mg/mL, etc.), but the calculator works with any consistent unit of measurement.
Q4: What if I get a negative ratio?
A: Negative ratios indicate invalid input where desired concentration is outside the range between high and low concentrations.
Q5: How precise is this method?
A: The method is mathematically precise, but actual results depend on accurate measurement of ingredients in practice.