Enter the concentrations and volumes of the first and second solutions into the calculator to determine the concentration of the resulting mixture.
Alligation Formula
The following formula is used to calculate the Alligation calculation:
C1 * V1 + C2 * V2 = C * V
Variables:
- C1 is the concentration of the first solution
- V1 is the volume of the first solution
- C2 is the concentration of the second solution
- V2 is the volume of the second solution
- C is the concentration of the resulting mixture
- V is the volume of the resulting mixture
To calculate the Alligation calculation, multiply the concentration of the first solution by its volume, then multiply the concentration of the second solution by its volume. Add these two results together to get the total concentration of the resulting mixture. Divide this total concentration by the volume of the resulting mixture to get the final concentration.
What is a Alligation?
Alligation is a mathematical method used to solve problems related to mixtures and their ingredients. It is a rule that allows one to find the ratio in which two or more ingredients at given prices must be mixed to produce a mixture of a desired price. The method involves the use of a simple diagram known as an alligation chart, where the prices of the cheaper and dearer ingredients are written in the left and right columns, respectively, and the mean price in the middle column. The differences between the mean price and the prices of the ingredients are then calculated and written in the opposite columns. These differences represent the required ratio of the ingredients. Alligation is commonly used in pharmacy to calculate the amount of different substances required to make a particular medicine.
How to Calculate Alligation?
The following steps outline how to calculate the Alligation.
- First, determine the quantities or concentrations of the two solutions being mixed.
- Next, assign a variable to each quantity or concentration. Let’s call them A and B.
- Next, determine the desired concentration of the mixture.
- Next, set up a table with three columns: A, B, and the desired concentration.
- Next, subtract the desired concentration from A and B, and write the differences in the table.
- Next, find the ratio of the differences. Divide the difference of A by the difference of B.
- Finally, use the ratio to determine the proportions of A and B needed to achieve the desired concentration.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Quantity or concentration of A = 20%
Quantity or concentration of B = 40%
Desired concentration = 30%
