Table of Contents
Welcome to this practice quiz designed to test and enhance your skills in alligation medial. Alligation medial is a useful technique in pharmacy and chemistry for mixing solutions of different concentrations to achieve a desired concentration efficiently. This quiz provides a series of questions with detailed solutions to help you understand the concepts better.
Understanding Alligation Medial
Alligation medial is a method used to find the ratio in which two or more solutions of different concentrations must be mixed to obtain a solution of desired concentration. It simplifies the process of mixing solutions and ensures accurate results.
Practice Questions
Question 1
How much of a 20% solution should be mixed with a 40% solution to obtain 30% solution? Assume the total volume of the mixture is 100 ml.
Solution to Question 1
Let x ml of 20% solution be mixed with (100 – x) ml of 40% solution.
Using alligation medial, the ratio of the quantities of the two solutions is given by:
(Difference between the concentration of the second solution and the desired concentration) : (Difference between the concentration of the first solution and the desired concentration)
= (40 – 30) : (30 – 20) = 10 : 10 = 1 : 1
Therefore, equal volumes of the two solutions are needed.
Since the total volume is 100 ml, x = 50 ml.
Answer: Mix 50 ml of 20% solution with 50 ml of 40% solution.
Question 2
A pharmacist needs to prepare 200 ml of a 25% solution by mixing a 15% solution and a 35% solution. How much of each solution should be used?
Solution to Question 2
Let x ml of 15% solution be mixed with (200 – x) ml of 35% solution.
Using alligation medial, the ratio of the two solutions is:
(35 – 25) : (25 – 15) = 10 : 10 = 1 : 1
Thus, equal volumes are mixed.
Since the total volume is 200 ml, x = 100 ml.
Answer: Use 100 ml of 15% solution and 100 ml of 35% solution.
Additional Practice Questions
- What volume of a 10% solution should be mixed with a 50% solution to obtain 20% solution? Total volume desired is 150 ml.
- Mix 60 ml of a 12% solution with a 24% solution to get 18% solution. How much of each solution is needed?
Tips for Solving Alligation Medial Problems
Remember the key steps:
- Identify the concentrations of the solutions involved.
- Determine the desired concentration.
- Calculate the differences between the concentrations and the desired concentration.
- Use the alligation medial rule to find the ratio of the solutions.
- Calculate the actual quantities based on the ratio and total volume.
Practicing these steps will help you solve alligation medial problems efficiently and accurately.
Conclusion
This quiz has provided you with a practical understanding of alligation medial through example questions and detailed solutions. Keep practicing to master this useful technique, which is essential in pharmacy, chemistry, and related fields. Good luck!