How to Prepare a 15% Solution Using a 1:2 Dilution

Understanding how to prepare solutions with accurate concentrations is critical for various applications, from laboratory chemistry to pharmaceutical production. This article will guide you through the process of calculating the volumes needed to prepare 50 ml of a 15% solution using a 1:2 dilution.

Understanding the Dilution Ratio

When dealing with a 1:2 solution, it is vital to understand what this ratio means. A 1:2 solution indicates that for every 1 part of solute, there are 2 parts of solvent. This translates to a total of 3 parts in the mixture.

Step-by-Step Guide to Prepare the Solution

Calculate the Concentration of the 1:2 Solution:

The concentration of the 1:2 solution can be calculated using the following formula:

Concentration of 1:2 solution (1 part solute / 3 total parts) * 100%
(1/3) * 100%
33.33%

Set Up the Equation to Find the Volume of the 1:2 Solution Needed:

The goal is to prepare 50 ml of a 15% solution. This means we need to determine how much of the 1:2 solution is required to achieve this concentration.

Let V be the volume of the 1:2 solution needed.

Calculate the Amount of Solute Contributed by the 1:2 Solution:

We need to determine how much solute is required for the final 15% solution:

Amount of solute 15% * 50 ml 0.15 * 50 ml 7.5 ml

Knowing the concentration of the 1:2 solution (33.33%), we can calculate the volume of the 1:2 solution needed to obtain 7.5 ml of solute:

Amount of solute from 1:2 solution Concentration * V

Setting this equal to the required amount of solute:

0.3333 * V 7.5 ml
V 7.5 ml / 0.3333 ≈ 22.5 ml

Calculate the Amount of Water Needed:

To find the amount of water needed, subtract the volume of the 1:2 solution from the total desired volume of 50 ml:

Vwater 50 ml - 22.5 ml 27.5 ml

Summary of Results

To prepare 50 ml of a 15% solution, you will need:

22.5 ml of the 1:2 solution 27.5 ml of water

Additional Tips for Successful Dilution

1. **Accurate Measurement:** Ensure precise measurements using calibrated tools to avoid errors in concentration.

2. **Mixing Well:** After combining the two components, mix thoroughly to ensure uniformity in the solution.

3. **Consistency Check:** Verify the final concentration by performing a quick test or analysis if possible.

Understanding and mastering these steps will help you prepare accurate solutions consistently, enhancing your experimental or production processes.