How to Dilute a Salt Solution to a Desired Concentration

When working with salt solutions, it's often necessary to adjust the concentration for a variety of chemical and experimental purposes. This article explains a common method and the mathematics behind diluting a 30-ounce solution that contains 7% salt to a solution that is 2.5% salt. We will explore the process step-by-step and explain the key concepts of solution dilution.

Understanding the Process of Solution Dilution

Solution dilution involves reducing the concentration of a solute (in this case, salt) in a solution by adding additional solvent (water). The process of dilution can be quantified using the dilution formula, which is based on the principle that the quantity of solute remains constant before and after dilution.

Applying the Dilution Formula

The dilution formula is expressed as:

Concentration1 × Volume1 Concentration2 × Volume2

In this problem, we are given:

Concentration1 7% (written as 7/100 or 0.07) Volume1 30 ounces Concentration2 2.5% (written as 2.5/100 or 0.025) Volume2 The final volume of the solution after dilution (let's call this A)

Solving for the Final Volume

Let's solve for A using the dilution formula:

0.07 × 30 0.025 × A

2.1 0.025A

A 2.1 / 0.025

A 84 ounces

This means that the final volume of the solution after dilution will be 84 ounces.

Calculating the Amount of Water to Add

To find out how much water must be added, we need to subtract the initial volume from the final volume:

Amount of water to be added Final volume - Initial volume

Amount of water to be added 84 ounces - 30 ounces

Amount of water to be added 54 ounces

Conclusion

To dilute a 30-ounce solution containing 7% salt to a 2.5% salt solution, you need to add 54 ounces of water. This process is based on the dilution formula, which ensures that the amount of solute remains constant before and after dilution, while the volume of the solution changes.

Related Keywords

Dilution Formula Salt Solution Concentration Adjustment