What is the percentage strength (v / v) of alcohol in a mixture of 20 mL of 12 % v / v alcohol,

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What is the percentage strength (v / v) of alcohol in a...

What is the percentage strength $(\mathrm{v} / \mathrm{v})$ of alcohol in a mixture of $20 \mathrm{~mL}$ of $12 \% \mathrm{v} / \mathrm{v}$ alcohol, $15 \mathrm{~mL}$ of $18 \% \mathrm{v} / \mathrm{v}$ alcohol, and $25 \mathrm{~mL}$ of $25 \% \mathrm{v} / \mathrm{v}$ alcohol?

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Key Concepts

Percentage by Volume

Percentage by volume (v/v) is a way to express the concentration of a component in a mixture. It represents the ratio of the volume of the solute (in this case, alcohol) to the total volume of the solution, multiplied by 100 to give a percentage. This is useful when mixing liquids and comparing their concentrations.

Weighted Average

When combining solutions of different concentrations, the overall concentration of the mixture can be determined by calculating the weighted average. This involves multiplying each individual concentration by its corresponding volume to find the total amount of solute, summing these values, and then dividing by the total volume of the mixture. The result, when multiplied by 100 if necessary, gives the percentage strength of the final mixture.

Mixture Calculations

Mixing solutions with different concentrations requires the application of conservation principles, where the total solute in the mixture is the sum of the solutes in each individual component. This technique ensures that the resulting concentration reflects the contributions of each part accurately using standard arithmetic methods such as the weighted average calculation.

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