# A 500 mL solution with a concentration of 2 M is diluted with an appropriate amount of solvent to...

## Question:

A 500 mL solution with a concentration of 2 M is diluted with an appropriate amount of solvent to a molarity of 0.25 M. What is the final volume?

## Dilution:

Dilution is a process used in making solutions with lower concentrations from more concentrated solutions. This is usually done through the addition of a specific amount of solvent to a specific amount of the original solution.

## Answer and Explanation: 1

The dilution process can be expressed using the following equation.

{eq}\rm C_1V_1=C_2V_2 \\ Where:\\ C_1 = initial\ concentration\\ V_1 = initial\ volume\\ C_2 = final\ concentration\\ V_2 = final\ volume {/eq}

This equation is used to calculate the final volume. The solution and final answer is shown as follows:

{eq}\begin{align} \rm V_2 &= \dfrac{C_1V_1}{C_2}\\ &= \rm \dfrac{(2\ M)(500\ mL)}{0.25\ M}\\ &= \boxed{\mathbf{4000\ mL}} \end{align} {/eq}

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Chapter 8 / Lesson 5Want to know how to calculate dilution factor? See dilution equations, the dilution formula, and learn how to dilute acid and how to dilute a solution.

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