# The most highly concentrated hydrochloric acid is 12 M. What volume of a 12 M stock solution of...

## Question:

The most highly concentrated hydrochloric acid is 12 M. What volume of a 12 M stock solution of HCl should be diluted in order to produce 6.0 L of 0.50 M HCl?

## Hydrochloric Acid:

Hydrochloric acid (HCl) is a strong acid that is commonly found in laboratories and is also a component of stomach (gastric) acid. In the stomach the acid is used to help kill microorganisms and denature proteins so that enzymes can break them down.

## Answer and Explanation:

We are asked what volume of 12 M HCl stock solution is needed to prepare 6.0 L of 0.50 M HCl. As this is an example of a dilution problem, we can use the following formula to solve the problem:

{eq}\rm c_1V_1 = c_2V_2
{/eq}

Where:

{eq}\rm c_1
{/eq} is the concentration of stock solution

{eq}\rm V_1
{/eq} is the volume of stock solution

{eq}\rm c_2
{/eq} is the concentration of diluted solution

{eq}\rm V_2
{/eq} is the volume of diluted solution

Rearranging the formula to solve for {eq}\rm V_1 {/eq} and substituting in the values:

{eq}\begin{align} \rm V_1 &= \rm \dfrac{c_2V_2}{c_1}\\ &= \rm \dfrac{(0.50\:M)(6.0\:L)}{12\:M}\\ &= \rm 0.25\:L \end{align} {/eq}

**Therefore 0.25 L of the 12 M stock solution is needed.**

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Chapter 8 / Lesson 5Learn what a solution is and how to properly dilute a new solution from a stock solution. Learn the dilution equation that combines molarity, the volume of stock solution and desired solution to determine how much stock solution is needed for the new solution.