# 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.

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.

Calculating Dilution of Solutions

from

Chapter 8 / Lesson 5
69K

Learn 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.