# You need to make 4.00 L of a sulfuric acid solution that has a concentration of 0.10 M. If you...

## Question:

You need to make 4.00 L of a sulfuric acid solution that has a concentration of 0.10 M. If you are going to only use 50.0 mL of stock solution to make the dilution, what must the concentration of the stock solution be?

A. 0.243 M

B. 8.0 M

C. 4.12 M

D. 0.206 M

## Dilution:

Solutions may be prepared by dissolving a solid compound in a certain amount of solvent or by diluting a previously prepared stock solution into the desired concentration. Dilution involves the addition of more solvent to a certain amount of the stock solution.

## Answer and Explanation: 1

The answer is B. 8.0 M.

The following formula can be used to calculate the initial concentration of the stock solution that must be used to prepare the given solution.

{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}

The initial concentration is calculated below. Note that the volume must be expressed in the same unit so that they can be cancelled out.

{eq}\begin{align} \rm C_1 &= \rm \dfrac{C_2V_2}{V_1}\\ &= \rm \dfrac{(0.10 \ M)(4000 \ mL)}{50.0 \ mL}\\ &= \rm \boxed{8.0 \ M} \end{align} {/eq}

#### Learn more about this topic: Calculating Dilution of Solutions

from

Chapter 8 / Lesson 5
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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.