# A solution has a concentration of 5.00 M. How many moles are in 852 mL of the solution?

## Question:

A solution has a concentration of 5.00 M. How many moles are in 852 mL of the solution?

## Molarity:

The molarity of a solution is an expression of the relative amount of solute dissolved in the solution. In preparing solutions expressed in molairty, *M*, the equation below can be used:

{eq}\rm M = \dfrac nV {/eq}

- {eq}\rm n{/eq} is the moles of the solute
- {eq}\rm V{/eq} is the volume of the solution

## Answer and Explanation: 1

We convert the given volume, *V*, in liters by using the conversion factor 1 L = 1000 mL:

{eq}\rm V = 852~mL \times \dfrac{1~L}{1000~mL} = 0.852~L {/eq}

Then, using the given molar concentration , *M*, 5.00 M, we can compute for the moles of the solute, *n*, as follows:

{eq}\rm n = MV = 0.500\dfrac{mol}{L} (0.852~L) = \boxed{\mathbf{0.426~mol}} {/eq}

#### Learn more about this topic:

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Chapter 8 / Lesson 4What is molarity? What is molality? Compare molarity vs molality by viewing molality and molarity formulas, how to calculate molarity and molality, and examples.