# How many milliliters of 5.3 M HCl solution are needed to obtain 0.17 mol of HCl?

## Question:

How many milliliters of {eq}\rm 5.3\ M\ HCl {/eq} solution are needed to obtain {eq}\rm 0.17\ mol {/eq} of {eq}\rm HCl {/eq}?

## Molarity:

The moles of solute present in a solution can be expressed by the concentration unit of molarity. It is the ratio between the moles of solute per liter of solution. The formula for molarity denoted by (M) is given below.

{eq}\rm Molarity~(M)~=~\frac{moles~solute}{Liter~solution} {/eq}

Using the given concentration, we use dimensional analysis to determine the volume of HCl needed.

{eq}\rm 0.17~mol~HCl\times\frac{1~L}{5.3~mol~HCl}\times\frac{1000~mL}{1~L}~=~\boxed{32.1~mL} {/eq}