# What is the molarity of a solution that contains "5 moles" of solute dissolved in a solution that is "975 mL"?

May 5, 2017

The molarity of the solution is $\text{5.1 mol/L}$.

The solution is said to be $\text{5.1 molar}$.

The shorthand way to indicate molarity is $\text{5.1 M}$, which is pronounced $\text{5.1 molar}$, and is how it is written on the label of its container.

#### Explanation:

"Molarity (M)"=("moles of solute")/("liters of solution")

The volume of the solution is given in mL. The volume is required to be in liters, so $\text{975 mL}$ must be converted to liters.

$\text{1 L=1000 mL}$

975color(red)cancel(color(black)("mL"))xx(1"L")/(1000color(red)cancel(color(black)("mL")))="0.975 L"

$\text{Molarity (M)"=(5.0"mol")/(0.975"L")="5.1 mol/L}$ rounded to two significant figures