Question

A solution is prepared by dissolving 117 grams of salt (NaCl) in 250 milliliters of water (H₂O). What is
the molarity of the solution?

A. 0.47 M NaCl
B. 8.0 x 10-3 M NaCl
C. 8.0 M NaCl
D. 468 M NaCl

Answer 1

Taking into account the definition of molarity, the molarity of the solution is 8 M.

Definition of molarity

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

$Molarity=\frac{number of moles}{volume}$

Molarity is expressed in units $\frac{moles}{liter}$.

Molarity of the solution in this case

In this case, you know:

• number of moles= 117 grams×$\frac{1 mole}{58.45 grams}$= 2 moles, where 58.45 $\frac{grams}{mole}$ is the molar mass of NaCl
• volume= 250 mL= 0.250 L (being 1000 mL= 1 L)

Replacing in the definition of molarity:

$Molarity=\frac{2 moles}{0.250 L}$

Solving:

Molarity= 8 $\frac{moles}{liter}$= 8 M

Finally, the molarity of the solution is 8 M.

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