Question

10.0 g of table salt, NaCl, is dissolved in water to a total volume of 125.0 mL. What is the resulting molar concentration of the table salt?

Answer 1

Taking into account the definition of molarity, the molar concentration of the table salt is 1.368 $\frac{moles}{liters}$.

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 $\frac{moles}{liters}$.

Molar concentration of the table salt

In this case, you have:

• number of moles= 10 g×$\frac{1 mole}{58.45 g}$= 0.171 moles [being $58.45\frac{g}{mole}$ the molar mass of NaCl]
• volume= 125 mL= 0.125 L [being 1000 mL= 1 L]

Replacing in the definition of molarity:

$molarity=\frac{0.171 moles}{0.125 L}$

Solving:

molarity= 1.368 $\frac{moles}{liters}$

Finally, the molar concentration of the table salt is 1.368 $\frac{moles}{liters}$.

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