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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?

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CintiaSalazaridn

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

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:

[tex]molarity=\frac{number of moles}{volume}[/tex]

Molarity is expressed in units [tex]\frac{moles}{liters}[/tex].

Molar concentration of the table salt

In this case, you have:

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

Replacing in the definition of molarity:

[tex]molarity=\frac{0.171 moles}{0.125 L}[/tex]

Solving:

molarity= 1.368 [tex]\frac{moles}{liters}[/tex]

Finally, the molar concentration of the table salt is 1.368 [tex]\frac{moles}{liters}[/tex].

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