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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

Respuesta :

CintiaSalazar

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:

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

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

Molarity of the solution in this case

In this case, you know:

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

Replacing in the definition of molarity:

[tex]Molarity=\frac{2 moles}{0.250 L}[/tex]

Solving:

Molarity= 8 [tex]\frac{moles}{liter}[/tex]= 8 M

Finally, the molarity of the solution is 8 M.

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