Respuesta :

Answer:

The molarity is 3.42 [tex]\frac{moles}{liter}[/tex]

Explanation:

The molarity reflects the concentration of a solution and indicates the number of moles of solute per liter of solution. In other words, the molarity (M) is the number of moles of solute that are dissolved in a given volume.

The Molarity of a solution is determined by the following formula:

[tex]Molarity (M)=\frac{number of moles of solute}{volume}[/tex]

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

To know the amount of moles of solute (NaCl) you must know its molar mass. If:

  • Na: 23 g/mole
  • Cl: 35.45 g/mole

the molar mass of NaCl is: 23 g/mole + 35.45 g/mole= 58.45 g/mole

Now you apply a rule of three as follows: if 58.45 g of NaCl are present in 1 mole, 10 grams of the compound in how many moles are they?

[tex]moles=\frac{10 g*1 mole}{58.45 g}[/tex]

moles= 0.171

Then:

  • number of moles of solute: 0.171 moles
  • volume= 50 mL= 0.05 L (being 1 L=1000 mL)

Replacing in the definition of molarity:

[tex]Molarity=\frac{0.171 moles}{0.05 L}[/tex]

Molarity= 3.42 [tex]\frac{moles}{liter}[/tex]

The molarity is 3.42 [tex]\frac{moles}{liter}[/tex]