Respuesta :
Taking into account the definition of molarity, the concentration of CH₃OH in the solution is 3.12 [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].
Concentration of CH₃OH
In this case, you know:
- number of moles= 50 g× [tex]\frac{1 mole}{32.04 g}[/tex]= 1.56 moles, being 32.04 [tex]\frac{g}{mole}[/tex] the molar mass of CH₃OH
- volume= 500 mL= 0.5 L (being 1000 mL= 1 L)
Replacing in the definition of molarity:
[tex]Molarity=\frac{1.56 moles}{0.500 L}[/tex]
Solving:
Molarity= 3.12 [tex]\frac{moles}{liters}[/tex]
Finally, the concentration of CH₃OH in the solution is 3.12 [tex]\frac{moles}{liters}[/tex].
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