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Considering the definition of molarity, the concentration of CH₃OH in the solution is 2.1875 [tex]\frac{moles}{liter}[/tex].
Molarity is a measure of concentration that 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 the solute by the volume of the solution:
[tex]Molarity=\frac{number of moles of solute}{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].
On the other hand, molar mass is the amount of mass that a substance contains in one mole.
Being the molar mass of CH₃OH 32.0 g/mol, then the number of moles that 35 g of the compound contain is calculated as:
[tex]35 gramsx\frac{1 mole}{32 grams} =[/tex] 1.09375 moles
If 1.09374 moles of CH₃OH are dissolved in 500.0 mL= 0.500 L (being 1000 mL= 1 L) of solution, the molarity can be calculated as:
[tex]Molarity=\frac{1.09375 moles}{0.500 L}[/tex]
Solving:
Molarity= 2.1875 [tex]\frac{moles}{liter}[/tex]
Finally, the concentration of CH₃OH in the solution is 2.1875 [tex]\frac{moles}{liter}[/tex].
Learn more about molarity with this example: