Question #46fd6

1 Answer
Oct 26, 2015

0.233 M

Explanation:

The idea here is that you can convert the solution's concentration from percent concentration by mass, or %m/m, to moles per liter, or molar, by picking a sample solution.

To make calculations easier, you can pick a 100-g sample of the 0.750 m/m% solution

By definition, a solution's percent concentration by mass is defined as the mass of the solute, in this case methanol, divided by the total mass of the solution, and multiplied by 100.

%m/m=mass of solutemass of solution×100

In your case, the 100 g sample will contain 0.750 g of methanol.

To get the number of moles of methanol, use the compound's molar mass

0.750g1 mole CH3OH32.042g=0.02341 moles CH3OH

Now, to get the volume of the sample, you need to use its density. A 0.750%m/m methanol solution will have a density of approximately 0.997 g/mL at room temperature.

https://en.wikipedia.org/wiki/Methanol_%28data_page%29

This means that the sample will have a volume of

100g1 mL0.997g=100.3 mL

Molarity is defined as moles of solute per liter of solution

c=nV

In your case, you would get - do not forget to convert the volume from mililiters to liters!

c=0.02341 moles100.3103L=0.233 M

The answer is rounded to three sig figs.