Respuesta :
Answer:
Molality of the methanol solution = 8.33 m
Explanation:
Given:
Mass % = 21.1 %
Molar mass of methanol = 32.04 g / mol
Find:
Molality of the methanol solution?
Computation:
Moles of methanol = Mass / Molar mass
Moles of methanol = = 21.1 / 32.04
Moles of methanol = 0.658
Assume.
Mass of solution = 100 g
Mass of solvent = 100 -21.1 = 78.9 g = 0.0789 kg
Molality of the methanol solution = 0.658 / 0.0789
Molality of the methanol solution = 8.33 m
The molality of the methanol solution will be "8.33 m".
Given values:
- Mass percentage = 21.1%
- Methanol's molar mass = 32.04 g/mol
Now,
Moles of methanol:
= [tex]\frac{Mass}{Molar \ mass}[/tex]
= [tex]\frac{21.1}{31.04}[/tex]
= [tex]0.658[/tex]
then,
Mass of solution:
= [tex]100-21.1[/tex]
= [tex]78.9 \ g \ or \ 0.0789 \ kg[/tex]
hence,
The molality will be:
= [tex]\frac{0.658}{0.0789}[/tex]
= [tex]8.33 \ m[/tex]
Thus the answer above is correct.
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