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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