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alex41 [277]
3 years ago
14

A solution is composed of 85.5 wt% methanol in water. Find the mol fraction of methanol in the solution.

Chemistry
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

0.7681

Explanation:

Given that the mass percentage of methanol = 85.5 %

which means that 85.5 g of methanol is present in 100 g of the solution.

Thus, mass of water = 100 g - 85.5 g = 14.5 g

The formula for the calculation of moles is shown below:

moles = \frac{Mass\ taken}{Molar\ mass}

Mass of methanol = 85.5 g

Molar mass of methanol = 32.04 g/mol

<u>Moles of methanol = 85.5 g / 32.04 g/mol = 2.6685 moles</u>

Mass of water = 14.5 g

Molar mass of methanol = 18 g/mol

<u>Moles of methanol = 14.5 g / 18 g/mol = 0.8056 moles</u>

So, according to definition of mole fraction:

Mole\ fraction\ of\ methanol=\frac {n_{methanol}}{n_{methanol}+n_{water}}

Applying values as:

Mole\ fraction\ of\ methanol=\frac {2.6685}{2.6685+0.8056}

<u>Mole fraction of methanol in the solution = 0.7681</u>

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