Find out the mole fraction of methanol in a 5 | vedclass

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Question

(A) $5.2 \ m$ solution means $5.2 \ mol$ of methanol is dissolved in $1 \ kg$ $(1000 \ g)$ of water. Number of moles of methanol $(n_{methanol})$ = $5

Vedclass · Accepted Answer

$0.086$

Vedclass · Answer

(A) $5.2 \ m$ solution means $5.2 \ mol$ of methanol is dissolved in $1 \ kg$ $(1000 \ g)$ of water. Number of moles of methanol $(n_{methanol})$ = $5.2 \ mol$. Number of moles of water $(n_{water})$ = $\frac{1000 \ g}{18 \ g/mol} \approx 55.56 \ mol$. Mole fraction of methanol $(x_{methanol})$ = $\frac{n_{methanol}}{n_{methanol} + n_{water}} = \frac{5.2}{5.2 + 55.56} = \frac{5.2}{60.76} \approx 0.0856$. Rounding to three decimal places,we get $0.086$.

Find out the mole fraction of methanol in a $5.2 \ m$ aqueous solution of methanol.

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