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Question

A $$5.2$$ molal aqueous solution of methyl alcohol, $$CH_{3}OH$$ is supplied. What is the mole fraction of methyl alcohol in the solution?


A
0.05
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B
0.10
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C
0.18
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D
0.086
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Solution

The correct option is D $$0.086$$
 A $$5.2$$ molal aqueous solution of methyl alcohol means that 1 kg ( or 1000 g) of water contains 5.2 moles of methyl alcohol. The molecular weight of water is 18 g/mol. 

The number of moles of water
$$ \displaystyle  = \dfrac { \text { 1000 g  } }{ \text { 18 g/mol  } }    =  \text { 55.56 mol }  $$

The mole fraction of methyl alcohol $$ \displaystyle =\dfrac { \text {  5.2 mol } }{  \text {  5.2 mol }+\text { 55.56 mol  } }    =  \text {0.086  } $$.

Hence, the correct option is $$D$$

Chemistry

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