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Question: Answered & Verified by Expert
The mole fraction of ethanol in water is $0.08$. Its molality is
ChemistrySome Basic Concepts of ChemistryWBJEEWBJEE 2020
Options:
  • A $6.32 \mathrm{~mol} \mathrm{~kg}^{-1}$
  • B $4.83 \mathrm{~mol} \mathrm{~kg}^{-1}$
  • C $3.82 \mathrm{~mol} \mathrm{~kg}^{-1}$
  • D $2.84 \mathrm{~mol} \mathrm{~kg}^{-1}$
Solution:
1814 Upvotes Verified Answer
The correct answer is: $4.83 \mathrm{~mol} \mathrm{~kg}^{-1}$
Hint:
$\begin{aligned} \text { Molality } &=\frac{\mathrm{x}_{\mathrm{EtOH}}}{\mathrm{x}_{\mathrm{H}_{2} \mathrm{O}}} \times \frac{1000}{\mathrm{MW}_{\text {solvent }}} \\ &=\frac{0.08}{0.92} \times \frac{1000}{18} \\ &=4.83 \mathrm{~mol} \mathrm{~kg}^{-1} \end{aligned}$

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