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Q. What is the mole fraction of glucose in $10\%\, w/W$ glucose solution?

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Solution:

No. of moles of glucose $= \frac{10}{180} = 0.0555 \,mol$
No. of moles of water $= \frac{90}{18} = 5\,mol$
Number of moles of solution $= 5.0555\, mol$
Mole fraction of glucose $=\frac{\text{No. of moles of glucose}}{\text{No. of moles of solution}}$
$= \frac{0.0555}{5.0555} = 0.01$