MHT CET · Chemistry · Some Basic Concepts of Chemistry
\(34.2 \mathrm{~g}\) sugar dissolved in \(1 \cdot 8 \times 10^{2} \mathrm{~g}\) water to from sugar syrup, calculate mole fraction of sugar? (Molar mass sugar \(=342\), water \(=18\) )
- A \(0 \cdot 009\)
- B \(0 \cdot 001\)
- C \(0 \cdot 1\)
- D \(0 \cdot 9\)
Answer & Solution
Correct Answer
(A) \(0 \cdot 009\)
Step-by-step Solution
Detailed explanation
Molar masses of cane sugar and water are \(342 \mathrm{~g} / \mathrm{mol}\) and \(18 \mathrm{~g} / \mathrm{mol}\) respectively.
Number of moles of can sugar \(=\frac{34.2 \mathrm{~g}}{342 \mathrm{~g} / \mathrm{mol}}=0.1 \mathrm{~mol}\)
Number of moles of water \(=\frac{180 \mathrm{~g}}{18 \mathrm{~g} / \mathrm{mol}}=10 \mathrm{~mol}\)
Mole fraction of cane sugar \(=\frac{0.1}{0.1+10}=0.0099\)
Number of moles of can sugar \(=\frac{34.2 \mathrm{~g}}{342 \mathrm{~g} / \mathrm{mol}}=0.1 \mathrm{~mol}\)
Number of moles of water \(=\frac{180 \mathrm{~g}}{18 \mathrm{~g} / \mathrm{mol}}=10 \mathrm{~mol}\)
Mole fraction of cane sugar \(=\frac{0.1}{0.1+10}=0.0099\)
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