$3.42 \times 10^{-2} \mathrm{~kg}$ Sugar (molar mass 342 ) is dissolved in water to produce $234.2…

$3.42 \times 10^{-2} \mathrm{~kg}$ Sugar (molar mass 342 ) is dissolved in water to produce $234.2 \mathrm{~g}$ of sugar syrup, what is the molality of sugar syrup?
  1. $0 \cdot 50 \mathrm{~mol} \mathrm{~kg}^{-1}$
  2. $0 \cdot 76 \mathrm{~mol} \mathrm{~kg}^{-1}$
  3. $0.67 \mathrm{~mol} \mathrm{~kg}^{-1}$
  4. $0 \cdot 85 \mathrm{~mol} \mathrm{~kg}^{-1}$

Solution

Weight of water in sugar syrup $=234.2-34.2=200 \mathrm{gm}$ Molecular weight of sugar $=342$ Molal concentration $=\frac{34.2}{342} \times \frac{1000}{200}$ Molal concentrtion $=0.5$

Asked in: MHT CET 2020 (13 Oct Shift 1)

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