$18 \mathrm{~g}$ of glucose is dissolved in $90 \mathrm{~g}$ of water. The relative lowering of vapour…

$18 \mathrm{~g}$ of glucose is dissolved in $90 \mathrm{~g}$ of water. The relative lowering of vapour pressure of the solution is equal to
  1. $6$
  2. $0.2$
  3. $5.1$
  4. $0.02$

Solution

From Rault’s law for non-volatile solute, we know that $\frac{p^{\circ}-p_s}{p^{\circ}}=\frac{n_2}{n_1+n_2}$ For dilute solution, relative lowering of vapour pressure, $\begin{aligned} & n_2=\frac{18}{180}=0.1 \\ & n_1=\frac{90}{18}=5 \\ & \frac{p^{\circ}-p_s}{p^{\circ}}=\frac{0.1}{5}=0.02 \end{aligned}$

Asked in: AP EAMCET 2015

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