Q30 / 120 · VITEEE 2014 · Chemistry

If the elevation in boiling point of a solution of $10 \mathrm{~g}$ of solute $(\mathrm{mol} . \mathrm{wt}=100)$ in $100 \mathrm{~g}$ of water is $\Delta T_{b}$, the ebullioscopic constant of water is

  • A
    10
  • B
    $100 T_{b}$
  • Correct answer
    C
    $\Delta T_{b}$
  • D
    $\frac{\Delta T_{\mathrm{b}}}{10}$

Solution

We know that, $\Delta \mathrm{T}_{\mathrm{b}}=\frac{1000 \times \mathrm{K}_{\mathrm{b}} \times \mathrm{w}}{\mathrm{W} \times \mathrm{M}}$ $\begin{array}{l} \mathrm{M}=\frac{1000 \times \mathrm{K}_{\mathrm{b}} \times \mathrm{w}}{\mathrm{W} \times \Delta \mathrm{T}_{\mathrm{b}}} \\ \Delta \mathrm{T}_{\mathrm{b}}=\frac{1000 \times \mathrm{K}_{\mathrm{b}} \times 10}{100 \times 100} \\ \Delta \mathrm{T}_{\mathrm{b}}=\mathrm{K}_{\mathrm{b}} \end{array}$

Hence, the correct answer is option: 'C'.

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