What is the molality of solution of a nonvolatile solute having boiling point elevation $7.15 \mathrm{~K}$…

What is the molality of solution of a nonvolatile solute having boiling point elevation $7.15 \mathrm{~K}$ and molal elevation constant $2.75 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$ ?
  1. $3.2 \mathrm{~m}$
  2. $2.0 \mathrm{~m}$
  3. $2.6 \mathrm{~m}$
  4. $3.8 \mathrm{~m}$

Solution

$\Delta \mathrm{T}_{\mathrm{b}}=\mathrm{K}_{\mathrm{b}} \times \mathrm{m}$ $\therefore \quad \mathrm{m}=\frac{\Delta \mathrm{T}_{\mathrm{b}}}{\mathrm{K}_{\mathrm{b}}}$ $=\frac{7.15 \mathrm{~K}}{2.75 \mathrm{Kkg} \mathrm{mol}^{-1}}$ $=2.6 \mathrm{~mol} \mathrm{~kg}^{-1}$

Asked in: MHT CET 2023 (13 May Shift 2)

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