What is boiling point of a decimolal aqueous solution of glucose if molal elevation constant for water is $0…

What is boiling point of a decimolal aqueous solution of glucose if molal elevation constant for water is $0.52^{\circ} \mathrm{C} \mathrm{kg} \mathrm{mol}^{-1}$ ?
  1. $101.52^{\circ} \mathrm{C}$
  2. $99.95^{\circ} \mathrm{C}$
  3. $99.48^{\circ} \mathrm{C}$
  4. $100.052^{\circ} \mathrm{C}$

Solution

$\begin{aligned} & \Delta \mathrm{T}_{\mathrm{b}}=\mathrm{k}_{\mathrm{b}} \cdot \mathrm{m} \\ & \Delta \mathrm{T}_{\mathrm{b}}=0.52 \times 0.1, \mathrm{~m}=0.1 \text { (decimolal solution) } \\ & =0.052^{\circ} \mathrm{C} \\ & \Delta \mathrm{T}_{\mathrm{b}}=\mathrm{T}_{\mathrm{b}}-\mathrm{T}_{\mathrm{b}}^{\circ} \quad\left(\mathrm{T}_{\mathrm{b}}^{\circ}=\right.\text { Boiling point of pure water) } \\ & 0.052^{\circ} \mathrm{C}=\mathrm{T}_{\mathrm{b}}-100^{\circ} \mathrm{C} \\ & \mathrm{T}_{\mathrm{b}}=100.052^{\circ} \mathrm{C} \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 1)

Practice more Solutions questions on Aicharya