Q. The increase in boiling point of a solution containing 0.6 g urea in 200 g water is ${0.50}^{\circ}C.$Find the molal elevation constant.

A) 10 K kg $mol^{- 1}$
B) 10 K g $mol^{- 1}$
C) 10 K kg mol
D) 1.0 K kg $mol^{- 1}$
Explanation

(a)
Molality, m=$\frac{no.of\ moles\ of\ solute\ }{weight\ of\ solution\ in\ kg\ }$
$\ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{1000 \times w_{1}}{m_{1}W_{1}}$
=$\frac{1000 \times 0.6}{60 \times 200}$
= 0.05
[$\therefore Molecular\ weight\ of\ NH_{2}CONH_{2} = 60$]
Given, $\mathrm{\Delta}T_{b} = 0.05\ \ \ \$
$\ \ \ \ \ \ \ \ \ \ \ \ \mathrm{\Delta}T_{b}\ = K_{b} \times m$
or 0.05 =$K_{b} \times 0.05$
$\therefore\ \ \ \ \ \ \ \ \ \ K_{b} = 10\ K\ mol^{- 1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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