What are the units of molal elevation constant? - Vidyadip

Question

What are the units of molal elevation constant?

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Answer

Boiling point elevation, $\Delta T_b$ is given by,
$\Delta T_b=K_b \times m$ where $m$ is molality in $mol kg ^{-1}$ and $K _{ b }$ is molal elevation constant or abullioscopic constant.

$\begin{aligned}
& \therefore K_{ b }=\frac{\Delta T_{ b }}{m}\\
& \therefore K _{ b } \text { has units } K kg mol ^{-1}\left( or ^{\circ} C kg mol ^{-1}\right. \text { ) }
\end{aligned}$ Therefore, molal elevation constant is the elevation in boiling point produced by 1 molal solution of a nonvolatile solute.

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