Molal depression constant for a liquid is $2.77^{\circ} \mathrm{C} \mathrm{kg} \mathrm{mol}^{-1}$, in Kelvin…

Molal depression constant for a liquid is $2.77^{\circ} \mathrm{C} \mathrm{kg} \mathrm{mol}^{-1}$, in Kelvin scale it's value is
  1. $275.77 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$
  2. $271.77 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$
  3. $2.77 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$
  4. $27.7 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$

Solution

$\mathrm{K}_{\mathrm{f}}=\frac{\Delta \mathrm{T}_{\mathrm{f}}}{\mathrm{m}}$ unit of $\mathrm{K}_{\mathrm{f}} \Rightarrow{ }^{\circ} \mathrm{C} \mathrm{kg} \cdot \mathrm{mol}^{-1}$ Or K kg. $\mathrm{mol}^{-1}$ Temperature difference will be same in ${ }^{\circ} \mathrm{C}$ and $\mathrm{K}$. $\mathrm{K}_{\mathrm{f}}=2.77 \mathrm{~K} \mathrm{~kg} \cdot \mathrm{mol}^{-1}$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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