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Depression in Freezing Point

If one aqueou...

Question

If one aqueous solution freezes at $- {0.93}^{0} C$ ; then at what temperature it boils? [For water $k_{f} = 1.86 K k g m o l^{- 1}, k_{b} = 0.52 K k g m o l^{- 1}$ ]

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Solution

$Δ T_{f} = K_{f} . m$
$Δ T_{f} = d e p r e s s i o n i n f r e e z i n g p o i n t = 0 - (- 0.93) = 0.93$
$m = m o l a l i t y$
So, $0.93 = 1.86 m$
$m = 0.5 k g / m o l$
Also, $Δ T_{b} = K_{b} . m$
$Δ T_{b} = e l e v a t i o n i n b o i l i n g p o i n t = T_{b} - 100^{0} C$ (where $T_{b}$ is boiling point of solution)
$T_{b} - 100 = 0.52 \times 0.5$
$T_{b} = 0.26 + 100 = {100.26}^{0} C$

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