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Depression in Freezing Point

What is the m...

Question

What is the melting point of 0.2 L water containing 6.20 g $C_{2} H_{6} O_{2}$ ?

- {1.86}^{o} C

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- {0.93}^{o} C

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0^{o} C

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{0.93}^{o} C

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{1.86}^{o} C

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Solution

The correct option is B $- {0.93}^{o} C$
for $C_{2} H_{6} O_{2}$ constant $i$ $=$ $1$ and $K_{F}$ $=$ $1.86$
$△$ $T$ $=$ $1 \times 1.86 \times m o l a l i t y$
$△$ $T$ $=$ $1 \times 1.86 \times w e i g h t / (M W \times K g s o l v e n t)$
$m o l a l i t y$ $=$ $w e i g h t / (m o l e c u l a r w e i g h t \times K g s o l v e n t)$
$△$ $T$ $=$ $1.86 \times 6.2 / (.2 \times 62.06)$ $=$ $.93 C$
so melting point $=$ $- 0.93 C$

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