Solutions and Colligative Properties - Result Question 63

34. Addition of $0.643 $ $g$ of a compound to $50$ $ mL$ of benzene (density : $0.879 $ $g / mL$ ) lowers the freezing point from $5.51^{\circ} C$ to $5.03^{\circ} C$. If $K _f$ for benzene is $5.12$ , calculate the molecular weight of the compound.

(1992,2 M)

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Answer:

Correct Answer: 34. $(156$ $ g/mol)$

Solution:

$-\Delta T _f=5.51-5.03=0.48$

$\Rightarrow \quad-\Delta T _f=0.48=K _f \cdot m$

$\Rightarrow \quad 0.48=5.12 \times \dfrac{0.643}{M} \times \dfrac{1000}{50 \times 0.879}$

$\Rightarrow \quad M=156$ $ g / mol$