Which one of the following is the ratio of the lowering of vapour pressure of $0.1 M$ aqueous solution of $B a C l_{2}, N a C l$ and $A l_{2} (S O_{4})_{3}$ , respectively?

3 : 2 : 5

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5 : 2 : 3

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5 : 3 : 2

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2 : 3 : 5

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Solution

The correct option is B $3 : 2 : 5$
We know,

$\frac{Δ P}{P^{o}}$ $=$ $i \times K f \times m$
where,
$i =$ number of moles of ions are produced on the dissociation of the 1 mol of the ionic compound.
Now, as $A l_{2} (S O_{4})$ dissociates into 5 moles of ions,
whereas $B a C l_{2}$ dissociates into 3 moles of ions,
and $N a C l$ dissociates into 2 moles of ions.
Hence, the ratio of lowering of vapour pressure of 0.1 M aqueous solution of $B a C l_{2}, N a C l$ and $A l_{2} (S O_{4})_{3},$ respectively are as follows:
$3 : 2 : 5$

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