Which of the following solution is expected to have lowest vapour pressure?

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Q.

Which of the following solution is expected to have lowest vapour pressure?

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a

$0.1 M$ sugar

b

$0.08 M {CaCl}_{2}$

c

$0.1 M NaCl$

d

$0.04 M {Na}_{2} {SO}_{4}$

answer is B.

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Detailed Solution

Lowering of vapor pressure $\propto i$ (concentration)
$0.1 M sugar \Rightarrow i (conc) = 1 \times 0.1 = 0.1 0.08 M {CaCl}_{2} \Rightarrow i (conc) = 3 \times 0.8 = 0.24 0.1 M NaCl \Rightarrow i (conc) = 2 \times 0.1 = 0.2 0.04 M {Na}_{2} {SO}_{4} \Rightarrow i (conc) = 3 \times 0.04 = 0.12$
So, maximum lowering will be in $0.08 M {CaCl}_{2}$
So, it shows lowest vapor pressure.

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Which of the following solution is expected to have lowest vapour pressure?