The boiling point of $0.2 m o l k g^{- 1}$ solution of X in water is greater than equimolal solution of Y in water. Which one of the following statements is true in this case ?

Molecular mass of X is greater then the molecular mass of Y.

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Molecular mass of X is less than the molecular mass of Y

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X is undergoing dissociation in water while X undergoes no change.

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X is undergoing dissociation in water

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Solution

The correct option is D X is undergoing dissociation in water
$(Δ T_{b})_{X} > (Δ T_{b})_{Y}$
$(i \times k_{b} \times m)_{X} > (i \times k_{b} \times m)_{Y}$
$i$ is van't hoff factor
$K_{b}$ is ebullioscopic constant.
$m$ is molality
Since solvent is same , so $K_{b}$ is same.
Equimolal given, so molality is same
$i_{X} > i_{Y}$

so, X is undergoing dissociation in water.

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