Did you know?
The observable universe is ~93 billion light-years across — and it's still expanding.
Did you know?
The observable universe is ~93 billion light-years across — and it's still expanding.
The boiling point of 0.2 mol kg solution of X in water is greater than the equimolal solution of Y in water. Which one of the following statements is true in this case?
Molecular mass of X is greater than the molecular mass of Y.
Molecular mass of X is less than the molecular mass of Y.
Y is undergoing dissociation in water while X undergoes no change.
X is undergoing dissociation in water.
To solve this problem, we need to understand the concept of boiling point elevation, which is a colligative property.Colligative properties depend on the number of solute particles in a solution, not on the identity of the solute.The boiling point elevation is given by:where:• is the van 't Hoff factor, representing the number of particles the solute splits into.• is the ebullioscopic constant of the solvent (water in this case).• is the molality of the solution.Given that the boiling point of the solution of X is greater than that of Y,Since both solutions are equimolal (same molality), the difference in boiling point elevation must be due to the factor.This implies:Simplifying, we get:This means that X dissociates into more particles than Y in the solution.Now, let's analyze the options:• Option 1: Molecular mass of X is greater than the molecular mass of Y.• Option 2: Molecular mass of X is less than the molecular mass of Y.• Option 3: Y is undergoing dissociation in water while X undergoes no change.• Option 4: X is undergoing dissociation in water.Since X must be undergoing dissociation in water, leading to a higher boiling point elevation.Therefore, the correct option is Option 4: X is undergoing dissociation in water.
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