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Question

# A dilute solution contains ′x′ moles of solute A in 1 kg of solvent with molal elevation constant Kb. The solute dimerises in the solution according to the following equation. 2A⇌A2 The degree of association is (α). The molar mass observed will be : [1 Mark]

A
Greater than the actual molar mass
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B
Lesser than the actual molar mass
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C
Equal to the actual molar mass
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D
Cannot be predicted by the data given
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Solution

## The correct option is A Greater than the actual molar massGiven, 2A⇌A2At t=010At t=teq1−αα2 ∴van't Hoff factor (i)=1−α+α2=1−α2 Again, i=Normal molar massObserved molar mass Since value of i here is less than 1, hence The molar mass observed will be greater than the actual molar mass.

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