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Question

A 5.25% solution of a substance is isotonic with a 1.5% solution of urea (Molar mass =60 g/mol) in the same solvent.
If the densities of both the solutions are assumed to be equal to 1 g/cm3, the molar mass of the substance will be:

A
210 g/mol
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B
90 g/mol
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C
115 g/mol
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D
105 g/mol
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Solution

The correct option is A 210 g/mol
Since the solutions are isotonic, the concentration of the substance = concentration of urea
52.5 g/lM=15 g/l60 g/mol

(100 g solution=100 ml as d=1 g/ml
and 1 L=1000 ml)

M=52.5×6015=210 g/mol

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