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The molar mass of a solute X in g mol^(-...

The molar mass of a solute X in g `mol^(-1)`, if its 1% solution is isotonic with a 5% solution of cane sugar (molar mass = `342 g mol^(-)`), is

A

68.4

B

34.2

C

136.2

D

171.2

Text Solution

Verified by Experts

The correct Answer is:
(a)

According to isotonicity,`(w_(1))/(v_(1))=(w_(2))/(v^(2)m_(2))`
`(1)/(m_(1))=(5)/(342)`     (because`(w_(1))/(v_(1))=1, (w_(2))/(v_(2))=5`)
Therefore `m_(1)= 68.4`
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