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A 5.25% solution of a substance is isoto...

A `5.25%` solution of a substance is isotonic with a `1.5%` solution of urea (molar mass `= 60g mol^(-1)`) in the same solvent. If the densities of both the solutions are assumed to be equal to `1.0 g cm^(-3)`, molar mass of the substance will be:

A

`105.0g "mol"^(-1)`

B

`210.0g "mol"^(-1)`

C

`90.0g "mol"^(-1)`

D

`15.0g "mol"^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Isotonic solution have same osmotic pressure.
`pi_(1)=C_(1)RT,pi_(2)=C_(2)RT`
For isotonic solution, `pi_(1)=pi_(2)`
`therefore C_(1)=C_(2)`.
or `(1.5//60)/(V)=(5.25//M)/(V)` [where `M=` molecular weight of the substance]
or `(1.5)/(60)=(5.25)/(M)=210`.
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