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Q.

A 6% (w/v) solution of urea is isotonic with

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a

25% (w/v) solution of glucose

b

0.05 M solution of glucose

c

6% (w/v) solution of glucose

d

1 M solution of glucose

answer is C.

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Detailed Solution

When a solution of urea(6%) is isotonic with a solution of glucose,
πglucose=πureaor  Cglucose=Cureawg×1000mg×100=wu×1000mu×100 
Where , wg =mass of glucose=xg; mg =molecular mass of glucose =180; wu =mass of urea=6g; mu =molecular mass of urea=60
x×1000180×100=6×100060×100x=18g 
Thus,18g of glucose are present in 100 mL of solution.
In other words, 1M solution of glucose(18g in 100 mL) is isotonic with 6% solution of urea.

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