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The osmotic pressure of urea solution at...

The osmotic pressure of urea solution at `10^(@)C` is `200 mm`.becomes `105.3 mm` when it is diluted and temperature raised to `25^(@)C`. The extent of dilution is

A

8 times

B

5 times

C

4 times

D

2 times

Text Solution

Verified by Experts

The correct Answer is:
D
Let `pi_(1)=200 mm `,`T_(1)=283`
`pi_(1)=105.3`,`T_(2)=298`
Now, `pi=n/V(RT)`
At `T_(1)`, `200= n/V_(1)( R) xx 283` ….(i)
At `T_(2), 50= n/V_(2)( R) xx 293` ….(ii)
Dividing Eq.(i) by Eq. (ii), we get
`200/105.3 =V_(2)/V_(1) xx 283/298 rArr V_(2) = 2V_(1)`
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