At `10^(@)C`, the osmotic pressure of urea solution is `500 mm`.The solution is diluted and the temperature is raised to `25^(@)C`.when the osmotic pressure is found to be `105.3 mm`. Determine the extent of dilution.

Explanation

Suppose `V_(1)` litres of the solution contains n moles of the solute at `10^(@)C` which was diluted to `V_(2)` litres at `25^(@)C`.
Thus we have,
`{:(,,(500)/(760)=(n)/(V_(1))xx0.082xx283),("and",,(105.3)/(760)=(n)/(V_(2))xx0.082xx298):}`
Dividing (1) by (2), we get
`(V_(2))/(V_(1))=5`
Thus the solution was diluted 5 times