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

Original solution : `(500)/(760)xxV_(1)=(w)/(m)xxSxx283`....(i)
After dilution : `(105.3)/(760)xxV_(2)=(w)/(m)xxSxx298` ....(ii)
or `(V_(2))/(V_(1))xx(105.3)/(500)=(298)/(283)`
or `(V_(2))/(V_(1))=(298)/(283)xx(500)/(105.3)=5`
i.e., the solution is diluted to the extent that `V_(2)` is five times the original volume `(V_(1))`.]