1.

At `20^(@)C`, the osmotic pressure of urea solution is `400 mm`. The solution is diluted and the temperature is raised to `35^(@)C`, when the osmotic pressureis found to be `105.3 mm`. Determine extent of dilution.

Answer» For initial solution,
`pi = (400)/(760)atm, T = 293 K`
`(400)/(760) xx V_(1) = n xx S xx 293` …(i)
After dilution, let volume becomes `V_(2)` and temperature is raised to `35^(@)C`, i.e., `308 K`.
and `pi = (105.3)/(760)atm`
`(105.3)/(760) xx V_(2) = n xx S xx 308` ...(2)
By eqs. (1) and (2), we get
`(V_(1))/(V_(2)) = (293)/(308) xx (105.3)/(400)`
`(V_(1))/(V_(2)) = (1)/(4)`
or `V_(2) = 4V_(1)`
i.e., Solution was diluted to `4` times.


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