Osmotic pressure of a urea solution at `10^(@)C` is 500 mm. Osmotic pressure of the solution become 105.3 mm. When it is diluted and temperature raised to `25^(@)C`.The extent of dilution is

Options

A. 4 times
B. 3 times
C. 5times
D. 2 times

Answer

C

Explanation

`piV=nRTrArr(500V_(1))/(105.3V_(2))=(nRxx283)/(nrxx298)`
`rArr(V_(1))/(V_(2))=(1)/(5)orV_(2)-5V_(1)`