Osmotic pressure of urea solution at `10^@C` is 500 mm. The solution is diluted with temperature raised to `25^@C` till its osmotic pressure becomes 131.6 mm. The solution is diluted

Options

A. 3 times
B. 3.5 times
C. 4 times
D. 3.8 times

Answer

C

Explanation

`pi =n/V RT`
Before dilution `500/760 =n/V_1 xx 0.0821xx283` ... (1)
after dilution `131.6/760 = n/V_2 xx0.0821 x× 298` ... (ii)
Dividing (i) by (ii),`V_2/V_1 = 500/(131.6)xx298/283 = 4 implies V_2 =4V_1`