The relationship between osmotic pressure at `273 K` when `10 g` glucose `(P_(1)), 10 g` urea `(P_(2))` and `10 g` sucrose `(P_(3))` are dissolved in `250 mL` of water is:

Options

A. `P_(1) gt P_(2) gt P_(3)`
B. `P_(3) gt P_(1) gt P_(2)`
C. `P_(2) gt P_(1) gt P_(3)`
D. `P_(2) gt P_(3) gt P_(1)`

Answer

C

Explanation

`pi=iCRT`
`i=1`,for glucose ,urea & sucrose
`:.pi=CRT`
`pi=(w)/(MxxV)RTrArrpiprop(1)/(M)`since w and v are same for all at given temperature.Hence `P_(2)gtP_(1)gtP_(3)( :. M_("urea") lt M_("glucose") lt M_("sucrose"))`