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_(2) gt p_(1) p_(3)`
B. `p_(2) gt p_(3) gt p_(1)`
C. `p_(1)gt p_(2) gt_(1)`
D. `p_(3) gt p_(1) gt p_(2)`

Answer

C

Explanation

Vapour pressure of pure solvent `(P_(A)) = 143` mm Hg, weight of solute (w) = `0.5` gram , weight of solvent (W) = 100 grams , molecular weight of solute (m) = 65 and molecular weight of solvent (M) = 154.
`(P_(A)-P)/(P-(A)) = (wM)/(mW) or (143 -P)/143 = (0.5 xx154)/(65 xx 100) = 0.01 `
or `P = 141.31 ` mm Hg