What is the relation in the osmotic pressure at 273 K when 10 g of glucose `(pi_(1))`, 10 g of urea `(pi_(2))` and 10 g of sucrose `(pi_(3))` are dissolved in 250 mL of water ?

Explanation

All the three solutes (molecular solids) have the same mass (10 g), Osmotic pressure being a collingtive property is directly propertional to the molar concentration of the solute. Thus, greatedr the molar mass of the solute, lesser will be the molar concentration and lesser will be the osmotic pressure `(pi)`. The molar mass of the three solutes are in the order:
`"glucose "(180 g mol^(-1))" urea "(60 g mol^(-1))" and sucrose "342 g mol^(-1))`.
The decreasing order of the osmotic pressures in the three solutions is:
`"urea"(pi_(2))gt"glucose"(pi_(1))gt"sucrose"(pi_(3))`