First slide

Theory of dilute solutions

Question

10.0 g of glucose ( $π_{1}$ ), 10.0 g of urea ( $π_{2}$ ), and 10.0 g of sucrose ( $π_{3}$ ) are dissolved in 250.0 mL of water at 273 K ( $π$ = osmotic pressure of a solution). The relationship between the osmotic pressure of the solutions is

Moderate

A

$π_{1} > π_{2} > π_{3}$
B

$π_{3} > π_{1} > π_{2}$
C

$π_{2} > π_{1} > π_{3}$
D

$π_{2} > π_{3} > π_{1}$

Solution

$π = C_{e f f e c t i v e} R T; C h e c k y o u r s e l f t h a t n_{s u c r o s e} < n_{g l u \cos e} < n_{u r e a} (M w = 342) (M w = 180) (M w = 60) (π_{3} < π_{1} < π_{2}) or ((π_{2} > π_{1} > π_{3})$

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