The relationship between osmotic pressure at 273 K when 10 g glucose (P1), 10 g urea (P2) and 10 g sucrose (P3) are dissolved in 250 ml of water is

Osmotic pressure = i CRTwhere C = Molarity of the solution i = number of particles after dissociation (or) associationOsmotic pressure ∞ Molarity(1) 10 gms of C6H12O6 : i = 1 (2) 10 gms of NH2CONH2: i = 1 (3) 10 gms of C12H22O11: i = 1 M2 > M1 > M3P2 > P1 >P3When mass of different nonvolatile non electrolytes in same amount of solvent is same magnitude of colligative property is inversely proportional to molar mass of non volatile solute

The relationship between osmotic pressure at 273 K when 10 g glucose (P1), 10 g urea (P2) and 10 g sucrose (P3) are dissolved in 250 ml of water is

Osmotic pressure = i CRTwhere C = Molarity of the solution i = number of particles after dissociation (or) associationOsmotic pressure ∞ Molarity(1) 10 gms of C6H12O6 : i = 1 (2) 10 gms of NH2CONH2: i = 1 (3) 10 gms of C12H22O11: i = 1 M2 > M1 > M3P2 > P1 >P3When mass of different nonvolatile non electrolytes in same amount of solvent is same magnitude of colligative property is inversely proportional to molar mass of non volatile solute

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The relationship between osmotic pressure at 273 K when 10 g glucose (P₁), 10 g urea (P₂) and 10 g sucrose (P₃) are dissolved in 250 ml of water is

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P₃ > P₁ > P₂

P₂ > P₃ > P₁

P₂ > P₁ > P₃

P₁ > P₂ > P₃

answer is C.

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Detailed Solution

Osmotic pressure = i CRT

where C = Molarity of the solution

i = number of particles after dissociation (or) association

Osmotic pressure $\infty$ Molarity

(1) 10 gms of C₆H₁₂O₆ : i = 1

\large M_1 = \frac{10}{180}X\frac{1000}{250}=4(\frac{10}{180})

(2) 10 gms of NH₂CONH₂: i = 1

\large M_2 = \frac{10}{60}X\frac{1000}{250}=4(\frac{10}{60})

(3) 10 gms of C₁₂H₂₂O₁₁: i = 1

\large M_3 = \frac{10}{342}X\frac{1000}{250}=4(\frac{10}{342})

M₂> M₁> M₃

P₂> P₁>P₃

When mass of different nonvolatile non electrolytes in same amount of solvent is same magnitude of colligative property is inversely proportional to molar mass of non volatile solute

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