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Out of the following 1.0 M aqueous solution, which one will show the largest freezing point depression?

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प्रश्न

Out of the following 1.0 M aqueous solution, which one will show the largest freezing point depression?

विकल्प

  • NaCl

  • Na2SO4

  • C6H12O6

  • Al2(SO4)3

MCQ
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उत्तर

Al2(SO4)3

Explanation:

Freezing point depression is given by the formula;

ΔTf = i × Kb × m

Where, ΔTf = Freezing point depression

Tf = Freezing point of the solution (°C)

i = ionization or van't Hoff factor

Kf = cryoscopic constant (°C/m)

m = molality (mol/kg)

Let's check for each option one by one.

(1) \[\ce{KCl_{(aq)} <=> K^+_{ (aq)} + Cl^-_{ (aq)}}\]

total ions = 2 thus, i = 2

(2) Glucose is non-electrolyte, so it does not dissociate into ions.

\[\ce{C6H12O6 <=> no ions}\] [i = 0]

(3) \[\ce{Al2(SO4)3_{(aq)} <=> 2Al^{3+} + 3SO^{2-}_4}\]

total ions = 5 thus, i = 5

(4) \[\ce{K2SO4_{ (aq)} <=> 2K^+ + SO^{2-}_4}\]

total ions = 3 thus, i = 3

Hence, Al2(SO4)3 will exhibit the largest freezing point depression due to the highest value of i.

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2022-2023 (March) Delhi Set 3

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