Find the degree of dissociation when 0.02 M aqueous Al2(SO4)3 solution having elevation of boiling point of 0.04k the molal elevation constant for solvent is 1.9k kg mol-¹
Answers
degree of dissociation is 1.31% (approximately).
first we have to find Van't Hoff factor , i
using formula, ∆T_b = i × K_e × m
where ∆T_b is elevation in boiling point, K_e is molal elevation constant and m is molality.
here, ∆T_b = 0.04K, K_e = 1.9 K kg/mol
and molality, m = 0.02m
now, 0.04 = i × 1.9 × 0.02
⇒i = 2/1.9 = 1.0526
dissociation of Al2(SO4)3 ;
Al2(SO4)3 ⇔2Al³+ + 3SO4²-
at t = 0, α 0. 0
at eq 1 - α 2α 3α
so, i = 1 - α + 2α + 3α = 1 + 4α
⇒1.0526 = 1 + 4α
⇒α = 0.0526/4 ≈ 0.0131
hence, % degree of dissociation = 100α= 1.31 %
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