Respuesta :
Answer:
% α = 0.1577 %
Explanation:
- H2NNH2(aq) + H2O(l) ↔ H2NNH3+(aq) + OH-(aq)
- 0.5216 - X X X
∴ δH2O = (997 Kg/m³)*(m³/1000 L) = 0.997 Kg/L
∴ C H2NNH2 = (0.520 mol/L)*(L/0.997 Kg) = 0.5216 mol/Kg
∴ Kb = [OH-][H2NNH3+] / [H2NNH2] = 1.3 E-6
- % α = (X/molality)*100......percent ionization
⇒ Kb = (X)*(X) / (0.5216 - X) = X²/(0.5216 - X) = 1.3 E-6
⇒ X² + 1.3 E-6X - 6.78 E-7 = 0
⇒ X = 8.227 E-4
⇒ % α = (8.227 E-4 / 0.5216 )*100
⇒ % α = 0.1577 %
The percent dissociation of hydrazine is 0.16 %.
The dissociation equation is;
H₂NNH₂ + H2O ⇄ H3O^+ + HNNH₂^-
I 0.520 0 0
C -x +x +x
E 0.520 -x x x
Where, Kb = 1.3 × 10⁻⁶
Kb = [x] [x]/[ 1.3 × 10⁻⁶]
1.3 × 10⁻⁶ = x^2/[ 0.520 -x]
1.3 × 10⁻⁶ [ 0.520 -x] = x^2
6.76 × 10⁻7 - 1.3 × 10⁻⁶x = x^2
x^2 + 1.3 × 10^-6x - 6.76 × 10^-7 = 0
x = 0.00082 M
Hence percent dissociation = [HNNH₂^-]/[H₂NNH₂ ] × 100/1
percent dissociation = 0.00082 M/ 0.520 M × 100/1
= 0.16 %
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