Calculate the value of the equilibrium constant for the reaction below.
Ksp for Ag2S is 6.0 × 10−51...... Kf for Ag(NH3)2+ is 1.7 × 107.
Ag2S(s) + 4 NH3(aq) ↔ 2 Ag(NH3)2+(aq) + S2−(aq)
The equilibrium reaction is:
Ag2S(s) + 4 NH3(aq) ↔ 2 Ag(NH3)22+(aq) + S2−(aq)
Keq = [Ag(NH3)2+]2 [S2−] / [Ag2S] [NH3]4
This equilibrium reaction can be had from other two reactions as:
Ag2S(s) ↔ 2 Ag2+(aq) + S2−(aq)
Ksp = [S2−] [Ag2+]2 / [Ag2S] = 6.0 × 10−51 ========(1)
2Ag2++ 4NH3(aq) ↔ 2Ag(NH3)22+(aq)
Kf = [Ag(NH3)22+]2 /[NH3]4 [Ag22+]2 = 1.7 × 107.==========(2)
Dividing (1) by (II)
Ksp / Kf = [Ag(NH3)2+]2 [S2−] / [Ag2S] [NH3]4 = Keq = 6.0 × 10−51 / 1.7 × 107 = 3.52 X 10−44
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