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15.8 Complex Ion Equilibria Demo: Cu2+(aq) + 2OH-(aq) Cu(OH)2(ppt.) white Cu(OH)2 + 4 NH3(aq) Cu(NH3)42+ + 2OHCharged species consisting of a metal ion surrounded by ligands (a Lewis Base). Have lone pair of electrons to donate. Examples: H2O, NH3, Cl-, CNNumber of ligands is refered to as the coordination number: Ex. Co(H 2O)62+, Coordination number of 6 Equilibria: Kf formation constant (stability constant) Ex. Ag+ + NH3 Ag(NH3)+ K1= 2.1x103 Ag(NH3)+ + NH3 Ag(NH3)2+ K2= 8.2x103 In Equilibria: Concentrations of [Ag(NH3)2+] >> [Ag(NH3)+], NH3, Ag+ Sample Problem: 100.0 ml of 2.0 M NH3 is added to 100.0ml of 1.0x10-3M AgNO3: What species are present? Ag+, NO3-, NH3, and H2O What chemistry occurs? reaction of Ag+ + 2 NH3 Ag(NH3)2+ Stoichiometry Reaction: Ag+ + [5.0x10-4] -5.0x10-4 [0] 2 NH3 [1.0] -2(5.0x10-4) [1.0] Ag(NH3)2+ +5.0x10-4 [5.0x10-4] Equilibrium Calculations: K2 K1 [ Ag ( NH 3 ) 2 ] [ Ag ( NH 3 ) ][ NH 3 ] [ Ag ( NH 3 ) ] [5.0 x10 4 ] , x= Ag(NH3)+ =6.1x10-8 mol/L [ x][1.0] [6.1x10 8 ] , x= Ag+ = 2.9x10-11 mol/L [ x][1.0] [ Ag ][ NH 3 ] Major species is Ag(NH3)2+ Complex Ion Solubility: Group I cations; Ag+, Hg22+, Pb2+ Chloride precipitates all as AgCl, Hg2Cl2, PbCl2 Pb is moderately soluble in hot water NH3 selectively separates Ag+ as Ag(NH3)+ AgCl Ag+ + Cl- , Ksp = 1.6x10-10, NH3 removes Ag to drive equilibrium to the right and increase solubility of AgCl. Ag+ + NH3 Ag(NH3)+ K1= 2.1x103 Ag(NH3)+ + NH3 Ag(NH3)2 K2= 8.2x103 Overall reaction: AgCl + 2NH3 Ag(NH3)2+ + ClK= Ksp x K1 x K2 = 2.8x10-3 = [ Ag ( NH 3 ) 2 ][Cl ] [ NH 3 ] 2 Determine Solubility of AgCl in water: AgCl Ag+ + Cl-, Ksp = 1.6x10-10, x= solubility = [Ag+] = 1.3x10-5 mol/L Calculate Solubility of AgCl in 10.0 M NH3: AgCl + 2NH3 Ag(NH3)2+ + ClK= Ksp x K1 x K2 = 2.8x10-3 = AgCl K + [ Ag ( NH 3 ) 2 ][Cl ] [ NH 3 ] 2 2NH3 10.0 -2x [10-2x] [ NH 3 ] 2 Ag(NH3)2+ + +x [x] [ x][ x] [10 2 x] [ Ag ( NH 3 ) 2 ][Cl ] 2 Cl+x [x] Perfect square solution: K 2.8 x10 3 x , x 0.48 (10 2 x) Summary of Solubility: o o o Solubility of salts with conjugate base increases with H+, lower pH. Solubility of metal ions that form complex ions increases in combination with ligand. Solubility increases with temperature. Selected Problems: P. 744 #105, 106, 107, 108, 109, 111, 112, 113