Calculate the equilibrium concentrations of NH₃, Cu²⁺, Cu(NH₃)²⁺, Cu(NH₃)₂²⁺, Cu(NH₃)₃²⁺, and Cu(NH₃)₄²⁺ in a solution prepared by mixing 500.0 mL of 3.00 M NH₃ with 500.0 mL of 2.00 × 10^-3 M Cu(NO₃)₂. The stepwise equilibria are

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Cu²+ (aq) + NH3(aq) CUNH3²+ (aq) + NH3(aq) —Cu(NH3)₂²+ (aq) CuNH32+ (aq) 2+ K₁ = 1.86 x 104 2+ K₂ Cu(NH3)22+ (aq) + NH3(aq) —Cu(NH3)3²+ (aq) = 3.88 × 10³ K3= 1.00 x 10³ Cu(NH3)3²+ (aq) + NH3(aq) —Cu(NH3)4²+ (aq) K4 = 1.55 X 10²