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To reduce [Cu2+] to 10–12 how much NH3 should be added to a solution of 0.0010 M Cu(NO3)2? Neglect the amount of copper in complexes containing fewer than 4 ammonia molecules per copper atom. (KdCu(NH3)42+ = 1 × 10–12)

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since the sum of the concentration of copper in the complex and in the free ionic state must equal 0.0010 mol/L, and since the amount of the free ion is very small, the concentration of the complex is taken to be 0.0010 mol/L.

The concentration of NH3 at equilibrium is 0.178 mol/L. The amount of NH3 used up in forming 0.0010 mol/L of complex is 0.0040 mol/L, an amount negligible compared with the amount remaining at equilibrium. Hence the amount of NH3 to be added is 0.178 mol/L.

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