Consider the following equilibrium: Cu²+ (aq) + 4NH3(aq) Cu(NH3)4²+ (aq) (Kf = 4.8e+12) A solution is made by mixing 15.0 mL of 0.90 M CuSO4 and 1.00 L of 0.530 M NH3. Assume additive volumes to answer the following questions. Give all answers to three sig figs.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Parts B and C only

Consider the following equilibrium:

\[ \text{Cu}^{2+}_{(\text{aq})} + 4\text{NH}_3_{(\text{aq})} \rightleftharpoons \text{Cu(NH}_3\text{)}_4^{2+}_{(\text{aq})} \quad (K_f = 4.8 \times 10^{12}) \]

A solution is made by mixing 15.0 mL of 0.90 M CuSO₄ and 1.00 L of 0.530 M NH₃. Assume additive volumes to answer the following questions. Give all answers to three significant figures.

a) What is the concentration of NH₃ in the resulting solution?

\[ [\text{NH}_3] = 0.47 \, \text{M} \quad \text{✓} \]

b) What is the concentration of Cu(NH₃)₄²⁺ in the resulting solution?

\[ [\text{Cu(NH}_3\text{)}_4^{2+}] = 1.3 \times 10^{-2} \, \text{M} \quad \text{✗} \]

c) What is the concentration of Cu²⁺ in the resulting solution?

\[ [\text{Cu}^{2+}] = 3.7 \times 10^{-14} \, \text{M} \quad \text{✗} \]
Transcribed Image Text:Consider the following equilibrium: \[ \text{Cu}^{2+}_{(\text{aq})} + 4\text{NH}_3_{(\text{aq})} \rightleftharpoons \text{Cu(NH}_3\text{)}_4^{2+}_{(\text{aq})} \quad (K_f = 4.8 \times 10^{12}) \] A solution is made by mixing 15.0 mL of 0.90 M CuSO₄ and 1.00 L of 0.530 M NH₃. Assume additive volumes to answer the following questions. Give all answers to three significant figures. a) What is the concentration of NH₃ in the resulting solution? \[ [\text{NH}_3] = 0.47 \, \text{M} \quad \text{✓} \] b) What is the concentration of Cu(NH₃)₄²⁺ in the resulting solution? \[ [\text{Cu(NH}_3\text{)}_4^{2+}] = 1.3 \times 10^{-2} \, \text{M} \quad \text{✗} \] c) What is the concentration of Cu²⁺ in the resulting solution? \[ [\text{Cu}^{2+}] = 3.7 \times 10^{-14} \, \text{M} \quad \text{✗} \]
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