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. a) What is the concentration of NH3 in the resulting solution? [NH3] = 47 M b) What is the concentration of Cu(NH3)42+ in the resulting solution? [Cu(NH3)4²+] = [5.3e-2 XM c) What is the concentration of Cu²+ in the resulting solution? [Cu2+] = 5.3e-2 X M
Ionic Equilibrium
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Bronsted Lowry Base In Inorganic Chemistry
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![**Equilibrium Analysis in a Chemical Reaction**
**Consider the following equilibrium:**
\[ \text{Cu}^{2+} (aq) + 4\text{NH}_3 (aq) \rightleftharpoons \text{Cu(NH}_3\text{)}_4^{2+} (aq) \quad (K_f = 4.8 \times 10^{12}) \]
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.
**Questions:**
a) What is the concentration of NH₃ in the resulting solution?
\[ [\text{NH}_3] = 0.47 \, \text{M} \, \text{✔} \]
b) What is the concentration of \(\text{Cu(NH}_3\text{)}_4^{2+}\) in the resulting solution?
\[ [\text{Cu(NH}_3\text{)}_4^{2+}] = 5.3 \times 10^{-2} \, \text{M} \, \text{✘} \]
c) What is the concentration of \(\text{Cu}^{2+}\) in the resulting solution?
\[ [\text{Cu}^{2+}] = 5.3 \times 10^{-2} \, \text{M} \, \text{✘} \]
**Explanation:**
In this analysis, the equilibrium constant \( K_f \) is an indicator of the reaction's favorability towards the product side. The formation of the complex ion \(\text{Cu(NH}_3\text{)}_4^{2+}\) is highly favored given the large value of \( K_f \), meaning that the equilibrium lies far to the right. The questions explore the concentrations of ammonia, the complex ion, and copper ions remaining in the solution after equilibrium is established.
The checkmarks and crosses indicate whether the computed values are correct or incorrect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eeaacd3-f9c7-4223-a8e6-a717e551a98a%2F827894d0-486e-4896-8987-6d17962c8403%2F9ankrfi_processed.png&w=3840&q=75)

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