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

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question
**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.
Transcribed Image Text:**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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Ionic Equilibrium
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY