A reaction A(aq)+B(aq) = C(aq) has a standard free-energy change of -5.18 kJ/mol at 25 °C. What are the concentrations of A, B, and C at equilibrium if, at the beginning of the reaction, their concentrations are 0.30 M, 0.40 M, and 0 M, respectively?
A reaction A(aq)+B(aq) = C(aq) has a standard free-energy change of -5.18 kJ/mol at 25 °C. What are the concentrations of A, B, and C at equilibrium if, at the beginning of the reaction, their concentrations are 0.30 M, 0.40 M, and 0 M, respectively?
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
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![### Understanding Equilibrium Concentrations in a Chemical Reaction
In an educational discussion on chemical reactions, consider the following reaction:
\[ A(aq) + B(aq) \leftrightarrow C(aq) \]
This reaction has a standard free-energy change (\(\Delta G^\circ\)) of -5.18 kJ/mol at 25 °C.
### Objective
Calculate the concentrations of A, B, and C at equilibrium, given the initial concentrations:
- [A] = 0.30 M
- [B] = 0.40 M
- [C] = 0 M
### Information Provided
1. **Standard Free-Energy Change**: \(\Delta G^\circ = -5.18\) kJ/mol
2. **Initial Concentrations**:
- \([A] = 0.30\) M
- \([B] = 0.40\) M
- \([C] = 0\) M
### Equilibrium Concentrations Calculation
To find the equilibrium concentrations of A, B, and C, we need to set up and solve the equilibrium expressions. Let \(x\) be the change in molarity for the reactants and products as the system reaches equilibrium:
- For A: \([A]\) at equilibrium = \(0.30 - x\)
- For B: \([B]\) at equilibrium = \(0.40 - x\)
- For C: \([C]\) at equilibrium = \(x\)
### Provide Your Answers
Enter the equilibrium concentrations in the spaces provided below:
\[ \big[ A \big] = \_\_\_\_\_\_ \text{ M} \]
\[ \big[ B \big] = \_\_\_\_\_\_ \text{ M} \]
\[ \big[ C \big] = \_\_\_\_\_\_ \text{ M} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f33cc2f-0221-41a8-a3a2-cc96bc7960a2%2F892e494b-23bf-45f0-a3f7-522b082d8e09%2Foganfj_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Equilibrium Concentrations in a Chemical Reaction
In an educational discussion on chemical reactions, consider the following reaction:
\[ A(aq) + B(aq) \leftrightarrow C(aq) \]
This reaction has a standard free-energy change (\(\Delta G^\circ\)) of -5.18 kJ/mol at 25 °C.
### Objective
Calculate the concentrations of A, B, and C at equilibrium, given the initial concentrations:
- [A] = 0.30 M
- [B] = 0.40 M
- [C] = 0 M
### Information Provided
1. **Standard Free-Energy Change**: \(\Delta G^\circ = -5.18\) kJ/mol
2. **Initial Concentrations**:
- \([A] = 0.30\) M
- \([B] = 0.40\) M
- \([C] = 0\) M
### Equilibrium Concentrations Calculation
To find the equilibrium concentrations of A, B, and C, we need to set up and solve the equilibrium expressions. Let \(x\) be the change in molarity for the reactants and products as the system reaches equilibrium:
- For A: \([A]\) at equilibrium = \(0.30 - x\)
- For B: \([B]\) at equilibrium = \(0.40 - x\)
- For C: \([C]\) at equilibrium = \(x\)
### Provide Your Answers
Enter the equilibrium concentrations in the spaces provided below:
\[ \big[ A \big] = \_\_\_\_\_\_ \text{ M} \]
\[ \big[ B \big] = \_\_\_\_\_\_ \text{ M} \]
\[ \big[ C \big] = \_\_\_\_\_\_ \text{ M} \]
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