cell A B C n 1 1 1 calculated quantities (Check the box next to any that are wrong.) 0 AGⓇ -81. kJ/mol -80. kJ/mol 145. kJ/mol K 6.45 × 10 14 1.04 X 10 -15 25 2.53 × 10 0 E -0.84 V -0.83 V -1.50 V O O O

Chemistry
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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...
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A student made measurements on some electrochemical cells and calculated three quantities:

- The standard reaction free energy \( \Delta G^0 \).
- The equilibrium constant \( K \) at 25.0 \( ^\circ C \).
- The cell potential under standard conditions \( E^0 \).

His results are listed below.

Unfortunately, the student may have made some mistakes. Examine his results carefully and tick the box next to the incorrect quantity in each row, if any.

**Note:** If there is a mistake in a row, only one of the three quantities listed is wrong. Also, you may assume the number of significant digits in each quantity is correct.

**Also note:** for each cell, the number \( n \) of electrons transferred per redox reaction is 1.
Transcribed Image Text:A student made measurements on some electrochemical cells and calculated three quantities: - The standard reaction free energy \( \Delta G^0 \). - The equilibrium constant \( K \) at 25.0 \( ^\circ C \). - The cell potential under standard conditions \( E^0 \). His results are listed below. Unfortunately, the student may have made some mistakes. Examine his results carefully and tick the box next to the incorrect quantity in each row, if any. **Note:** If there is a mistake in a row, only one of the three quantities listed is wrong. Also, you may assume the number of significant digits in each quantity is correct. **Also note:** for each cell, the number \( n \) of electrons transferred per redox reaction is 1.
**Transcription and Explanation for Educational Website:**

---

**Note:** For each cell, the number of electrons transferred per redox reaction is 1.

---

### Table: Calculated Quantities

**Instruction:** Check the box next to any quantities that are incorrect.

| **Cell** | **n** | \(\Delta G^{0}\) (kJ/mol) | \(K\)                                   | \(E^{0}\) (V) |
|----------|-------|-----------------------------|-----------------------------------------|---------------|
| A        | 1     | \(-81\)                     | \(6.45 \times 10^{-15}\)                | \(-0.84\)     |
| B        | 1     | \(-80\)                     | \(1.04 \times 10^{14}\)                 | \(-0.83\)     |
| C        | 1     | \(145\)                     | \(2.53 \times 10^{25}\)                 | \(-1.50\)     |

*Note: A checkbox is checked next to \(\Delta G^{0} = -81 \, \text{kJ/mol}\) for Cell A, indicating a potential error in the calculation of this value.*

**Explanation:**

- **\(\Delta G^{0}\)** represents the standard Gibbs free energy change for the reaction in each cell, measured in kilojoules per mole (kJ/mol).
  
- **\(K\)** is the equilibrium constant, indicating the favorability of the reaction under standard conditions.

- **\(E^{0}\)** is the standard cell potential, measured in volts (V), a measure of the electromotive force of the cell.

This table is used to compare the thermodynamic properties of different electrochemical cells and identify any discrepancies in the calculated quantities.
Transcribed Image Text:**Transcription and Explanation for Educational Website:** --- **Note:** For each cell, the number of electrons transferred per redox reaction is 1. --- ### Table: Calculated Quantities **Instruction:** Check the box next to any quantities that are incorrect. | **Cell** | **n** | \(\Delta G^{0}\) (kJ/mol) | \(K\) | \(E^{0}\) (V) | |----------|-------|-----------------------------|-----------------------------------------|---------------| | A | 1 | \(-81\) | \(6.45 \times 10^{-15}\) | \(-0.84\) | | B | 1 | \(-80\) | \(1.04 \times 10^{14}\) | \(-0.83\) | | C | 1 | \(145\) | \(2.53 \times 10^{25}\) | \(-1.50\) | *Note: A checkbox is checked next to \(\Delta G^{0} = -81 \, \text{kJ/mol}\) for Cell A, indicating a potential error in the calculation of this value.* **Explanation:** - **\(\Delta G^{0}\)** represents the standard Gibbs free energy change for the reaction in each cell, measured in kilojoules per mole (kJ/mol). - **\(K\)** is the equilibrium constant, indicating the favorability of the reaction under standard conditions. - **\(E^{0}\)** is the standard cell potential, measured in volts (V), a measure of the electromotive force of the cell. This table is used to compare the thermodynamic properties of different electrochemical cells and identify any discrepancies in the calculated quantities.
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