A chemist fills a reaction vessel with 5.11 atm hydrogen (H₂) gas, 7.85 atm Oxygen (0₂) gas, and 4.58 atm water (H₂O) gas at a temperature of 25.0°C. Under these conditions, calculate the reaction free energy AG for the following chemical reaction: 2H₂(g) + O₂(g) → 2H₂O(g) Use the thermodynamic information in the ALEKS Data tab. Round your answer to the nearest kilojoule. kJ X olo Ar
A chemist fills a reaction vessel with 5.11 atm hydrogen (H₂) gas, 7.85 atm Oxygen (0₂) gas, and 4.58 atm water (H₂O) gas at a temperature of 25.0°C. Under these conditions, calculate the reaction free energy AG for the following chemical reaction: 2H₂(g) + O₂(g) → 2H₂O(g) Use the thermodynamic information in the ALEKS Data tab. Round your answer to the nearest kilojoule. kJ X olo Ar
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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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### Calculating Reaction Free Energy Under Specified Conditions
In this exercise, you will learn how to calculate the reaction free energy (ΔG) for a chemical reaction using given conditions. This is crucial for understanding the spontaneity of chemical reactions.
#### Problem Statement
A chemist fills a reaction vessel with:
- **5.11 atm** of hydrogen (\(H_2\)) gas
- **7.85 atm** of oxygen (\(O_2\)) gas
- **4.58 atm** of water (\(H_2O\)) gas
The temperature of the system is maintained at **25.0°C**.
The task is to calculate the reaction free energy (ΔG) for the following chemical reaction:
\[ 2H_2(g) + O_2(g) \leftrightarrow 2H_2O(g) \]
Use the thermodynamic information provided in the ALEKS Data tab to calculate the answer, and round your answer to the nearest kilojoule.
#### Steps to Calculate Reaction Free Energy (ΔG)
1. **Identify Given Data:**
- Partial pressure of \(H_2\): 5.11 atm
- Partial pressure of \(O_2\): 7.85 atm
- Partial pressure of \(H_2O\): 4.58 atm
- Temperature: 25.0°C
2. **Determine Reaction Quotient (Q):**
Use the given partial pressures to calculate the reaction quotient \(Q\).
3. **Use Thermodynamic Data:**
Refer to the ALEKS Data tab for standard Gibbs free energy change values for the substances involved and the reaction.
4. **Calculate \(ΔG\):**
Utilize the formula:
\[
ΔG = ΔG° + RT \ln(Q)
\]
where:
- \(ΔG°\) is the standard Gibbs free energy change
- \(R\) is the universal gas constant (8.314 J/mol·K)
- \(T\) is the temperature in Kelvin
5. **Convert Temperature to Kelvin:**
\[
T(K) = 25.0°C + 273.15 = 298.15 K
\]
6. **Plug in Values and Solve:**
Insert all values into the equation and solve for \(ΔG\), rounding to the nearest kiloj](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9aefb8e-0e61-429a-9e9e-42e0be9cb154%2F66e1c0e5-84fe-4090-b97f-453402fb28b7%2Fmv02cy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating Reaction Free Energy Under Specified Conditions
In this exercise, you will learn how to calculate the reaction free energy (ΔG) for a chemical reaction using given conditions. This is crucial for understanding the spontaneity of chemical reactions.
#### Problem Statement
A chemist fills a reaction vessel with:
- **5.11 atm** of hydrogen (\(H_2\)) gas
- **7.85 atm** of oxygen (\(O_2\)) gas
- **4.58 atm** of water (\(H_2O\)) gas
The temperature of the system is maintained at **25.0°C**.
The task is to calculate the reaction free energy (ΔG) for the following chemical reaction:
\[ 2H_2(g) + O_2(g) \leftrightarrow 2H_2O(g) \]
Use the thermodynamic information provided in the ALEKS Data tab to calculate the answer, and round your answer to the nearest kilojoule.
#### Steps to Calculate Reaction Free Energy (ΔG)
1. **Identify Given Data:**
- Partial pressure of \(H_2\): 5.11 atm
- Partial pressure of \(O_2\): 7.85 atm
- Partial pressure of \(H_2O\): 4.58 atm
- Temperature: 25.0°C
2. **Determine Reaction Quotient (Q):**
Use the given partial pressures to calculate the reaction quotient \(Q\).
3. **Use Thermodynamic Data:**
Refer to the ALEKS Data tab for standard Gibbs free energy change values for the substances involved and the reaction.
4. **Calculate \(ΔG\):**
Utilize the formula:
\[
ΔG = ΔG° + RT \ln(Q)
\]
where:
- \(ΔG°\) is the standard Gibbs free energy change
- \(R\) is the universal gas constant (8.314 J/mol·K)
- \(T\) is the temperature in Kelvin
5. **Convert Temperature to Kelvin:**
\[
T(K) = 25.0°C + 273.15 = 298.15 K
\]
6. **Plug in Values and Solve:**
Insert all values into the equation and solve for \(ΔG\), rounding to the nearest kiloj
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