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

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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
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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