Find AG for the following reaction, using AH and S ° values. H2(g) + I2(s) → 2 HI(g) kJ

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Title: Calculating ΔG° for a Chemical Reaction

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**Find ΔG° for the following reaction, using ΔH°f and S° values.**

\[ \text{H}_2(\text{g}) + \text{I}_2(\text{s}) \rightarrow 2 \text{HI}(\text{g}) \]

\[ \boxed{\ \ \ \ \ } \text{kJ} \]

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### Explanation:

To calculate the standard Gibbs free energy change (ΔG°) for a chemical reaction, you will need to use standard enthalpy of formation (ΔH°f) and standard entropy (S°) values. The relationship between these thermodynamic quantities is given by the Gibbs free energy equation:

\[ ΔG° = ΔH° - TΔS° \]

Where:
- **ΔG°**: Standard Gibbs free energy change.
- **ΔH°**: Standard enthalpy change.
- **T**: Absolute temperature in Kelvin.
- **ΔS°**: Standard entropy change.

**Step-by-Step Process:**

1. **Determine the ΔH°f and S° values**: Look up the standard enthalpy of formation and the standard entropy for all reactants and products in a standard reference table.

2. **Calculate ΔH°**: Use the enthalpy values to find the enthalpy change of the reaction.
   
   \[ ΔH° = Σ ΔH°f \text{(products)} - Σ ΔH°f \text{(reactants)} \]

3. **Calculate ΔS°**: Use the entropy values to find the entropy change of the reaction.

   \[ ΔS° = Σ S° \text{(products)} - Σ S° \text{(reactants)} \]

4. **Insert values into the Gibbs free energy equation** to find ΔG°.

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### Notes:

- Make sure to convert temperature to Kelvin (K): \( T (K) = T (°C) + 273.15 \).
- Ensure consistency in units when performing calculations, particularly for energy (Joules or kilojoules) and entropy (J/K).

### Example Problem:

Given hypothetical values for this reaction:

- \( ΔH°f[\text{H}_2(\text{g})] = 0 \ \text{kJ/mol} \)
- \( ΔH°
Transcribed Image Text:Title: Calculating ΔG° for a Chemical Reaction --- **Find ΔG° for the following reaction, using ΔH°f and S° values.** \[ \text{H}_2(\text{g}) + \text{I}_2(\text{s}) \rightarrow 2 \text{HI}(\text{g}) \] \[ \boxed{\ \ \ \ \ } \text{kJ} \] --- ### Explanation: To calculate the standard Gibbs free energy change (ΔG°) for a chemical reaction, you will need to use standard enthalpy of formation (ΔH°f) and standard entropy (S°) values. The relationship between these thermodynamic quantities is given by the Gibbs free energy equation: \[ ΔG° = ΔH° - TΔS° \] Where: - **ΔG°**: Standard Gibbs free energy change. - **ΔH°**: Standard enthalpy change. - **T**: Absolute temperature in Kelvin. - **ΔS°**: Standard entropy change. **Step-by-Step Process:** 1. **Determine the ΔH°f and S° values**: Look up the standard enthalpy of formation and the standard entropy for all reactants and products in a standard reference table. 2. **Calculate ΔH°**: Use the enthalpy values to find the enthalpy change of the reaction. \[ ΔH° = Σ ΔH°f \text{(products)} - Σ ΔH°f \text{(reactants)} \] 3. **Calculate ΔS°**: Use the entropy values to find the entropy change of the reaction. \[ ΔS° = Σ S° \text{(products)} - Σ S° \text{(reactants)} \] 4. **Insert values into the Gibbs free energy equation** to find ΔG°. --- ### Notes: - Make sure to convert temperature to Kelvin (K): \( T (K) = T (°C) + 273.15 \). - Ensure consistency in units when performing calculations, particularly for energy (Joules or kilojoules) and entropy (J/K). ### Example Problem: Given hypothetical values for this reaction: - \( ΔH°f[\text{H}_2(\text{g})] = 0 \ \text{kJ/mol} \) - \( ΔH°
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