Given AH = +90.7 kJ/mol and AS° = +221.0 J/mol K, determine AG for the reaction CH3OH(g) → CO(g) + 2 H₂(g) at 25.0 °C?

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### Thermodynamics Problem

**Question:**

Given:
- ΔH° = +90.7 kJ/mol
- ΔS° = +221.0 J/mol·K

Determine ΔG° for the reaction:

\[ \text{CH}_3\text{OH}(g) \rightarrow \text{CO}(g) + 2 \text{H}_2(g) \]

at 25.0 °C.

**Explanation:**

This problem involves calculating the Gibbs free energy change (ΔG°) for a chemical reaction at a given temperature. The relationship between Gibbs free energy, enthalpy (ΔH°), entropy (ΔS°), and temperature (T) is given by the equation:

\[ \Delta G° = \Delta H° - T\Delta S° \]

Make sure to convert all units consistently, as ΔS° is given in J/mol·K while ΔH° is in kJ/mol.
Transcribed Image Text:### Thermodynamics Problem **Question:** Given: - ΔH° = +90.7 kJ/mol - ΔS° = +221.0 J/mol·K Determine ΔG° for the reaction: \[ \text{CH}_3\text{OH}(g) \rightarrow \text{CO}(g) + 2 \text{H}_2(g) \] at 25.0 °C. **Explanation:** This problem involves calculating the Gibbs free energy change (ΔG°) for a chemical reaction at a given temperature. The relationship between Gibbs free energy, enthalpy (ΔH°), entropy (ΔS°), and temperature (T) is given by the equation: \[ \Delta G° = \Delta H° - T\Delta S° \] Make sure to convert all units consistently, as ΔS° is given in J/mol·K while ΔH° is in kJ/mol.
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