The standard reaction free energy AGO = -1378. kJ for this reaction: 2 CH3OH(g) + 3O₂(g) →2 CO₂(g) + 4H₂O(g) Use this information to complete the table below. Round each of your answers to the nearest kJ. reaction CO₂(g) + H₂O(g) → CH₂OH(g) + O₂(g) CH₂OH(g) + O₂(g) → CO₂(g) + H₁₂0 (g) - 2CO₂(g) + 4H₂O(g) → 2CH₂OH(g) + 30₂(g) AGº kJ x10 X S

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**Standard Reaction Free Energy Calculation**

The standard reaction free energy \( \Delta G^0 = -1378 \, \text{kJ} \) for the following reaction:

\[ 2 \, \text{CH}_3\text{OH(g)} + 3 \, \text{O}_2\text{(g)} \rightarrow 2 \, \text{CO}_2\text{(g)} + 4 \, \text{H}_2\text{O(g)} \]

Use this information to complete the table below. Round each of your answers to the nearest kJ.

| Reaction                                                                                         | \( \Delta G^0 \)    |
|--------------------------------------------------------------------------------------------------|---------------------|
| \( \frac{1}{2} \, \text{CO}_2\text{(g)} + \text{H}_2\text{O(g)} \rightarrow \frac{1}{2} \, \text{CH}_3\text{OH(g)} + \frac{3}{4} \, \text{O}_2\text{(g)} \) | \(\boxed{} \, \text{kJ}\) |
| \( \frac{2}{3} \, \text{CH}_3\text{OH(g)} + \text{O}_2\text{(g)} \rightarrow \frac{2}{3} \, \text{CO}_2\text{(g)} + \frac{4}{3} \, \text{H}_2\text{O(g)} \) | \(\boxed{} \, \text{kJ}\) |
| \( 2 \, \text{CO}_2\text{(g)} + 4 \, \text{H}_2\text{O(g)} \rightarrow 2 \, \text{CH}_3\text{OH(g)} + 3 \, \text{O}_2\text{(g)} \)                        | \(\boxed{} \, \text{kJ}\) | 

**Diagram Explanation:**
There is a small diagram to the right, which represents some user interface components designed for interaction, possibly intended for input or calculation. It includes a checkbox labeled "×10" and buttons for canceling and resetting actions. However, the diagram is not relevant to the chemical reaction information provided.
Transcribed Image Text:**Standard Reaction Free Energy Calculation** The standard reaction free energy \( \Delta G^0 = -1378 \, \text{kJ} \) for the following reaction: \[ 2 \, \text{CH}_3\text{OH(g)} + 3 \, \text{O}_2\text{(g)} \rightarrow 2 \, \text{CO}_2\text{(g)} + 4 \, \text{H}_2\text{O(g)} \] Use this information to complete the table below. Round each of your answers to the nearest kJ. | Reaction | \( \Delta G^0 \) | |--------------------------------------------------------------------------------------------------|---------------------| | \( \frac{1}{2} \, \text{CO}_2\text{(g)} + \text{H}_2\text{O(g)} \rightarrow \frac{1}{2} \, \text{CH}_3\text{OH(g)} + \frac{3}{4} \, \text{O}_2\text{(g)} \) | \(\boxed{} \, \text{kJ}\) | | \( \frac{2}{3} \, \text{CH}_3\text{OH(g)} + \text{O}_2\text{(g)} \rightarrow \frac{2}{3} \, \text{CO}_2\text{(g)} + \frac{4}{3} \, \text{H}_2\text{O(g)} \) | \(\boxed{} \, \text{kJ}\) | | \( 2 \, \text{CO}_2\text{(g)} + 4 \, \text{H}_2\text{O(g)} \rightarrow 2 \, \text{CH}_3\text{OH(g)} + 3 \, \text{O}_2\text{(g)} \) | \(\boxed{} \, \text{kJ}\) | **Diagram Explanation:** There is a small diagram to the right, which represents some user interface components designed for interaction, possibly intended for input or calculation. It includes a checkbox labeled "×10" and buttons for canceling and resetting actions. However, the diagram is not relevant to the chemical reaction information provided.
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