Given the following information: |CH4 (g) + 202 (g) → CO2 (g) + 2H2O (g) AH= -793 kJ 2CO (g) + 2H2 (g) → CH4 (g) + CO2 (g) AH = -101 kJ CH4 (g) + H2O(g) → CO (g) + 3H2 (g) ΔΗ 233 kJ

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## Given Reactions and Enthalpy Changes

**Reaction 1:**
\[ \text{CH}_4 (g) + 2\text{O}_2 (g) \rightarrow \text{CO}_2 (g) + 2\text{H}_2\text{O} (g) \]
\(\Delta H = -793 \, \text{kJ}\)

**Reaction 2:**
\[ 2\text{CO} (g) + 2\text{H}_2 (g) \rightarrow \text{CH}_4 (g) + \text{CO}_2 (g) \]
\(\Delta H = -101 \, \text{kJ}\)

**Reaction 3:**
\[ \text{CH}_4 (g) + \text{H}_2\text{O}(g) \rightarrow \text{CO} (g) + 3\text{H}_2 (g) \]
\(\Delta H = 233 \, \text{kJ}\)

## Problem

Determine \(\Delta H\) (in kJ) for the following reaction:

\[ \text{CH}_4 (g) + \frac{1}{2}\text{O}_2 (g) \rightarrow \text{CO} (g) + 2\text{H}_2 (g) \]

**Instructions:**
Use the information from the given reactions to calculate the enthalpy change for the target reaction by applying Hess's Law.
Transcribed Image Text:## Given Reactions and Enthalpy Changes **Reaction 1:** \[ \text{CH}_4 (g) + 2\text{O}_2 (g) \rightarrow \text{CO}_2 (g) + 2\text{H}_2\text{O} (g) \] \(\Delta H = -793 \, \text{kJ}\) **Reaction 2:** \[ 2\text{CO} (g) + 2\text{H}_2 (g) \rightarrow \text{CH}_4 (g) + \text{CO}_2 (g) \] \(\Delta H = -101 \, \text{kJ}\) **Reaction 3:** \[ \text{CH}_4 (g) + \text{H}_2\text{O}(g) \rightarrow \text{CO} (g) + 3\text{H}_2 (g) \] \(\Delta H = 233 \, \text{kJ}\) ## Problem Determine \(\Delta H\) (in kJ) for the following reaction: \[ \text{CH}_4 (g) + \frac{1}{2}\text{O}_2 (g) \rightarrow \text{CO} (g) + 2\text{H}_2 (g) \] **Instructions:** Use the information from the given reactions to calculate the enthalpy change for the target reaction by applying Hess's Law.
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