What is the enthalpy change of reaction for the following equation? C,H, (g) + H, (g) -→ C,H, (g) C,H, (g) + 30, (g) –→ 2CO,(g) + 2H,O(1) AH = x 7 C,H, (9) + 0,(9) → 200, (g) + 3H,0 (1) AH = y 0,(0) → H,0(1) H, (g) AH = z A. x + y + z В. -х — у +Z C. x - y - z D. x - y + z

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### Enthalpy Change of Reaction

#### Question:
What is the enthalpy change of reaction for the following equation?

#### Given Chemical Equations:
1. \( \text{C}_2 \text{H}_4(\text{g}) + \text{H}_2(\text{g}) \rightarrow \text{C}_2 \text{H}_6(\text{g}) \)

2. \( \text{C}_2 \text{H}_4(\text{g}) + 3\text{O}_2(\text{g}) \rightarrow 2\text{CO}_2(\text{g}) + 2\text{H}_2 \text{O}(\text{l}) \) \
   \( \Delta H = x \)

3. \( \text{C}_2 \text{H}_6(\text{g}) + \dfrac{7}{2} \text{O}_2(\text{g}) \rightarrow 2\text{CO}_2(\text{g}) + 3\text{H}_2 \text{O}(\text{l}) \) \
   \( \Delta H = y \)

4. \( \text{H}_2(\text{g}) + \dfrac{1}{2} \text{O}_2(\text{g}) \rightarrow \text{H}_2 \text{O}(\text{l}) \) \
   \( \Delta H = z \)

#### Options:
A. \( x + y + z \)

B. \( -x - y + z \)

C. \( x - y - z \)

D. \( x - y + z \)

### Explanation:
Consider the reaction: \( \text{C}_2 \text{H}_4(\text{g}) + \text{H}_2(\text{g}) \rightarrow \text{C}_2 \text{H}_6(\text{g}) \).

We need to find the enthalpy change (\( \Delta H \)) for this reaction. By using Hess's Law, we will consider the given reactions and their enthalpy changes to find the target reaction’s enthalpy change.

### Step-by-Step Solution:

1. We know:
   - \( \text{C}_2 \text{H}_4(\text{g}) \rightarrow 2
Transcribed Image Text:### Enthalpy Change of Reaction #### Question: What is the enthalpy change of reaction for the following equation? #### Given Chemical Equations: 1. \( \text{C}_2 \text{H}_4(\text{g}) + \text{H}_2(\text{g}) \rightarrow \text{C}_2 \text{H}_6(\text{g}) \) 2. \( \text{C}_2 \text{H}_4(\text{g}) + 3\text{O}_2(\text{g}) \rightarrow 2\text{CO}_2(\text{g}) + 2\text{H}_2 \text{O}(\text{l}) \) \ \( \Delta H = x \) 3. \( \text{C}_2 \text{H}_6(\text{g}) + \dfrac{7}{2} \text{O}_2(\text{g}) \rightarrow 2\text{CO}_2(\text{g}) + 3\text{H}_2 \text{O}(\text{l}) \) \ \( \Delta H = y \) 4. \( \text{H}_2(\text{g}) + \dfrac{1}{2} \text{O}_2(\text{g}) \rightarrow \text{H}_2 \text{O}(\text{l}) \) \ \( \Delta H = z \) #### Options: A. \( x + y + z \) B. \( -x - y + z \) C. \( x - y - z \) D. \( x - y + z \) ### Explanation: Consider the reaction: \( \text{C}_2 \text{H}_4(\text{g}) + \text{H}_2(\text{g}) \rightarrow \text{C}_2 \text{H}_6(\text{g}) \). We need to find the enthalpy change (\( \Delta H \)) for this reaction. By using Hess's Law, we will consider the given reactions and their enthalpy changes to find the target reaction’s enthalpy change. ### Step-by-Step Solution: 1. We know: - \( \text{C}_2 \text{H}_4(\text{g}) \rightarrow 2
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