6.81 Compounds with carbon-carbon double bonds, such as ethylene, C,H4, add hydrogen in a reaction called hydrogenation. C,H,(g) + H2(g) → C,H(g) Calculate the enthalpy change for this reaction, using the following combustion data: C,H(g) + 30,(g) → 2CO,(g) + 2H,O(/);| AH = -1411 kJ | C,H.(g) + ¿0,(g) 2CO,(g) + 3H,O(1); AH = –1560 kJ H,(g) + 0,(g) –→ H,O(1); AH = -286 kJ

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### Hydrogenation Reaction and Enthalpy Calculation

**Hydrogenation of Ethylene:**

Compounds with carbon–carbon double bonds, such as ethylene (C₂H₄), undergo a reaction called hydrogenation where they add hydrogen (H₂) to form ethane (C₂H₆):

\[ \text{C}_2\text{H}_4(g) + \text{H}_2(g) \rightarrow \text{C}_2\text{H}_6(g) \]

**Objective:**

Calculate the enthalpy change (ΔH) for the hydrogenation reaction using the provided combustion data.

**Combustion Data:**

1. **Combustion of Ethylene:**

   \[ \text{C}_2\text{H}_4(g) + 3\text{O}_2(g) \rightarrow 2\text{CO}_2(g) + 2\text{H}_2\text{O}(l) \]

   \[ \Delta H = -1411 \, \text{kJ} \]

2. **Combustion of Ethane:**

   \[ \text{C}_2\text{H}_6(g) + \frac{7}{2}\text{O}_2(g) \rightarrow 2\text{CO}_2(g) + 3\text{H}_2\text{O}(l) \]

   \[ \Delta H = -1560 \, \text{kJ} \]

3. **Combustion of Hydrogen:**

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

   \[ \Delta H = -286 \, \text{kJ} \]

**Explanation:**

This section provides the chemical equations and associated enthalpy changes for the combustion reactions of ethylene, ethane, and hydrogen. To find the enthalpy change of the hydrogenation reaction, apply Hess's Law using the given values.
Transcribed Image Text:### Hydrogenation Reaction and Enthalpy Calculation **Hydrogenation of Ethylene:** Compounds with carbon–carbon double bonds, such as ethylene (C₂H₄), undergo a reaction called hydrogenation where they add hydrogen (H₂) to form ethane (C₂H₆): \[ \text{C}_2\text{H}_4(g) + \text{H}_2(g) \rightarrow \text{C}_2\text{H}_6(g) \] **Objective:** Calculate the enthalpy change (ΔH) for the hydrogenation reaction using the provided combustion data. **Combustion Data:** 1. **Combustion of Ethylene:** \[ \text{C}_2\text{H}_4(g) + 3\text{O}_2(g) \rightarrow 2\text{CO}_2(g) + 2\text{H}_2\text{O}(l) \] \[ \Delta H = -1411 \, \text{kJ} \] 2. **Combustion of Ethane:** \[ \text{C}_2\text{H}_6(g) + \frac{7}{2}\text{O}_2(g) \rightarrow 2\text{CO}_2(g) + 3\text{H}_2\text{O}(l) \] \[ \Delta H = -1560 \, \text{kJ} \] 3. **Combustion of Hydrogen:** \[ \text{H}_2(g) + \frac{1}{2}\text{O}_2(g) \rightarrow \text{H}_2\text{O}(l) \] \[ \Delta H = -286 \, \text{kJ} \] **Explanation:** This section provides the chemical equations and associated enthalpy changes for the combustion reactions of ethylene, ethane, and hydrogen. To find the enthalpy change of the hydrogenation reaction, apply Hess's Law using the given values.
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