Using some of the bond energies, calculate AH(in kJ) for the following reaction: CH4 (g) + 202(g) → CO2(g) + 2H₂O(g) You will need to draw the Lewis Structure for the reactant and product molecules to determine which bond energy values to use. C=C 614 kJ/mol O-H 467 kJ/mol C-H= 413 kJ/mol C=C= 839 kJ/mol O-O 204 kJ/mol O=O= 498 kJ/mol C=O=799 kJ/mol C-C = 347 kJ/mol

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Chapter16: Thermodynamics: Directionality Of Chemical Reactions
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### Calculating ΔH for a Chemical Reaction

**Objective:** Using some of the bond energies, calculate ΔH (in kJ) for the following reaction:

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

You will need to draw the Lewis Structure for the reactant and product molecules to determine which bond energy values to use.

#### Bond Energies
- C=C = 614 kJ/mol
- O-H = 467 kJ/mol
- C-H = 413 kJ/mol
- C≡C = 839 kJ/mol
- O=O = 204 kJ/mol
- O=O = 498 kJ/mol
- C=O = 799 kJ/mol
- C-C = 347 kJ/mol

#### Steps for Calculation
1. **Draw the Lewis Structures** for each molecule in the reaction to identify the types and numbers of bonds.
   
2. **Calculate the total bond energy** for bonds broken in the reactants.
3. **Calculate the total bond energy** for bonds formed in the products.
4. **Subtract the bond energies of the products from the bond energies of the reactants** to find the overall ΔH:

\[ \Delta H = \Sigma \text{Bond Energies of Reactants} - \Sigma \text{Bond Energies of Products} \]

#### Example Calculation
**Reactants:**
- **CH4**: 4 C-H bonds
- **2 O2**: 2 O=O bonds

**Products:**
- **CO2**: 2 C=O bonds
- **2 H2O**: 4 O-H bonds

### Bond Energies in the Reaction
- **Reactants:**
  - C-H: 4 × 413 = 1652 kJ/mol
  - O=O: 2 × 498 = 996 kJ/mol
  - Total bond energy for reactants = 1652 + 996 = 2648 kJ/mol

- **Products:**
  - C=O: 2 × 799 = 1598 kJ/mol
  - O-H: 4
Transcribed Image Text:### Calculating ΔH for a Chemical Reaction **Objective:** Using some of the bond energies, calculate ΔH (in kJ) for the following reaction: \[ \text{CH}_4 \text{ (g)} + 2\text{O}_2 \text{ (g)} \rightarrow \text{CO}_2 \text{ (g)} + 2\text{H}_2\text{O} \text{ (g)} \] You will need to draw the Lewis Structure for the reactant and product molecules to determine which bond energy values to use. #### Bond Energies - C=C = 614 kJ/mol - O-H = 467 kJ/mol - C-H = 413 kJ/mol - C≡C = 839 kJ/mol - O=O = 204 kJ/mol - O=O = 498 kJ/mol - C=O = 799 kJ/mol - C-C = 347 kJ/mol #### Steps for Calculation 1. **Draw the Lewis Structures** for each molecule in the reaction to identify the types and numbers of bonds. 2. **Calculate the total bond energy** for bonds broken in the reactants. 3. **Calculate the total bond energy** for bonds formed in the products. 4. **Subtract the bond energies of the products from the bond energies of the reactants** to find the overall ΔH: \[ \Delta H = \Sigma \text{Bond Energies of Reactants} - \Sigma \text{Bond Energies of Products} \] #### Example Calculation **Reactants:** - **CH4**: 4 C-H bonds - **2 O2**: 2 O=O bonds **Products:** - **CO2**: 2 C=O bonds - **2 H2O**: 4 O-H bonds ### Bond Energies in the Reaction - **Reactants:** - C-H: 4 × 413 = 1652 kJ/mol - O=O: 2 × 498 = 996 kJ/mol - Total bond energy for reactants = 1652 + 996 = 2648 kJ/mol - **Products:** - C=O: 2 × 799 = 1598 kJ/mol - O-H: 4
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