Let's analyze the reaction and the associated bond energies provided to determine if the reaction is endothermic or exothermic.
The reaction is: \[ \text{CH}_4 + 4\text{Cl}_2 \rightarrow \text{CCl}_4 + 4\text{HCl} \]
Bonds Present:
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Reactants:
- 4 H-C bonds
- 4 Cl-Cl bonds
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Products:
- 4 C-Cl bonds
- 4 H-Cl bonds
Energy of Bonds:
-
Energy of breaking bonds in reactants:
- For 4 H-C bonds: \( 4 \times 411 , \text{kJ/mol} = 1644 , \text{kJ/mol} \)
- For 4 Cl-Cl bonds: \( 4 \times 242 , \text{kJ/mol} = 968 , \text{kJ/mol} \)
Total energy of bonds broken (reactants): \[ 1644 , \text{kJ/mol} + 968 , \text{kJ/mol} = 2612 , \text{kJ/mol} \]
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Energy of forming bonds in products:
- For 4 C-Cl bonds: \( 4 \times 327 , \text{kJ/mol} = 1308 , \text{kJ/mol} \)
- For 4 H-Cl bonds: \( 4 \times 427 , \text{kJ/mol} = 1708 , \text{kJ/mol} \)
Total energy of bonds formed (products): \[ 1308 , \text{kJ/mol} + 1708 , \text{kJ/mol} = 3016 , \text{kJ/mol} \]
Change in Bond Energy:
- Total energy of bonds broken (reactants) = 2612 kJ/mol
- Total energy of bonds formed (products) = 3016 kJ/mol
Calculation of ΔH:
To find whether the reaction is endothermic or exothermic, we use the formula: \[ \Delta H = \text{Energy of bonds broken} - \text{Energy of bonds formed} \] \[ \Delta H = 2612 , \text{kJ/mol} - 3016 , \text{kJ/mol} = -404 , \text{kJ/mol} \]
Since ΔH is negative, the reaction is exothermic.
Conclusion:
The correct answer is: The reaction is exothermic because the total bond energy of the reactants is less than the total bond energy of the products.