In the reaction \(2CO + O_2 \rightarrow 2CO_2\), two moles of carbon dioxide (CO₂) are produced.
Since carbon dioxide has two carbon-oxygen double bonds (C=O) in each molecule, the total bond energy for all the bonds in two moles of CO₂ would be 1,472 kJ.
To find the bond energy of each carbon-oxygen double bond in one CO₂ molecule, we divide the total bond energy by the number of moles and the number of bonds per molecule:
- Total bond energy for 2 moles = 1,472 kJ
- Number of moles = 2
- Total number of C=O double bonds in 2 moles of CO₂ = 2 moles × 2 (bonds per molecule) = 4 C=O bonds
Now, we can calculate the bond energy per C=O bond:
\[ \text{Bond energy per C=O bond} = \frac{\text{Total bond energy}}{\text{Number of bonds}} = \frac{1,472 \text{ kJ}}{4} = 368 \text{ kJ} \]
Thus, the bond energy of each carbon-oxygen double bond in carbon dioxide is 368 kJ.