The bond enthalpy refers to the energy required to break one mole of bonds in a molecule in its gaseous phase. The strength of a bond is influenced by factors such as bond length and the electronegativity difference between the atoms involved.
1. Step 1: Compare the types of bonds.
- A double bond (like \( C = C \) and \( C = O \)) is stronger than a single bond but weaker than a triple bond (like \( C \equiv N \)).
- A triple bond is the strongest and thus has the highest bond enthalpy.
2. Step 2: Analyze each bond.
- The C = C bond is weaker compared to the C = O and C \equiv N bonds because oxygen and nitrogen are more electronegative than carbon, making their bonds stronger.
- The C = O bond is stronger than C = C because oxygen is more electronegative.
- The C \equiv N bond is stronger than C = O and C = C due to the triple bond.
Thus, the least bond enthalpy is found for the C = C bond.