The bond strength of a molecule is determined by the energy required to break its chemical bonds. In carbon dioxide CO2 , there are two double bonds between the carbon atom and each of the two oxygen atoms. The bond strength of a carbon-oxygen double bond is approximately 799 kJ/mol.Methane CH4 consists of a single carbon atom bonded to four hydrogen atoms, forming four single bonds. The bond strength of a carbon-hydrogen single bond is approximately 414 kJ/mol.To compare the bond strengths of carbon dioxide and methane, we can look at the total bond energy for each molecule. For CO2, the total bond energy is 2 x 799 kJ/mol = 1598 kJ/mol. For CH4, the total bond energy is 4 x 414 kJ/mol = 1656 kJ/mol.Although the individual carbon-oxygen double bonds in CO2 are stronger than the carbon-hydrogen single bonds in CH4, the overall bond strength of methane is slightly higher due to the presence of four bonds.