Final answer:
To estimate ΔE for the reaction of methane with fluorine, we need to consider the average C-H bond energy. Using the given information, we can calculate the total energy required to break the four C-H bonds in methane.
Step-by-step explanation:
To estimate ΔE for the reaction of methane with fluorine, we need to consider the bond energies involved. From the given information, the average C-H bond energy is 415 kJ/mol. We can use this value to calculate the energy required to break the four C-H bonds in methane. The reaction equation shows that two moles of F2 molecules are required to react with one mole of methane. Since there are four C-H bonds in methane, we multiply the average bond energy by four to get the total energy required to break the C-H bonds. So ΔE = 4 * 415 kJ/mol = 1660 kJ/mol.