Answer :
Final answer:
To calculate the C=C bond energy, we first calculate the total energy of formation of a C2H4 molecule. From this, we subtract the heat of formation of C2H4 to find the C=C bond energy, coming out to be 144.7 kcal.
Explanation:
The calculation of the C=C bond energy, also known as the double bond energy between two carbon atoms, can be achieved by using the given values in a structured manner. We know the heat of formation of the C2H4 molecule, the heat of atomization of both carbon and hydrogen, and the energy of the C-H bond.
The total energy of formation of C 2H4 can be evaluated as the energy necessary to create the individual atoms (i.e., atomization of 2C and 4H) minus the energy used to make the 4 C-H bonds. You get this by using the formula 2 (heat of atomization of C) + 4 (heat of atomization of H) - 4 (bond energy of C-H). By substituting the known values, we get 2 (171) + 4 (52.1) - 4 (99.3) = 157.2 kcal.
To find the C=C bond energy, subtract the heat of formation of C 2H4 from the total energy calculated. Thus, 157.2 - 12.5 = 144.7 kcal, which is the energy of the C=C double bond.
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