How to Calculate Bond Energy

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Bond energy is a measurable attraction between the atoms in a molecule and can be used to predict the outcomes of reactions. A chemical bond is a stable arrangement of electrons, and the energy that is required to break each bond can be looked up in a reference table and used in bond energy calculations to find the total energy change expected in a reaction.

TL;DR (Too Long; Didn't Read)

Bond Energy (BE) Formula: Δ Ereaction = ∑ BE bonds broken − ∑ BE bonds formed

You can find the energy released (or required) when a reaction takes place by taking the difference between the bond energy of the bonds that break and the bond energy of the bonds that are formed.

Factors Affecting Bond Strength

Bond strength is affected by bond length, which is affected by atomic radius, nuclear charge, electronegativity and whether the bond is a single, double or triple bond. Note that there are exceptions, but it provides an overall trend.

Atomic radius, if large, will mean that the outer electrons are far from the pull of the positively charged nucleus. Two small atoms will be physically closer to each other than large ones, so the bond will be stronger.

Nuclear charge is affected by the number of protons in the nucleus. Compare neon Ne (atomic number 10) and sodium ion Na+ (atomic number 11). Both have 10 electrons, but Na+ has 11 protons, and neon has only 10 protons, resulting in a higher nuclear charge for Na+.

On the periodic table, the elements that are closer to the right hand side have more electronegativity and will therefore form stronger bonds than those closer to the left side. Also, elements that are closer to the top of the periodic table have more electronegativity than those closer to the bottom. As an example, fluorine is much more reactive than iodine and carbon is more reactive than lithium.

Double bonds require substantially more energy before they can be broken. Note the difference in the bond energies listed below for carbon.

Single bond: C—C bond energy is 346 kJ/mol
Double bond: C=C bond energy is 602 kJ/mol
Triple bond: C ≡ C bond energy is 835 kJ/mol

Example Bond Energy Calculations

Using the table of bond energies given, what is the energy change when HCl is added to C2H4 to produce C2H5Cl?

Bond Energies (kJ/mol)

H—Cl

432

C—H

413

C=C

602

C—C

346

C—Cl

339

LibreTexts: https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Chemical_Bonding/Fundamentals_of_Chemical_Bonding/Chemical_Bonds/Bond_Lengths_and_Energies

Bond Energy Formula

The energy change of the reaction is equal to the sum of the bond energy of the bonds broken minus the sum of the bond energy of the bonds formed.

Δ Ereaction = ∑ BE bonds broken − ∑ BE bonds formed

Draw the molecules: H2C=CH2 + H-Cl ==> H3C—CH2-Cl

You can see that the double bond between the carbons breaks and becomes a single bond. You know that the hydrochloric acid, HCl, will dissociate into ions H+ and Cl-, and these ions will bond with the carbon chain structure.

Bonds Broken (bond energy kJ/mol):
C=C (602)
H—CL (432)
Now add these together:
∑ BE bonds broken = 602 + 432
∑ BE bonds broken = 1034

Bonds Formed (bond energy kJ/mol):
C—C (346)
C—Cl (339)
C—H (413)
Now add these together:
∑ BE bonds formed = 346 + 339 + 413
∑ BE bonds formed = 1089

Δ Ereaction = ∑ BE bonds broken − ∑ BE bonds formed
Δ Ereaction = 1034 - 1089
Δ Ereaction = -55 kJ

The final result, -55 kJ, is negative, indicating that the reaction was exothermic (heat released).

References

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