ecessary to know the bonds present in both the reactants and products
How to complete bond energy calculations
Write a balanced equation if none is present already
Optional - draw the displayed formula in order to identify the type and number of bonds more easily
Add together all the bond energies for all the bonds in the reactants – this is the ‘energy in’
Add together the bond energies for all the bonds in the products – this is the ‘energy out’
Calculate the enthalpy change:
Enthalpy change (ΔH) = Energy taken in - Energy given out
Worked Example
Hydrogen and chlorine react to form hydrogen chloride gas:
H2 + Cl2 ⟶ 2HCl
The bond energies are given in the table below.
Bond | Energy (kJ) |
H–H | 436 |
Cl–Cl | 242 |
H–Cl | 431 |
Calculate the overall energy change for this reaction and use this value to explain whether the reaction is exothermic or endothermic.
Answer:
Calculate the energy in
436 + 242 = 678 (kJ)
Calculate the energy out
2 x 431 = 862 (kJ)
Calculate the energy change
678 - 862 = –184 (kJ)
Since the energy change is a negative number, energy is being released (to the surroundings)
Therefore, the reaction is exothermic
Examiner Tips and Tricks
When calculating enthalpy change using bond energies, it is helpful to write down a displayed formula equation for the reaction before identifying the type and number of bonds, to avoid making mistakes.
So, the reaction for the above worked example is:
H-H + Cl-Cl → H-Cl + H-Cl
Worked Example
Hydrogen reacts with iodine to form hydrogen iodide.
H2 + I2 ⟶ 2HI
The relevant bond energies are shown in the table below.
Bond | Energy (kJ) |
H–I | 295 |
H–H | 436 |
I–I | 151 |
Calculate the overall energy change for this reaction and use this value to explain why the reaction is exothermic.
Answer:
Calculate the energy in
436 + 151 = 587 (kJ)
Calculate the energy out
2 x 295 = 590 (kJ)
Calculate the energy change
587 - 590 = -3 (kJ)
The reaction is exothermic because:
More energy is released than taken in
Worked Example
Hydrogen bromide decomposes to form hydrogen and bromine:
2HBr ⟶ H2 + Br2
The overall energy change for this reaction is +103 kJ.
The relevant bond energies are shown in the table below.
Bond | Energy (kJ) |
H–Br | 366 |
Br–Br |
|
H–H | 436 |
Calculate the bond energy of the Br–Br bond.
Answer:
Calculate the energy in
2 x 366 = 732 (kJ)
State the energy out
436 + Br–Br
Overall energy change = energy in - energy out
+103 = 732 - (436 + Br–Br)
+103 = 732 - 436 - Br–Br
Calculate the bond energy of the Br–Br bond
Br–Br = 732 - 436 - 103
Br–Br = +193 (kJ)