The energy change in a reaction can be calculated using bond energyThe amount of energy needed to break one mole of a particular covalent bond.. A bond energy is the amount of energyThe capacity of a system to do work or the quantity required for mechanical work to take place. Measured in joules (J). For example, a man transfers 100 J of energy when moving a wheelbarrow. needed to break one moleThe amount of substance that contains the same number of particles as there are atoms in 12 g of carbon-12 (contains the Avogadro's constant 6.0 ×10²³ number of particles). of a particular covalent bondA bond between atoms formed when atoms share electrons to achieve a full outer shell of electrons.. Different bonds have different bond energies. These are given when they are needed for calculations.
To calculate an energy change for a reaction:
add together the bond energies for all the bonds in the reactantA substance that reacts together with another substance to form products during a chemical reaction. - this is the ‘energy in’
add together the bond energies for all the bonds in the productA substance formed in a chemical reaction. - this is the ‘energy out’
energy change = energy in - energy out
Example
Hydrogen and chlorine react to form hydrogen chloride gas:
H−H + Cl−Cl → 2 × (H−Cl)
Use the bond energies in the table to calculate the energy change for this reaction.
Bond
Bond energy (kJ/mol)
H−H
436
Cl−Cl
243
H−Cl
432
Bond
H−H
Bond energy (kJ/mol)
436
Bond
Cl−Cl
Bond energy (kJ/mol)
243
Bond
H−Cl
Bond energy (kJ/mol)
432
Energy in = 436 + 243 = 679 kJ/mol
Energy out = (2 × 432) = 864 kJ/mol
Energy change = in - out
= 679 - 864
= -185 kJ/mol
The energy change is negative. This shows that the reaction is exothermic.
Example
Hydrogen bromide decomposes to form hydrogen and bromine:
2 × (H−Br) → H−H + Br−Br
Use the bond energies in the table to calculate the energy change for this reaction.
Bond
Bond energy (kJ/mol)
H−Br
366
H−H
436
Br−Br
193
Bond
H−Br
Bond energy (kJ/mol)
366
Bond
H−H
Bond energy (kJ/mol)
436
Bond
Br−Br
Bond energy (kJ/mol)
193
Energy in = 2 × 366 = 732 kJ/mol
Energy out = 436 + 193 = 629 kJ/mol
Energy change = in - out
= 732 - 629
= +103 kJ/mol
The energy change is positive. This shows that the reaction is endothermic.
Question
Hydrogen reacts with oxygen to form water:
2 × (H-H) + O=O → 2 × (H-O-H)
Use the bond energies in the table to calculate the energy change for this reaction.
Bond
Bond energy (kJ/mol)
H−H
436
O=O
498
O-H
464
Bond
H−H
Bond energy (kJ/mol)
436
Bond
O=O
Bond energy (kJ/mol)
498
Bond
O-H
Bond energy (kJ/mol)
464
Energy in = (2 × 436) + 498
= 872 + 498
= 1370 kJ/mo
Energy out = 2 × 2 × 464
= 1856 kJ/mol (there are two O-H bonds in each water molecule)
Energy change = in - out
= 1370 - 1856
= -486 kJ/mol
The energy change is negative. This shows that the reaction is exothermic.