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Calculating energy changes in chemical reactions

The energy change in a reaction can be calculated using . A bond energy is the amount of needed to break one of a particular . 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 - this is the 鈥榚nergy in鈥
  • add together the bond energies for all the bonds in the - this is the 鈥榚nergy out鈥
  • energy change = energy in - energy out

Example

Hydrogen and chlorine react to form hydrogen chloride gas:

贬鈭扝 + 颁濒鈭扖濒 鈫 2 脳 (贬鈭扖濒)

Use the bond energies in the table to calculate the energy change for this reaction.

BondBond energy (kJ/mol)
贬鈭扝436
颁濒鈭扖濒243
贬鈭扖濒432
Bond贬鈭扝
Bond energy (kJ/mol)436
Bond颁濒鈭扖濒
Bond energy (kJ/mol)243
Bond贬鈭扖濒
Bond energy (kJ/mol)432

Energy in = 436 + 243 = 679 kJ/mol

Energy out = (2 脳 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 脳 (贬鈭払谤) 鈫 贬鈭扝 + 叠谤鈭払谤

Use the bond energies in the table to calculate the energy change for this reaction.

BondBond energy (kJ/mol)
贬鈭払谤366
贬鈭扝436
叠谤鈭払谤193
Bond贬鈭払谤
Bond energy (kJ/mol)366
Bond贬鈭扝
Bond energy (kJ/mol)436
Bond叠谤鈭払谤
Bond energy (kJ/mol)193

Energy in = 2 脳 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 脳 (H-H) + O=O 鈫 2 脳 (H-O-H)

Use the bond energies in the table to calculate the energy change for this reaction.

BondBond energy (kJ/mol)
贬鈭扝436
O=O498
O-H464
Bond贬鈭扝
Bond energy (kJ/mol)436
BondO=O
Bond energy (kJ/mol)498
BondO-H
Bond energy (kJ/mol)464