大象传媒

Calculating energy changes - Higher

Using bond energies

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 'energy in'
  • add together the bond energies for all the bonds in the - this is the 'energy out'
  • energy change = energy in - energy out

Worked example

Hydrogen and chlorine react to form hydrogen chloride gas:

H2 + Cl2 鈫 2HCl

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
贬鈭扝436 kJ/mol-1
颁濒鈭扖濒243 kJ/mol-1
贬鈭扖濒 432 kJ/mol-1
Bond贬鈭扝
Bond energy436 kJ/mol-1
Bond颁濒鈭扖濒
Bond energy243 kJ/mol-1
Bond贬鈭扖濒
Bond energy432 kJ/mol-1

Energy in = 436 + 243 = 679 kJ/mol-1

Energy out = (2 脳 432) = 864 kJ/mol-1

Energy change = in - out

= 679 - 864

= -185 kJ/mol-1

The energy change is negative. This shows that the reaction is .

Worked example

Hydrogen bromide decomposes to form hydrogen and bromine:

2HBr 鈫 H2 + Br2

2 脳 (贬鈭払谤) 鈫 贬鈭扝 + Br-Br

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

BondBond energy
贬鈭払谤366 kJ/mol-1
贬鈭扝436 kJ/mol-1
叠谤鈭払谤193 kJ/mol-1
Bond贬鈭払谤
Bond energy366 kJ/mol-1
Bond贬鈭扝
Bond energy436 kJ/mol-1
Bond叠谤鈭払谤
Bond energy193 kJ/mol-1

Energy in = 2 脳 366 = 732 kJ/mol-1

Energy out = 436 + 193 = 629 kJ/mol-1

Energy change = in - out

= 732 - 629

= +103 kJ/mol-1

The energy change is positive. This shows that the reaction is .

Question

Hydrogen reacts with oxygen to form water:

H2 + O2 鈫 2H2O

2 脳 (贬鈭扝) + O=O 鈫 2 脳 (H鈭挵库揌)

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

BondBond energy
贬鈭扝436 kJ/mol-1
O=O498 kJ/mol-1
翱鈥揌464 kJ/mol-1
Bond贬鈭扝
Bond energy436 kJ/mol-1
BondO=O
Bond energy498 kJ/mol-1
Bond翱鈥揌
Bond energy464 kJ/mol-1