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Mr McCondichie

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Unit 3 - Chemistry in Society Topics:

(a) Getting the most from reactants

(b) Controlling the Rate

(c) Chemical Energy

(d) Equilibria

(e) Chemical Analysis

(f) Researching Chemistry

(c) Chemical Energy

(iii) Molar and Mean Bond Enthalpy

Breaking bonds

If we want to break a covalent bond between two atoms, we need to put energy into overcome the attractive force.

Bond breaking is an endothermic process.

H-H bond enthalpy

The bond enthalpy is the energy required to break one mole of H-H bonds

The product is 2 H atoms in the gaseous state.

This is equal and opposite to the energy given out when 2 H atoms in the gaseous state form 1 mole of H-H bonds.

Diatomic molecules

For a diatomic molecule, the bond enthalpy values can be measured directly

Mean bond enthalpies

Mean bond enthalpies have to be calculated as the value of a C-H bond enthalpy will vary according to the environment it is in.

Energy used to break a bond (endothermic) will equal that released when the bond is made (exothermic).

Bond Enthalpy calculations

Bond enthalpies can be used to estimate the enthalpy change occurring for a gas phase reaction, by calculating the energy required to break bonds in the reactants and the energy released when new bonds are formed in the products.

Using bond enthalpies

ΔH can be calculated from bond enthalpies using the equation:

ΔH = Σ ΔH bonds broken + Σ ΔH bonds made

Making bonds

The opposite is true if we want to make new bonds.

Energy is released when new chemical bonds are formed.

Bond making is an exothermic process.

Breaking or making the same chemical bond will require the same energy to be put in or released.

H-H → 2H ΔH = 432kJ

2H → H-H ΔH = -432kJ

Bond enthalpy values

The values for bond enthalpies are found on page 10 of the data book.

For some bonds, the mean bond enthalpy is quoted. This is to give an average value to work from since the precise enthalpy value for a bond may be different in different molecules.

For example, the energy needed to break a C-C bond in ethane (C2H6) will be different to the energy needed to break a C-C bond in decane (C10H22)

Gaseous state

The bond enthalpies quoted in the data book are the energies required to break 1 mole of a particular bond between a pair of atoms in the gaseous state.

We can use these bond enthalpies to approximately calculate the enthalpy change for a given reaction.

Worked Example 1

What is the enthalpy change when hydrogen is added to ethyne to produce ethane?

C2H2 + 2H2 → C2H6

Step 1

Draw the full structural formulae of all the molecules from the equation. This will show exactly what bonds are involved.

Step 2

Make a list of all the bonds being broken in the reactants

Bond Breaking

1 x C≡C

2 x C-H

2 x H-H

Fill in the values for the bond enthalpies from Page 10 of the data book.

Bond Breaking

1 x C≡C = 838

2 x C-H = 2 x 412 = 824

2 x H-H = 2 x 436 = 872

Step 4

Repeat this process for the Bond Making steps.

Bond Making

1 x C-C = 348

6 x C-H = 6 x 412 = 2472

Step 5

Calculate the total energy put in breaking bonds and total energy given out making new bonds.

Remember: Bond breaking is an endothermic process and bond making is an exothermic process.

Bond Breaking

1 x C≡C = 838

2 x C-H = 2 x 412 = 824

2 x H-H = 2 x 436 = 872

Total put in = 2534 kJ

Bond Making

1 x C-C = 348

6 x C-H = 6 x 412 = 2472

Total given out = -2820 kJ

Step 6

Calculate the enthalpy change for the reaction.

ΔH = 2534 + (-2820)

ΔH = 2534 - 2820

ΔH = -286 kJmol-1

Worked Example 2