10.03.10 Using moles to balance equations (HT only)

Syllabus

  • The balancing numbers in a symbol equation can be calculated from the masses of reactants and products by converting the masses in grams to amounts in moles and converting the numbers of moles to simple whole number ratios.
  • Students should be able to balance an equation given the masses of reactants and products.
  • Students should be able to change the subject of a mathematical equation.

What does this mean?

This means the examiners have lost their minds.

No one balances equations this way.

Which isn't to say that you can't...

You just shouldn't.

Example Questions

Example 1

A question might read like the following:

"A student burns 1.6g of Methane in 6.4g of Oxygen and finds that 4.4g of Carbon Dioxide are made as well as 3.6g of water.

Use these figures to balance the equation below:"

___CH4 + ___O2 --> ____CO2 + ___H2O

Answer:

i) Since Chemistry works in moles we'll first find their Mrs.

Mr (CH4) = 16 g/mol, Mr (O2) = 32 g/mol,

Mr (CO2) = 44 g/mol, Mr (H2O) = 18 g/mol

ii) Then we'll find the moles of each and make a ratio

Moles (CH4) = 1.6/16 = 0.1 mol, Moles (O2) = 6.4/32 = 0.2 mol,

Moles (CO2) = 4.4/44 = 0.1 mol, Moles (H2O) = 3.6/18 = 0.2 mol

CH4: O2: CO2: H2O

0.1: 0.2: 0.1: 0.2

iii) To convert to a simpler ratio we just divide all the numbers in the ratio by the smallest

CH4: O2: CO2: H2O

0.1/0.1 : 0.2/0.1 :0.1/0.1 :0.2/0.1

1: 2: 1: 2

iv) and then put them in the equation

_1_CH4 + _2_O2 --> _1_CO2 + _2_H2O

Example 2

Or

"A student heats 32.4g of Aluminium in 28.8.g of Oxygen and finds that 61.2g of Aluminium Oxide are made.

Use these figures to balance the equation below:"

___Al + ___O2 --> ____Al2O3

Answer:

i) Since Chemistry works in moles we'll first find their Mrs.

Ar (Al) = 27 g/mol, Mr (O2) = 32 g/mol,

Mr (Al2O3) = 102 g/mol

ii) Then we'll find the moles of each and make a ratio

Moles (Al) = 32.4/27 = 1.2 mol, Moles (O2) = 28.8/32 = 0.9 mol,

Moles (Al2O3) = 61.2/102 = 0.6 mol

Al: O2: Al2O3

1.2: 0.9: 0.6

iii) To convert to a simpler ratio we just divide all the numbers in the ratio by the smallest

Al: O2: Al2O3

1.2/0.6: 0.9/0.6: 0.6/0.6

2: 1.5: 1

iv) Because there's a half we double all of them

Al: O2: Al2O3

4: 3 : 2

v) and put the numbers in the equation

_4_Al + _3_O2 --> __2_Al2O3