Empirical & Molecular Formulae (Edexcel IGCSE Chemistry (Modular))

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Empirical & Molecular Formulae

  • The molecular formula is the formula that shows the number and type of each atom in a molecule

    • E.g. the molecular formula of ethanoic acid is C2H4O2

  • The empirical formula is the simplest whole number ratio of the atoms of each element present in one molecule or formula unit of the compound

    • E.g. the empirical formula of ethanoic acid is CH2O

  • Organic molecules often have different empirical and molecular formulae

  • The formula of an ionic compound is always an empirical formula

Calculating empirical and molecular formula

How to calculate empirical formulae

  • Empirical formula calculations are very methodical

  • Use a table and the following steps to complete an empirical formula calculation:

    1. Write the element

    2. Write the value given for each element

      • This may be given as a mass, in g, or as a percentage

      • There are exam questions where you are required to calculate the value of one of the elements

    3. Write the relative atomic mass of each element

    4. Calculate the moles of each element

      • Moles = begin mathsize 14px style mass over A subscript r end style

    5. Calculate the ratio of elements

      • Divide all the moles by the smallest number of moles

      • If you get a ratio that does not have whole numbers, you multiply by an appropriate number to make all the values into whole numbers

    6. Write the final empirical formula

Worked Example

A sample of a compound was found to contain 10 g of hydrogen and 80 g of oxygen.

Calculate the empirical formula of this compound.

Ar (H) = 1   Ar (O) = 16

Answer:

1. Element

H

O

2. Value

10

80

3. Relative atomic mass

1

16

4. Moles = begin mathsize 14px style mass over A subscript r end style

begin mathsize 14px style 10 over 1 end style = 10

80 over 16 = 5

5. Ratio (divide by smallest)

10 over 5 = 2

5 over 5 = 1

6. Answer

The empirical formula is H2O

Worked Example

Carbohydrate X was analysed and found to contain 31.58% carbon and 5.26% hydrogen by mass.

Find the empirical formula of carbohydrate X.

A(H) = 1   A(C) = 12   A(O) = 16

Answer:

A carbohydrate contains carbon, hydrogen and oxygen

The percentages do not add up to 100%, which means that you need to calculate the percentage of oxygen needs to be calculated

Percentage of oxygen = 100 - 31.58 - 5.26 = 63.16%

1. Element

C

H

O

2. Value

31.58

5.26

63.16

3. Relative atomic mass

12

1

16

4. Moles = begin mathsize 14px style mass over A subscript r end style

begin mathsize 14px style fraction numerator 31.58 over denominator 12 end fraction end style = 2.63

begin mathsize 14px style fraction numerator 5.26 over denominator 1 end fraction end style = 5.26

begin mathsize 14px style fraction numerator 63.16 over denominator 16 end fraction end style = 3.95

5. Ratio (divide by smallest)

begin mathsize 14px style fraction numerator 2.63 over denominator 2.63 end fraction end style = 1

fraction numerator 5.26 over denominator 2.63 end fraction = 2

fraction numerator 3.95 over denominator 2.63 end fraction = 1.5

5. Whole number ratio

1 x 2 = 2

2 x 2 = 4

1.5 x 2 = 3

6. Answer

The empirical formula is C2H4O3

Examiner Tip

The molar ratio must be a whole number.

If you don't get a whole number when calculating the ratio of atoms in an empirical formula, such as 1.5, multiply that and the other ratios to achieve whole numbers.

How to calculate molecular formula

  • Molecular formula gives the actual numbers of atoms of each element present in the formula of the compound

Table showing the relationship between empirical and molecular formulae

Compound

Empirical formula

Molecular formula

Methane

CH4

CH4

Ethane

CH3

C2H6

Ethene

CH2

C2H4

Benzene

CH

C6H6

  • To calculate the molecular formula:

    1. Find the relative formula mass of the empirical formula

      • Add the relative atomic masses of all the atoms in the empirical formula

    2. Use the following equation:

      • fraction numerator relative space formula space mass space of space molecular space formula over denominator relative space formula space mass space of space empirical space formula end fraction

    3. Multiply the number of each element present in the empirical formula by the number from step 2 to find the molecular formula

Worked Example

The empirical formula of X is C4H10S1

The relative formula mass (Mr ) of X is 180.

Calculate the molecular formula of X.

Ar (C) = 12      Ar (H) = 1      Ar (S) = 32

Answer:

  1. Calculate the relative formula mass of the empirical formula:

    • Mr =  (12 x 4) + (1 x 10) + (32 x 1)   =   90

  2. Divide the relative formula mass of X by the relative formula mass of empirical formula:

    • 180 / 90 = 2

  3. Multiply for the molecular formula:

    • The number of atoms of each elements should be multiplied by 2

    • (C4 x 2) + (H10 x 2) + (S1 x 2)

    • Molecular formula of X = C8H20S2

Deducing formulae of hydrated salts

  • A hydrated salt is a crystallised salt that contains water molecules as part of its structure

  • The formula of a hydrated salt shows the water molecules, e.g. CuSO4•2H2O

    • The • symbol shows that the water present is water of crystallisation

  • The formula of hydrated salts can be determined experimentally by:

    • Weighing a sample of the hydrated salt

    • Heating it until the water of crystallisation has been driven off

      • This is achieved by heating until a constant mass

    • Re-weighing the anhydrous salt

  • From the results, you can determine the mass of anhydrous salt and the mass of the water of crystallisation

  • Applying a similar approach to deducing empirical formulae, the formula of the hydrated salt can be calculated

How to calculate water of crystallisation

  • The steps for empirical formula can be adapted for hydrated salt / water of crystallisation calculations 

    • Instead of writing elements, write the two components of a hydrated salt

      • The salt

      • Water

    • Instead of writing relative atomic mass, write the relative molecular / formula mass of the salt and water

  • Use a table and the following steps to complete the calculation:

    1. Write the salt and water

    2. Write the value given for the salt and water 

      • There are exam questions where you are required to calculate one of these values

    3. Write the relative molecular / formula mass of the salt and water

    4. Calculate the moles of the salt and water

      • Moles = begin mathsize 14px style mass over M subscript r end style

    5. Calculate the ratio salt : water 

      • Divide all the moles by the smallest number of moles

      • The calculation should give a ratio of 1 salt : x water

    6. Write the final hydrated salt formula

Worked Example

11.25 g of hydrated copper sulfate, CuSO4.xH2O, is heated until it loses all of its water of crystallisation.

It is re-weighed and its mass is 7.19 g.

Calculate the formula of the hydrated copper(II) sulfate.

Ar (Cu) = 63.5      Ar (S) = 3.      Ar (O) = 16     Ar (H) = 1

Answer:

1. Salt and water

CuSO4

H2O

2. Value

7.19

11.25 - 7.19
= 4.06

3. Mr 

63.5 + 32 + (16 x 4)
= 159.5

(1 x 2) + 16
= 18

4. Moles = mass over M subscript r

fraction numerator 7.19 over denominator 159.5 end fraction = 0.045

fraction numerator 4.06 over denominator 18 end fraction = 0.226

5. Salt : water ratio

begin mathsize 14px style fraction numerator 0.045 over denominator 0.045 end fraction end style = 1

begin mathsize 14px style fraction numerator 0.226 over denominator 0.045 end fraction end style = 5

6. Formula of hydrated salt

The formula is CuSO45H2O

 

Examiner Tip

The specification is not clear about whether deducing the formula of hydrated salts is required.

However, it is an application of deducing empirical formulae so it is worth knowing how to do this.

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