Empirical Formulae (Edexcel GCSE Chemistry: Combined Science)

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Empirical Formulae

Empirical Formula from Reacting Masses

  • An empirical formula gives the simplest whole number ratio of atoms of each element in the compound
  • It is calculated from knowledge of the ratio of masses of each element in the compound
  • Suppose a compound contains 10 g of hydrogen and 80 g of oxygen. We can calculate the empirical formula by

    1. Dividing the reacting masses by the relative atomic mass of each element (this gives the moles)
    2. Divide each result by the lowest number obtained to give the simplest ratio

  • This can be shown by the following calculations:
    • Amount of hydrogen atoms = Mass in grams ÷ Ar of hydrogen = (10 ÷ 1) = 10 moles
    • Amount of oxygen atoms = Mass in grams ÷ Ar of oxygen = (80 ÷ 16) = 5 moles

  • The ratio of moles of hydrogen atoms to moles of oxygen atoms:

The Ratio of Moles of Hydrogen Atoms to Moles of Oxygen Atoms table, IGCSE & GCSE Chemistry revision notes
  • Since equal numbers of moles of atoms contain the same number of atoms, the ratio of hydrogen atoms to oxygen atoms is 2:1
  • Hence the empirical formula is H2O

Empirical Formula from Molecular Formula

  • By inspection you simply reduce the molecular formula to the simplest ratio and you have the empirical formula
  • Sometimes the empirical formula is the same as the molecular formula, as in the example of methane
  • The formula of ionic compounds is always the empirical formula

Relationship between Empirical and Molecular Formula

Relationship between Empirical _ Molecular Formula table, IGCSE & GCSE Chemistry revision notes

Molecular Formula from Empirical Formula

  • To find the molecular formula from the empirical formula you need to know the relative formula mass of the substance
  • The steps involved are:

    1. Find the empirical formula mass
    2. Divide the relative formula mass by the empirical formula mass to obtain the multiple
    3. Multiple this number by the empirical formula to obtain the molecular formula

Worked example

The empirical formula of X is C4H10S1 and the relative formula mass of X is 180. What is the molecular formula of X?

Relative Formula Masses:       carbon : 12      hydrogen : 1      sulfur : 32

Answer:

  • Step 1 - Calculate the relative empirical formula mass

(C x 4) + (H x 10) + (S x 1)    =   (12 x 4) + (1 x 10) + (32 x 1)   =   90

  • Step 2 - Divide relative formula mass of X by the relative empirical mass

180 / 90 = 2

  • Step 3 - Multiply each number of elements by 2

(C4 x 2) + (H10 x 2) + (S1 x 2)     =    (C8) + (H20) + (S2)

  • Molecular formula of X = C8H20S2

Examiner Tip

Sometimes when you are finding the empirical formula from the reacting masses of two elements you do not get an exact whole number in step 2 after dividing by the relative atomic masses. However, it should be close to a whole number, so just round up or down to get the answer. 

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Stewart

Author: Stewart

Expertise: Chemistry Lead

Stewart has been an enthusiastic GCSE, IGCSE, A Level and IB teacher for more than 30 years in the UK as well as overseas, and has also been an examiner for IB and A Level. As a long-standing Head of Science, Stewart brings a wealth of experience to creating Exam Questions and revision materials for Save My Exams. Stewart specialises in Chemistry, but has also taught Physics and Environmental Systems and Societies.