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Empirical Formulae (Edexcel GCSE Chemistry: Combined Science)
Revision Note
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
- Dividing the reacting masses by the relative atomic mass of each element (this gives the moles)
- 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:
- 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
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:
- Find the empirical formula mass
- Divide the relative formula mass by the empirical formula mass to obtain the multiple
- 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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