Empirical Formulae (Edexcel GCSE Chemistry)
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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
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 Tips and Tricks
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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