Calculating the Empirical Formula and Molecular Formula

Calculating the Empirical Formula and Molecular Formula

The empirical formula is the simplest formula and only tells you the ratio of the various atoms. Suppose 2.4g of magnesium combined with 1.6g of oxygen, you can use a table to work out the empirical formula. (Mg = 24 O = 16)

 

C H

Percentage

87.5 14.3

Combining Masses

87.5 14.3

Number of moles

85.7/12

14.3/1

= 7.14

14.3

Ratio of Moles

1:2

Empirical Formula

CH2

 

  Mg O
Combining Masses 2.4 1.6
Number of moles 2.4/24 1.6/16
= 0.10 0.10
Ratio of Moles 1:1
Empirical Formula MgO

What about with percentage figures?

 

Suppose you had a compound containing 85.7% C, 14.3% H and you were asked to calculate the empirical formula. Firstly, you assume that 100% = 100g! (C = 12 H = 1)

 

However, you know that CH2 does not exist. Remember this is only the ratio. To find the molecular formulae, you need to know the relative formula mass of the compound. Suppose it was 56g for the above question.

 

Firstly, find out the RFM of CH2 = 12 + 2 = 14g

Find out how many times 14 goes into 56, so 56/14 = 4 times

Which means the molecular formula is C4H8!