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CSEC>> Chemistry

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Chemical formulae and equations
Francine Taylor-Campbell, Contributor

REVIEW OF FACTS

  • The formula of a compound shows how many atoms of each element are present in a molecule or formula unit.
  • The empirical formula is the simplest formula, which represents the composition of the compound.
  • The actual formula is called the molecular formula. It is generally a multiple of the empirical formula and is calculated from the molar mass.

PERCENTAGE COMPOSITION

1. Calculate the Mr for the compound, for example, Ammonium phosphate (NH4)3PO4

Mr = (14 + (4*1))*3 + 31 + (4*16) = 149 1 mole = 149g

2. Calculate the mass of each element in one mole

N = 3*14 = 42g H = 3*4*1 = 12g P = 31g O = 4* 16 = 64g

3. Calculate the percentage of each element

N = (42/149)* 100 = 28.2% H = (12/149)*100 = 8.1% P = (31/149)*100 = 20.8% O = (64/149)*100 = 43.0%

EMPIRICAL AND MOLECULAR FORMULAE

  • The formula of glucose is given as C6H12O6. This shows that the compound glucose is made of 6 atoms of carbon, 12 atoms of hydrogen and 6 atoms of oxygen. This is the molecular formula.
  • The empirical formula of glucose is CH2O and is the whole number ratio of the elements in this compound.
  • To find the empirical formula from combustion or percentage composition data, the number of moles must be found.

NOTE: Number of moles = Mass (g)/Molar mass (g/mol)

Calculate the empirical formula of the compounds with the following percentage composition.

(i) 34.5% Fe, 65.5% Cl

METHOD

Elements present Iron (Fe) Chlorine (Cl)
Percentage by mass 34.5% 65.5%
Mass of element in 100g of the compound 34.5g 65.5g
Relative atomic mass 56 35.5  
Number of moles of element 34.5/56 65.5/35.5
  = 0.616 = 1.85
Ratio of moles 0.616/0.616 1.85/0.616
  = 1 = 3
Empirical formula = FeCl3    

 

2. Calculate the empirical formula of the compounds formed in the following reactions.

(ii) 3.40g calcium form 9.435g of the chloride

METHOD

Elements present Calcium (Ca) Chlorine (Cl)
Mass of each element 3.40g 9.435-3.40 = 6.035g
Relative atomic mass 40 35.5
Number of moles 3.40/40 6.035/35.5
  = 0.085 = 0.17
Ratio of moles 0.085/0.085 0.17/0.085
  = 1 = 2
Empirical formula = CaCl2    

In determining molecular formula, the empirical formula and/or the molar mass must be known. Calculate the molecular formula of the hydrocarbon containing 85.7% carbon given that the molar mass is 56g/mol.

Method 1: 85.7% C 14.3% H Method 2: Mass of carbon = 85.7% * 56 = 48g
Mass in 100g 85.7g 14.3g Mass of hydrogen = 14.3%*56 = 8g
No. of moles 85.7/12 14.3/1 1 atom of carbon = 12g
= 7.14 = 14.3 1 atom of hydrogen = 1g
Ratio of elements 1 : 2   # of carbon atoms = 48/12 = 4
Empirical formula = CH2, Mr = (12+2 = 14g)   # of hydrogen atoms = 8/1 = 8
Molecular formula: (CH2)n = 56   Molecular formula = C4H8
14n = 56 & n = 4
   
Formula = (CH2)4 = C4H8    

Francine Taylor-Campbell is an independent contributor. Send questions and comments to kerry-ann.hepburn@gleanerjm.com


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