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CSEC>> Chemistry

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Chemical formulae and equations
Francine Taylor-Campbell, Contributor

Glenmuir's Onaje La Mont (left), and Campion's Brian Ewbank, contemplate the next move during their match on board 3 in the RBTT National Schools Chess Championship final at the Ardenne High School library, recently. - Contributed
Main points

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, e.g., ammonium phosphate (NH4)3 PO4

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 formula

The formula of glucose is given as C6H12 O6. This shows that the compound glucose is made of six atoms of carbon, 12 atoms of hydrogen and six 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 presentIron (Fe)Chlorine (Cl)
Percentage by mass 34.5%65.5%
Mass of element in 100g of the compound 34.5g65.5g
Relative atomic mass5635.5
Number of moles of element34.5/56 = 0.616 65.5/35.5 = 1.85
Ratio of moles0.616/0.616 = 11.85/0.616 = 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 presentCalcium (Ca) Chlorine (Cl)
Mass of element3.40g 9.435-3.40 = 6.035g
Relative atomic mass4035.5
Number of moles3.40/40 = 0.0856.035/35.5 = 0.17
Ratio of moles0.085/0.085 = 10.17/0.085 = 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
Mass in 100g 85.7g; 14.3g
No. of moles 85.7/12; 14.3/1 = 7.14 = 14.3
Ratio of elements 1 : 2
Empirical formula = CH2, Mr = (12+2 = 14g)
Molecular formula: (CH2)n = 56
14n = 56 & n = 4
Formula = (CH2)4 = C4 H8

Method 2

Mass of carbon = 85.7% * 56 = 48g
Mass of hydrogen = 14.3%*56 = 8g
1 atom of carbon = 12g
1atom of hydrogen = 1g
# of carbon atoms = 48/12 = 4
# of hydrogen atoms = 8/1 = 8
Molecular formula = C4 H8

Francine Taylor-Campbell is an independent contributor.

 
 
 
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