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4.
Method of calculating the %
percentage by mass of the elements in a compounds
The 'percent' % by mass composition of a compound in terms of its constituent elements is calculated as follows:
(i) Calculate the formula or molecular mass of the compound
see section 2.
 2.
Calculating relative formula/molecular mass (Mr) of a compound
(ii) Calculate the mass of the element in the compound, taking into account the number of atoms of the element in the compound formula
(iii) Calculate (ii) as a percentage of (i)
- Example 4.1: Calculate the % of copper in copper sulphate,
CuSO4
- Relative atomic masses: Cu = 64, S = 32 and O = 16
- relative formula mass = 64 + 32 + 4x16 = 160
- only one copper atom of relative atomic mass 64
- % Cu = 64 x 100 / 160 = 40% copper by mass in the compound
- Example 4.2
: Calculate the % of oxygen in aluminium sulphate,
Al2(SO4)3
- Relative atomic masses: Al = 27, S = 32 and O = 16
- relative formula mass = 2x27 + 3x(32 + 4x16) = 342
- there are 4 x 3 = 12 oxygen atoms, each of relative atomic mass 16, giving a total mass of oxygen in the formula of 12 x 16 = 192
- % O = 192 x 100 / 342 = 56.1% oxygen by mass in aluminium sulphate
- Example 4.3: Calculate the % of water in hydrated
magnesium sulphate MgSO4.7H2O
- Relative atomic masses: Mg = 24, S = 32, O = 16 and H = 1
- relative formula mass = 24 + 32 + (4 x 16) + [7 x (1 + 1
+ 16)] = 246
- 7 x 18 = 126 is the mass of water
- so % water = 126 x 100 / 246 =
51.2 %
- Note: The determination
and calculation of the formula of a hydrated salt like MgSO4.7H2O
is covered in Calculations section
14.4.
- Example 4.4:
Self-assessment Quizzes
[pbm] type in answer
for
F and H or
multiple choice
for
F and H
OTHER CALCULATION PAGES
-
What is relative atomic mass?,
relative isotopic mass and calculating relative atomic mass
-
Calculating relative
formula/molecular mass of a compound or element molecule
-
Law of Conservation of Mass and simple reacting mass calculations
-
Composition by percentage mass of elements
in a compound
(this page)
-
Empirical formula and formula mass of a compound from reacting masses
(easy start, not using moles)
-
Reacting mass ratio calculations of reactants and products
from equations
(NOT using
moles) and brief mention of actual percent % yield and theoretical yield,
atom economy
and formula mass determination
-
Introducing moles: The connection between moles, mass and formula mass - the basis of reacting mole ratio calculations
(relating reacting masses and formula
mass)
-
Using
moles to calculate empirical formula and deduce molecular formula of a compound/molecule
(starting with reacting masses or % composition)
-
Moles and the molar volume of a gas, Avogadro's Law
-
Reacting gas volume
ratios, Avogadro's Law
and Gay-Lussac's Law (ratio of gaseous
reactants-products)
-
Molarity, volumes and solution
concentrations (and diagrams of apparatus)
-
How to
do volumetric titration calculations e.g. acid-alkali titrations
(and diagrams of apparatus)
-
Electrolysis products calculations (negative cathode and positive anode products)
-
Other calculations
e.g. % purity, % percentage & theoretical yield, volumetric titration
apparatus, dilution of solutions
(and diagrams of apparatus), water of crystallisation, quantity of reactants
required, atom economy
-
Energy transfers in physical/chemical changes,
exothermic/endothermic reactions
-
Gas calculations involving PVT relationships,
Boyle's and Charles Laws
-
Radioactivity & half-life calculations including
dating materials
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