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Question

Determine the molecular formula of an oxide of iron in which the mass percent of iron and oxygen are 69.9 and 30.1 respectively. Given that the molar mass of the oxide is 159.69 g mol1.

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Solution

Calculation of the chemical formula for iron oxide-
Elements Atomic
mass
Percentage
Composition
Moles of atoms Mole ratio or
atomic ratio
Simples wholes
number ratio
Fe 56 69.9 69.956 =1.25
1.251.25 = 1
2
O 16 30.1 30.116 =1.88
1.88 1.25 = 1.50
3

Empirical formula- Fe2O3
Empirical formula mass = 2(55.84) + 3(16) = 159.68
Molar mass given = 159.69g/mol
n = 159.69159.68 = 1

Hence chemical formula of iron oxide = Fe2O3

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