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Question:

Determine the molecular formula of an oxide of iron in which the mass per cent of iron and oxygen are 69.9 and 30.1 respectively.

Solution:

Let the molecular formula of the iron oxide be FexOy.

Mass percentage of Fe = 69.9%
Mass percentage of O = 30.1%

Assuming 100g of the oxide, we have:
Mass of Fe = 69.9 g
Mass of O = 30.1 g

Number of moles of Fe = mass / atomic mass = 69.9 g / 55.85 g/mol ≈ 1.25 mol
Number of moles of O = mass / atomic mass = 30.1 g / 16 g/mol ≈ 1.88 mol

Now, we find the simplest mole ratio by dividing both values by the smaller value (1.25 mol):
Fe: 1.25 mol / 1.25 mol = 1
O: 1.88 mol / 1.25 mol ≈ 1.5

Since we need whole numbers, we multiply both ratios by 2:
Fe: 1 * 2 = 2
O: 1.5 * 2 = 3

Therefore, the empirical formula of the iron oxide is Fe2O3.