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An oxide of iron contains 69.9% iron, its empirical formula, is:
(Given: Molar mass of Fe and O are 56 and 16 g mol$$^{-1}$$ respectively.)
The oxide contains (69.9%) iron by mass. Therefore, the percentage of oxygen is
$$100-69.9=30.1%.$$
Assuming a (100\ \text{g}) sample,
$$\text{Mass of Fe}=69.9\ \text{g},$$
$$\text{Mass of O}=30.1\ \text{g}.$$
The number of moles of each element is
$$\text{Moles of Fe}=\frac{69.9}{56}\approx1.248,$$
$$\text{Moles of O}=\frac{30.1}{16}\approx1.881.$$
Dividing both values by the smaller number of moles,
$$\frac{1.248}{1.248}=1,$$
$$\frac{1.881}{1.248}\approx1.5.$$
Thus, the simplest ratio is
$$Fe:O=1:1.5.$$
Multiplying both terms by (2) to obtain whole numbers,
$$Fe:O=2:3.$$
Hence, the empirical formula of the oxide is
$$Fe_2O_3.$$
Therefore, the correct answer is (Fe_2O_3).
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