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. Molar mass of this oxide is
170.0 g mol−1
.
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1
Answer:
The iron oxide has 69.9% iron and 30.1% dioxygen by mass.
Thus, 100 g of iron oxide contains 69.9 g iron and 30.1 g dioxygen.
The number of moles of iron present in 100 g of iron oxide are
55.8
69.9
=1.25.
The number of moles of dioxygen present in 100 g of iron oxide are
32
30.1
=0.94.
The ratio of the number of oxygen atoms to the number of carbon atoms present in one formula unit of iron oxide is
1.25
2×0.94
=1.5:1=3:2.
Hence, the formula of the iron oxide is Fe
2
O
3
.
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