The formula of the metal oxide is FeO.
When a metal is burned in the air or oxygen the product formed is metal oxide. This is called the combustion reaction of metals.
Calculations:
It is given that the weight of iron (Fe) is 0.916 g. After the reaction, it forms iron oxide that has the weight 1.178 g. The weight of the metal before and after the reaction must have remained same, only the addition of oxygen has taken place.
The mass of oxygen is calculated as:
Mass of oxygen = 1.178 g - 0.916 g
= 0.262 g
The molar mass of oxygen is 16.00 g/mol. The number of moles of oxygen is calculated as:
Moles of O = 0.262 g/16.00 g/mol
= 0.0164 mol
The molar mass of Fe is 55.845 g/mol. The number of moles of Fe is calculated as:
Moles of Fe = 0.916 g/55.845 g/mol
= 0.0164 mol
The number of moles of Fe and O are equal. Hence, the molar ratio between Fe and O is 1:1. Therefore, the formula of the iron oxide is FeO.
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