Answer :
The mass of the brown powder produced is 30.0 g. The balanced equation for the reaction is:
Fe + O₂ → Fe₂O₃
The molar mass of iron is 55.845 g/mol, the molar mass of oxygen is 15.999 g/mol, and the molar mass of iron oxide is 159.69 g/mol.
We can use the following equation to calculate the mass of the brown powder produced:
mass of brown powder = (mass of iron)/(molar mass of iron) * (molar mass of iron oxide)/(molar mass of oxygen)
Plugging in the values gives us:
mass of brown powder = (38.2 g)/(55.845 g/mol) * (159.69 g/mol)/(15.999 g/mol) = 30.0 g
Therefore, the mass of the brown powder produced is 30.0 g.
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