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An ore contains Fe3O4 and no other iron. The iron in a 51.98 gram sample of the ore is all converted by a series of chemical re...Asked by Gabriella
                An ore contains Fe3O4 and no other iron. The iron in a 36.5-gram sample of the ore is all converted by a series of chemical reactions to Fe2O3. The mass of Fe2O3 is measured to be 26 g. What was the mass of Fe3O4 in the sample of ore?
Answer in units of g
            
        Answer in units of g
Answers
                    Answered by
            bobpursley
            
    figure the percent iron in Fe2o3
percent=2*atommassFe/formulamassFe203
grams in ore: percent*26grams.
    
percent=2*atommassFe/formulamassFe203
grams in ore: percent*26grams.
                    Answered by
            Graham
            
    Amount of Iron in sample:
n[Fe] = 3 m[Fe3O4]/w[Fe3O4]
Amount of Iron in assay:
n[Fe] = 2 m[Fe2O3]/w[Fe2O3]
The amount of iron is conserved, so:
m[Fe3O4] = (2/3) m[Fe2O3] w[Fe3O4] / w[Fe2O3]
Substitute:
m[Fe2O3] = 26g
w[Fe2O3] = 159.6887 ± 0.0002 g/mol
w[Fe3O4] = 231.5333 ± 0.0003 g/mol
    
n[Fe] = 3 m[Fe3O4]/w[Fe3O4]
Amount of Iron in assay:
n[Fe] = 2 m[Fe2O3]/w[Fe2O3]
The amount of iron is conserved, so:
m[Fe3O4] = (2/3) m[Fe2O3] w[Fe3O4] / w[Fe2O3]
Substitute:
m[Fe2O3] = 26g
w[Fe2O3] = 159.6887 ± 0.0002 g/mol
w[Fe3O4] = 231.5333 ± 0.0003 g/mol
                    Answered by
            Gabriella
            
    okay graham could you possibly put that in a more understandable format because i'm not quite comprehending what you're saying.
    
                    Answered by
            Graham
            
    Not sure how to be clearer.
From the formula, the mole amount of iron in the magnetite sample is three times the mole amount of iron(II,III) oxide. This amount is the mass of magnetite divided by its molar weight.
n[Fe] = 3 m[Fe3O4]/w[Fe3O4]
The amount of iron in the converted assay is twice the amount of iron(III) oxide. That amount is again the mass of assay divided by its molecular weight.
n[Fe] = 2 m[Fe2O3]/w[Fe2O3]
All of the magnetite was converted, so the amount of iron must remain the same. It is conserved. So we can equate them.
3 m[Fe3O4]/w[Fe3O4] = 2 m[Fe2O3]/w[Fe2O3]
We are given three of these terms and wish to find the fourth. Rearranging gives the mass of magnetite in the sample.
m[Fe3O4] = (2/3) m[Fe2O3] w[Fe3O4] / w[Fe2O3]
Evaluating:
m[Fe3O4] = (2/3)*(26g)*(231.5333)/(159.6887)
    
From the formula, the mole amount of iron in the magnetite sample is three times the mole amount of iron(II,III) oxide. This amount is the mass of magnetite divided by its molar weight.
n[Fe] = 3 m[Fe3O4]/w[Fe3O4]
The amount of iron in the converted assay is twice the amount of iron(III) oxide. That amount is again the mass of assay divided by its molecular weight.
n[Fe] = 2 m[Fe2O3]/w[Fe2O3]
All of the magnetite was converted, so the amount of iron must remain the same. It is conserved. So we can equate them.
3 m[Fe3O4]/w[Fe3O4] = 2 m[Fe2O3]/w[Fe2O3]
We are given three of these terms and wish to find the fourth. Rearranging gives the mass of magnetite in the sample.
m[Fe3O4] = (2/3) m[Fe2O3] w[Fe3O4] / w[Fe2O3]
Evaluating:
m[Fe3O4] = (2/3)*(26g)*(231.5333)/(159.6887)
                    Answered by
            Gabriella
            
    Okay I get it now. Thank you.
    
                    Answered by
            Shakir
            
    184g
    
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