2Fe +O2 --> 2FeO(1)
4Fe +3O2 -->2Fe2O3 (2)
3Fe + 2O2 -->Fe3O4 (3)
Fe +4HNO3 --'> Fe(NO3)3 +NO +2H2O(4)
3FeO +10HNO3 --> 3Fe(NO3)3 +NO +5H2O (5)
3Fe3O4 +28HNO3 --> 3Fe(NO3)3 +NO +14H2O(6)
giả sử nFe= a(mol)
nFeO=b(mol)
nFe2O3=c(mol)
nFe3O4=d(mol)
=> 56a+72b+160c+232d =12 (I)
theo (4) :nNO=nFe=a(mol)
theo(5) : nNO=1/3 nFeO=1/3c(mol)
theo (6) : nNO=1/3 nFe3O4=1/3d(mol)
=> a+1/3c+1/3d=2,24/22,4=0,1(II)
nhân (II) với 56 rồi lấy (I) trừ (II) ta có :
\(\dfrac{56a+72b+160c+232d}{56a+\dfrac{56}{3}c+\dfrac{56}{3}d}=\dfrac{160}{3}b+160c+\dfrac{640}{3}d\)
\(\Leftrightarrow\)b+3c+4d=0,12
ta có :
nO(trong FeO)=nFeO=b(mol)
nO(trongFe2O3)=3nFe2O3=3c(mol)
nO(trong Fe3O4)=4nFe3O4=4d(mol)
=> mFe(ban đầu)= \(12-16\left(b+3c+4d\right)\)
= \(12-16.0,12=10,08\left(g\right)\)