\(n_{H_2O}=\dfrac{7,84}{22,4}=0,35\left(mol\right);n_{H_2O}=\dfrac{8,1}{18}=0,45\left(mol\right)\)
Gọi \(\left\{{}\begin{matrix}n_{FeO}=a\left(mol\right)\\n_{Fe_2O_3}=b\left(mol\right)\\n_{Fe_3O_4}=c\left(mol\right)\end{matrix}\right.\left(0< a,b,c< 0,2\right)\)
`=> a + b + c = 0,2 (1)`
PTHH:
\(FeO+H_2\xrightarrow[]{t^o}Fe+H_2O\)
a--------------->a---->a
\(Fe_2O_3+3H_2\xrightarrow[]{t^o}2Fe+3H_2O\)
b------------------->2b----->3b
\(Fe_3O_4+4H_2\xrightarrow[]{t^o}3Fe+4H_2O\)
c-------------------->3c---->4c
`=> a + 3b + 4c = 0,45 (2)`
\(Fe+2HCl\rightarrow FeCl_2+H_2\\
Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
\(n_{Fe}=n_{H_2}=0,35\left(mol\right)\)
`=> a + 2b + 3c = 0,35 (3)`
`(1), (2), (3) => a = 0,1; b = c = 0,05`
`=>` \(\left\{{}\begin{matrix}\%m_{FeO}=\dfrac{0,1.72}{0,1.72+0,05.\left(160+232\right)}.100\%=26,87\%\\\%m_{Fe_2O_3}=\dfrac{0,05.160}{0,1.72+0,05.\left(160+232\right)}.100\%=29,85\%\\\%m_{Fe_3O_4}=100\%-26,87\%-29,85\%=43,28\%\end{matrix}\right.\)