Đặt \(\left\{{}\begin{matrix}n_{Al_2O_3}=a\left(mol\right)\\n_{MgO}=b\left(mol\right)\\n_{Fe_2O_3}=c\left(mol\right)\end{matrix}\right.\) \(\Rightarrow102a+40b+160c=2,22\)
\(Al_2O_3,MgO\) không bị khử bởi \(CO\)
\(PTHH:Fe_2O_3+3CO\underrightarrow{t^o}2Fe+3CO_2\)
\(\left(mol\right)\) \(c\) \(2c\)
\(\Rightarrow102a+40b+56.2c=1,98\)
\(PTHH:Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
\(\left(mol\right)\) \(a\) \(6a\)
\(PTHH:MgO+2HCl\rightarrow MgCl_2+H_2O\)
\(\left(mol\right)\) \(b\) \(2b\)
\(PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\)
\(\left(mol\right)\) \(2c\) \(4c\)
\(\Rightarrow6a+2b+4c=0,1\)
Từ đó: \(\left\{{}\begin{matrix}a=0,01\left(mol\right)\\b=0,01\left(mol\right)\\c=0,005\left(mol\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\%m_{Al_2O_3}=45,95\left(\%\right)\\\%m_{MgO}=18,02\left(\%\right)\\\%m_{Fe_2O_3}=36,03\left(\%\right)\end{matrix}\right.\)
3. Đặt nAl2O3= x, nMgO=y, nFe2O3 = z
PTHH:
Fe2O3 + 3CO-----> 2Fe + 3CO2
Al2O3 + 6HCl ------> 2AlCl3 + 3H2O
MgO + 2HCl --------> MgCl2 + H2O
Fe + 2HCl -------> FeCl2 + H2
Ta có khối lượng của hỗn hợp X : \(102x+40y+160z=2,22\) (1)
Chất rắn Y gồm Fe, MgO và Al2O3
=> \(56.2z+102x+40y=1,98\) (2)
Theo PT ta có : \(n_{HCl}=6x+2y+2z.2=0.1.1\) (3)
Từ (1), (2), (3) => x=0,01 ; y=0,01, z= 0,005
=> \(\%m_{Al_2O_3}=\dfrac{0,01.102}{2,22}.100=45,95\%\)
\(\%m_{MgO}=\dfrac{0,01.102}{2,22}.100=18,01\%\)
=>\(\%m_{Fe_2O_3}=\dfrac{0,005.160}{2,22}.100=36,04\%\)