$Fe_2O_3 + 6HCl \to 2FeCl_3 + 3H_2O$
$FeO + 2HCl \to FeCl_2 + H_2O$
$Fe_3O_4 + 8HCl \to FeCl_2 + 2FeCl_3 + 4H_2O$
Theo PTHH : $n_{H_2O} = \dfrac{1}{2}n_{HCl} = 0,7(mol)$
Gọi $n_{FeCl_3} = a(mol) ; n_{FeCl_2} = b(mol)$
Ta có :
$n_{HCl} = 3n_{FeCl_3} + 2n_{FeCl_2} =3a + 2b = 1,4(mol)$
$m_{muối} = 162,5a + 127b = 39,2 + 1,4.36,5 - 0,7.18 = 77,7$
Suy ra : $a = 0,4 ; b = 0,1$
$m_{FeCl_3} = 0,4.162,5 = 65(gam)$
Quy đổi hỗn hợp \(\left\{{}\begin{matrix}Fe_2O_3\\FeO\\Fe_3O_4\end{matrix}\right.\) thành \(\left\{{}\begin{matrix}FeO:x\left(mol\right)\\Fe_2O_3:y\left(mol\right)\end{matrix}\right.\)
=> 72x + 160y = 39,2 (*)
PTHH: \(FeO+2HCl\rightarrow FeCl_2+H_2\)
x------>2x------->x
\(Fe_2O_3+6HCl\rightarrow2FeCl_3+3H_2O\)
y------->6y--------->2y
=> 2x + 6y = 1,4 (**)
Từ (*), (**) => x = 0,1; y = 0,2
=> \(m_{FeCl_3}=2.0,2.162,5=65\left(g\right)\)