Trong 0,15 mol hỗn hợp X, gọi : $n_{Al_2O_3} = a(mol) ; n_{CuO} = b(mol) ; n_{Fe_2O_3} = c(mol)$
$\Rightarrow a + b + c = 0,15(1)$
$n_{H_2SO_4} = 0,2(mol) ; n_{HCl} = 0,3(mol)$
$n_H =2 n_{H_2SO_4} + n_{HCl} = 0,7(mol)$
$2H + O \to H_2O$
$n_{O\ trong\ X} = \dfrac{1}{2}n_H = 0,35(mol)$
$\Rightarrow 3a + b + 3c = 0,35(2)$
Mặt khác:
$CuO +C O \xrightarrow{t^o} Cu + CO_2$
$Fe_2O_3 + 3CO \xrightarrow{t^o} 2Fe + 3CO_2$
Ta có :
\(\dfrac{102a+80b+160c}{102a+64b+56.2c}=\dfrac{34,2}{27,8}\)(3)
Từ (1)(2)(3) suy ra a = b = c = 0,05
$m_{muối} = m_{kim\ loại} + m_{SO_4} + m_{Cl}$
$= m_{Al} + m_{Cu} + m_{Fe} + m_{SO_4} + m_{Cl}$
$= 0,05.2.27 + 0,05.64 + 0,05.2.56 + 0,2.96 + 0,3.35,5$
$= 41,35(gam)$