Giả sử hỗn hợp X có khối lượng 100 (g)
Gọi số mol Fe, Mg là a, b (mol)
=> 56a + 24b = 100 (1)
PTHH: \(Fe+2HCl\rightarrow FeCl_2+H_2\)
a----->2a-------->a---->a
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
b------>2b------>b----->b
nHCl = 2a + 2b (mol)
=> mHCl = 73a + 73b (g)
=> \(m_{dd.HCl}=\dfrac{73a+73b}{20\%}=365a+365b\left(g\right)\)
mdd sau pư = 100 + 365(a+b) - 2(a+b)
= 100 + 363(a+b) (g)
Ta có: \(C\%_{FeCl_2}=\dfrac{127a}{100+363\left(a+b\right)}.100\%=15,76\%\)
=> 69,7912a - 57,2088b = 15,76 (2)
(1)(2) => \(\left\{{}\begin{matrix}a=1,25\left(mol\right)\\b=1,25\left(mol\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{1,25.56}{100}.100\%=70\%\\\%m_{Mg}=\dfrac{1,25.24}{100}.100\%=30\%\end{matrix}\right.\)