\(Fe\left(a\right)+2HCl\rightarrow FeCl_2\left(a\right)+H_2\)
\(Mg\left(1-a\right)+2HCl\rightarrow MgCl_2\left(1-a\right)+H_2\)
Đặt tổng số mol hỗn hợp là 1 mol.
Gọi a là số mol của Fe trong hỗn hợp trên (a < 1 )
=> \(n_{Mg}=\left(1-a\right)\left(mol\right)\)
\(\Rightarrow m_X=56a+\left(1-a\right)24=32a+24\left(g\right)\)
Theo PTHH \(n_{HCl}=2n_{hh}=2\left(mol\right)\)
\(\Rightarrow m_{HCl}=73\left(g\right)\)
\(\Rightarrow m_{ddHCl}=365\left(g\right)\)
Theo PTHH: \(n_{H_2}=n_{hh}=1\left(mol\right)\)
\(\Rightarrow m_{H_2}=2\left(g\right)\)
\(m dd sau = 32a+24+365-2=32a+387(g)\)
Theo đề, ta có: \(15,757=\dfrac{127a.100}{32a+387}\)
\(\Rightarrow a=0,5\)
Theo PTHH: \(n_{MgCl_2}=1-a\left(mol\right)\)
\(\Rightarrow C\%_{MgCl_2}=\dfrac{95\left(1-a\right).100}{32a+387}=\dfrac{95\left(1-0,5\right).100}{32.0,5+387}=11,7866\%\)
