Đặt \(\left\{{}\begin{matrix}n_{Mg}=n_{MgCl_2}=a\left(mol\right)\\n_{Fe}=n_{FeCl_2}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow24a+56b=5,12\) (1)
Ta có: \(n_{H_2}=\dfrac{2,688}{22,4}=0,12\left(mol\right)\)
Bảo toàn electron: \(2a+2b=0,24\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=n_{MgCl_2}=0,05\left(mol\right)\\b=n_{FeCl_2}=0,07\left(mol\right)\end{matrix}\right.\)
Bảo toàn nguyên tố: \(n_{HCl\left(p/ứ\right)}=2n_{MgCl_2}+2n_{FeCl_2}=0,24\left(mol\right)\)
PTHH: \(NaOH+HCl\rightarrow NaCl+H_2O\)
Theo PTHH: \(n_{HCl\left(dư\right)}=n_{NaOH}=0,06\left(mol\right)\)
\(\Rightarrow\Sigma n_{HCl}=0,3\left(mol\right)\) \(\Rightarrow m_{ddHCl}=\dfrac{0,3\cdot36,5}{36,5\%}=30\left(g\right)\)
Mặt khác: \(m_{H_2}=0,12\cdot2=0,24\left(g\right)\)
\(\Rightarrow m_{dd}=m_{KL}+m_{ddHCl}-m_{H_2}=34,88\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{FeCl_2}=\dfrac{0,07\cdot127}{34,88}\cdot100\%\approx25,49\%\\C\%_{MgCl_2}=\dfrac{0,05\cdot95}{34,88}\cdot100\%\approx13,62\%\\C\%_{HCl\left(dư\right)}=\dfrac{0,04\cdot36,5}{34,88}\cdot100\%\approx4,19\%\end{matrix}\right.\)
