PTHH: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
2a______3a__________a_______3a (mol)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
b_______b________b______b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}27\cdot2a+24b=7,8\\3a+b=\dfrac{200\cdot19,6\%}{98}=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1\cdot24=2,4\left(g\right)\\m_{Al}=5,4\left(g\right)\\n_{Al_2\left(SO_4\right)_3}=0,1\left(mol\right)=n_{MgSO_4}\\n_{H_2}=0,4\left(mol\right)\Rightarrow m_{H_2}=0,4\cdot2=0,8\left(g\right)\end{matrix}\right.\)
Mặt khác: \(m_{dd}=m_{KL}+m_{ddH_2SO_4}-m_{H_2}=207\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,1\cdot342}{207}\cdot100\%\approx16,52\%\\C\%_{MgSO_4}=\dfrac{0,1\cdot120}{207}\cdot100\%\approx5,8\%\end{matrix}\right.\)