\(a.2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ Đặt:\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\\ Tacó:\left\{{}\begin{matrix}27x+56y=17,6\\1,5x+y=\dfrac{61}{112}\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=\dfrac{43}{190}\\y=\dfrac{2183}{10640}\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}\%m_{Al}=34,72\%\\m_{Fe}=65,28\%\end{matrix}\right.\\ b.BTNT\left(H\right):n_{H_2SO_4}=n_{H_2}=\dfrac{61}{112}\left(mol\right)\\ \Rightarrow m_{ddH_2SO_4}=\dfrac{\dfrac{61}{112}.98}{30\%}=177,92\left(g\right)\\ m_{ddsaupu}=17,6+177,92-\dfrac{61}{11,2}.2=194,43\left(g\right)\\Tacó:\left\{{}\begin{matrix}n_{AlCl_3}=\dfrac{43}{190}\\n_{FeCl_2}=\dfrac{2183}{10640}\end{matrix}\right. \\ C\%_{AlCl_3}=15,54\%;C\%_{FeCl_2}=13,4\%\)
\(a,\) Đặt \(\begin{cases} n_{Al}=x(mol)\\ n_{Fe}=y(mol \end{cases} \Rightarrow 27x+56y=17,6(1)\)
\(n_{H_2}=\dfrac{12,2}{22,4}=0,54(mol)\\ PTHH:2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ Fe+H_2SO_4\to FeSO_4+H_2\\ \Rightarrow 1,5x+y=0,54(2)\\ (1)(2)\Rightarrow \begin{cases} x=0,22(mol)\\ y=0,21(mol) \end{cases} \Rightarrow \begin{cases} \%_{Al}=\dfrac{0,22.27}{17,6}.100\%=33,75\%\\ \%_{Fe}=100\%-33,75\%=66,25\% \end{cases}\\ b,\Sigma n_{H_2SO_4}=1,5x+y=0,54(mol)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{0,54.98}{30\%}=176,4(g)\)
\(m_{H_2}=0,54.2=1,08(g)\\ \Rightarrow m_{dd{\text{ sau phản ứng}}}=17,6+176,4-1,08=192,92(g)\\ n_{Al_2(SO_4)_3}=\dfrac{1}{2}n_{Al}=0,11(mol);n_{FeSO_4}=n_{Fe}=0,21(mol)\\ \Sigma m_{\text{các chất sau phản ứng}}=m_{Al_2(SO_4)_3}+m_{FeSO_4}=0,11.342+0,21.152=69,54(g)\\ \Rightarrow C\%_{\text{chất sau phản ứng}}=\dfrac{69,54}{192,92}.100\%=36,05\%\)
