Đặt \(\begin{cases} n_{Fe}=x(mol)\\ n_{Fe_2O_3}=y(mol)\\ n_{FeCO_3}=z(mol \end{cases} \Rightarrow 56x+160y+116c=30,4(1)\)
\(PTHH:Fe+2HCl\to FeCl_2+H_2\\ Fe_2O_3+6HCl\to 2FeCl_3+3H_2O\\ FeCO_3+2HCl\to FeCl_2+H_2O+CO_2\uparrow\\ M_{\text{hh khí}}=15.2=30(g/mol)\\ \Rightarrow \dfrac{m_{H_2}+m_{CO_2}}{n_{H_2}+n_{CO_2}}=30\\ \Rightarrow \dfrac{2x+44z}{x+z}=30\\ \Rightarrow 28x-14z=0(2)\)
\(m_{muối}=m_{FeCl_2}+m_{FeCl_3}=51,55\\ \Rightarrow 127(x+z)+162,5.2y=51,55\\ \Rightarrow 127x+325y+127z=51,55(3)\\ (1)(2)(3)\Rightarrow \begin{cases} x=0,05(mol)\\ y=z=0,1(mol) \end{cases} \\ \Rightarrow \begin{cases} \%_{Fe}=\dfrac{0,05.56}{30,4}.100\%=9,21\%\\ \%_{Fe_2O_3}=\dfrac{0,1.160}{30,4}.100\%=52,63\%\\ \%_{FeCO_3}=100\%-9,21\%-52,63\%=38,16\%\\ \end{cases}\\ b,\Sigma n_{HCl}=2x+6y+2z=0,9(mol)\\ \Rightarrow C_{M_{HCl}}=\dfrac{0,9}{1,8}=0,5M\)
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