\(a.Fe_2O_3+3H_2-^{t^o}\rightarrow2Fe+3H_2O\\ Fe_3O_4+4H_2-^{t^o}\rightarrow3Fe+4H_2O\\ Đặt:\left\{{}\begin{matrix}Fe_2O_3=x\left(mol\right)\\Fe_3O_4=y\left(mol\right)\end{matrix}\right.\\ Tacó:\left\{{}\begin{matrix}160x+232y=27,6\\3x+4y=0,5\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\\ \Rightarrow\%Fe_2O_3=57,97\%;\%Fe_3O_4=42,03\%\\ b.\Sigma n_{Fe}=2n_{Fe_2O_3}+3n_{Fe_3O_4}=0,35\left(mol\right)\\ \Rightarrow m_{Fe}=19,6\left(g\right)\)

\(n_{H_2}=\dfrac{3,36}{22,4}=0,15(mol)\\ Zn+H_2SO_4\to ZnSO_4+H_2\\ \Rightarrow n_{Zn}=0,15(mol)\\ \Rightarrow \%_{Zn}=\dfrac{0,15.65}{15,75}.100\%=61,9\%\\ \Rightarrow \%_{Cu}=100\%-61,9\%=38,1\%\\ b,n_{ZnSO_4}=0,15(mol)\\ \Rightarrow m_{ZnSO_4}=0,15.161=24,15(g)\)

a) \(n_{Zn}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

PTHH: Zn + H₂SO₄ --> ZnSO₄ + H₂

_____0,15<-------------0,15<---0,15

=> m_Zn = 0,15.65 = 9,75(g)

=> \(\left\{{}\begin{matrix}\%Zn=\dfrac{9,75}{17,75}.100\%=54,93\%\\\%Cu=100\%-54,93\%=45,07\%\end{matrix}\right.\)

b) m_ZnSO4 = 0,15.161=24,15(g)

PTHH: \(2Mg+O_2\underrightarrow{t^o}2MgO\)  (1)

            \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)  (2)

Ta có: \(\left\{{}\begin{matrix}\Sigma n_{O_2}=\dfrac{33,6}{22,4}=1,5\left(mol\right)\\n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\Rightarrow n_{O_2\left(2\right)}=0,075\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{O_2\left(1\right)}=1,425\left(mol\right)\) \(\Rightarrow n_{Mg}=2,85\left(mol\right)\)

\(\Rightarrow\%m_{Mg}=\dfrac{2,85\cdot24}{2,85\cdot24+2,7}\cdot100\%\approx96,2\%\)

\(\Rightarrow\%m_{Al}=3,8\%\) 

\(n_{O_2} =\dfrac{33,6}{22,4} = 1,5(mol)\\ n_{Al} = \dfrac{2,7}{27} = 0,1(mol)\\ 2Mg + O_2 \xrightarrow{t^o} 2MgO\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ n_{O_2} = \dfrac{1}{2}n_{Mg} + \dfrac{3}{4}n_{Al}\\ \Rightarrow n_{Mg} = 2,85(mol)\)

Vậy :

\(\%m_{Mg} = \dfrac{2,85.24}{2,85.24 + 2,7}.100\% = 96,2\%\\ \%m_{Al} = 100\% - 96,2\% = 3,8\%\)

Gọi số mol Zn, Al là a, b (mol)

=> 65a + 27b = 18,4 (1)

\(n_{O_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

              b-->0,75b

            2Zn + O₂ --t^o--> 2ZnO

              a-->0,5a

=> 0,5a + 0,75b = 0,25 (2)

(1)(2) => a = 0,2 (mol); b = 0,2 (mol)

=> \(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,2.65}{18,4}.100\%=70,65\%\\\%m_{Al}=\dfrac{0,2.27}{18,4}.100\%=29,35\%\end{matrix}\right.\)

\(2Zn+O_2\rightarrow 2ZnO \)

\(4Al+3O_2\rightarrow 2Al_2O_3 \)

\(n_{O_2}=\dfrac{5,6}{22,4}=0,25(mol) \)

\(Theo PT : x = 0,2 mol ; y = 0,2 mol \)

\(\%\)\(m_{Zn}=\dfrac{0,2.65}{18,4}.100\)\(\%\)\(=70,65 \)\(\%\)

\(\%\)\(m_{Al}=100\)\(\%\)\(-70,65=29,35\)\(\%\)

\(^nO_2=\frac{6,72}{22,4}=0,3\left(mol\right)\)

\(4X+3O_2\rightarrow^{t^o}2X_2O_3\)

Theo PT: \(^nX=\frac{4}{3}.^nO_2=\frac{4}{3}.0,3=0,4\left(mol\right)\)

\(\Rightarrow^mX=0,4.^MX=10,8\)

\(\Rightarrow^MX=27\)

\(\Rightarrow X:Al\)

Theo PT: \(^nX_2O_3=\frac{2}{3}.^nO_2=\frac{2}{3}.0,3=0,2\left(mol\right)\)

\(\Rightarrow^mX_2O_3=0,2.\left(2.^MX+3.16\right)=0,2.\left(2.27+48\right)=0,2.102=20,4\left(g\right)\)

Vậy \(X:Al\)

       \(^mX_2O_3\)tạo thành là \(20,4\left(g\right)\)

Tham khảo nhé~

Cảm ơn bạn nhiều lắm!!!!!!!!

a, \(2Al+3Cl_2\underrightarrow{t^o}2AlCl_3\)

\(2Fe+3Cl_2\underrightarrow{t^o}2FeCl_3\)

b, Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 56y = 7,8 (1)

Theo PT: \(n_{Cl_2}=\dfrac{3}{2}n_{Al}+\dfrac{3}{2}n_{Fe}=\dfrac{3}{2}x+\dfrac{3}{2}y=\dfrac{8,96}{22,4}=0,4\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{107}{435}\left(mol\right)\\y=\dfrac{3}{145}\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=\dfrac{107}{435}.27\approx6,64\left(g\right)\\m_{Fe}=\dfrac{3}{145}.56\approx1,16\left(g\right)\end{matrix}\right.\)