Gọi số mol Fe là x

số mol Mg là y

Số mol oxi là:

\(n_{O_2}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\)

\(3Fe+2O_2\rightarrow Fe_3O_4\\ x.....\dfrac{2}{3}x\)

\(2Mg+O_2\rightarrow2MgO\\ y.....\dfrac{y}{2}\)

Ta có:

\(\left\{{}\begin{matrix}56x+24y=1,92\\\dfrac{2}{3}x+\dfrac{y}{2}=0,025\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\84\left(\dfrac{2}{3}x+\dfrac{y}{2}\right)=2,1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\56x+42y=2,1\end{matrix}\right.\Leftrightarrow18y=0.18\Leftrightarrow y=0,01\left(mol\right)\)

Khối lượng magie trong hỗn hợp là:

\(m_{Mg}=0,01.24=0,24\left(g\right)\)

\(\%m_{Mg}=\dfrac{0,24}{1,92}.100=12.5\%\Rightarrow\%m_{Fe}=87,5\%\)

a) 2Mg + O₂ --t^o--> 2MgO

4Al + 3O₂ --t^o--> 2Al₂O₃

b) Gọi số mol Mg, Al là a, b

=> 24a + 27b = 7,8 

\(n_{O_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

PTHH: 2Mg + O₂ --t^o--> 2MgO

______a--->0,5a-------->a

4Al + 3O₂ --t^o--> 2Al₂O₃

b-->0,75b------->0,5b

=> 0,5a + 0,75b = 0,2

=> a = 0,1 ; b = 0,2

=> m_Mg = 0,1.24 = 2,4 (g); m_Al = 0,2.27 = 5,4 (g)

=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{2,4}{7,8}.100\%=30,769\%\\\%Al=\dfrac{5,4}{7,8}.100\%=69,231\%\end{matrix}\right.\)

c) \(\left\{{}\begin{matrix}n_{MgO}=0,1\left(mol\right)\\n_{Al_2O_3}=0,1\left(mol\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}m_{MgO}=0,1.40=4\left(g\right)\\m_{Al_2O_3}=0,1.102=10,2\left(g\right)\end{matrix}\right.\)

=> m = 4 + 10,2 = 14,2 (g)

\(n_{Mg}=\dfrac{0.48}{24}=0.02\left(mol\right)\)

\(n_{O_2}=\dfrac{0.672}{22.4}=0.03\left(mol\right)\)

\(2Mg+O_2\underrightarrow{t^0}2MgO\)

\(0.02...0.01\)

\(3Fe+2O_2\underrightarrow{t^0}Fe_3O_4\)

\(0.03...\left(0.03-0.01\right)\)

\(m_{Fe}=0.03\cdot56=1.68\left(g\right)\)

\(m_{hh}=1.68+0.48=2.16\left(g\right)\)

Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\x_{Ca}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}24x+40y=17,6\\x=2y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,2\end{matrix}\right.\)

a)\(m_{Mg}=0,4\cdot24=9,6g\)

   \(m_{Ca}=0,2\cdot40=8g\)

b)\(2Mg+O_2\underrightarrow{t^o}2MgO\)

   \(2Ca+O_2\underrightarrow{t^o}2CaO\)

Từ hai pt: \(\Rightarrow\Sigma n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{1}{2}n_{Ca}=\dfrac{1}{2}\cdot0,4+\dfrac{1}{2}\cdot0,2=0,3mol\)

\(\Rightarrow m_{O_2}=0,3\cdot32=9,6g\)

\(V_{O_2}=0,3\cdot22,4=6,72l\)

\(\Rightarrow V_{kk}=5V_{O_2}=5\cdot6,72=33,6l\)

a) 

Có \(\left\{{}\begin{matrix}24.n_{Mg}+40.n_{Ca}=17,6\\n_{Mg}=2.n_{Ca}\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}n_{Ca}=0,2\left(mol\right)\\n_{Mg}=0,4\left(mol\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}m_{Ca}=0,2.40=8\left(g\right)\\m_{Mg}=0,4.24=9,6\left(g\right)\end{matrix}\right.\)

b)

PTHH: 2Ca + O₂ --t^o--> 2CaO 

            0,2-->0,1

             2Mg + O₂ --t^o--> 2MgO

            0,4--->0,2

=> \(V_{O_2}=\left(0,1+0,2\right).22,4=6,72\left(l\right)\)

\(V_{kk}=6,72.5=33,6\left(l\right)\)

\(m_{tăng}=m_{O_2}=7.2\left(g\right)\)

\(n_{O_2}=\dfrac{7.2}{32}=0.225\left(mol\right)\)

\(V_{kk}=5V_{O_2}=5\cdot0.225\cdot22.4=25.2\left(l\right)\)

\(Đặt:n_{Mg}a\left(mol\right),n_{Cu}=b\left(mol\right),n_{Al}=c\left(mol\right)\)

\(Mg+\dfrac{1}{2}O_2\underrightarrow{t^0}MgO\)

\(Cu+\dfrac{1}{2}O_2\underrightarrow{t^0}CuO\)

\(4Al+3O_2\underrightarrow{t^0}2Al_2O_3\)

\(TC:n_{O_2}=0.5a=0.5b=0.75c=\dfrac{0.225}{3}=0.075\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}a=0.15\\b=0.15\\c=0.1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0.15\cdot24=3.6\left(g\right)\\m_{Cu}=0.15\cdot64=9.6\left(g\right)\\m_{Al}=0.1\cdot27=2.7\left(g\right)\end{matrix}\right.\)

\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)

\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)

\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)

\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)

\(a.......\dfrac{2a}{3}\)

\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)

\(b.......\dfrac{3b}{4}\)

\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.15,b=0.2\)

\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)

\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)

\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)

\(\%m_{Al}=100-60.8=39.2\%\)