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\(n_{Mg}=\dfrac{0.48}{24}=0.02\left(mol\right)\)
\(n_{O_2}=\dfrac{0.672}{22.4}=0.03\left(mol\right)\)
\(2Mg+O_2\underrightarrow{t^0}2MgO\)
\(0.02...0.01\)
\(3Fe+2O_2\underrightarrow{t^0}Fe_3O_4\)
\(0.03...\left(0.03-0.01\right)\)
\(m_{Fe}=0.03\cdot56=1.68\left(g\right)\)
\(m_{hh}=1.68+0.48=2.16\left(g\right)\)
Gọi x, y lần lượt là số mol của Fe và Mg.
Theo đề, ta có: \(56x+24y=13,2\) (*)
Ta có: \(n_{O_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH:
\(3Fe+2O_2\overset{t^o}{--->}Fe_3O_4\left(1\right)\)
\(2Mg+O_2\overset{t^o}{--->}2MgO\left(2\right)\)
Theo PT(1): \(n_{O_2}=\dfrac{2}{3}.n_{Fe}=\dfrac{2}{3}x\left(mol\right)\)
Theo PT(2): \(n_{O_2}=\dfrac{1}{2}.n_{Mg}=\dfrac{1}{2}y\left(mol\right)\)
\(\Rightarrow\dfrac{2}{3}x+\dfrac{1}{2}y=0,2\) (**)
Từ (*) và (**), ta có HPT:
\(\left\{{}\begin{matrix}56x+24y=13,2\\\dfrac{2}{3}x+\dfrac{1}{2}y=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,15\\y=0,2\end{matrix}\right.\)
\(\Rightarrow m_{Fe}=0,15.56=8,4\left(g\right)\)
\(m_{Mg}=0,2.24=4,8\left(g\right)\)
PTHH: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\) (1)
\(2Mg+O_2\underrightarrow{t^o}2MgO\) (2)
Ta có: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{3}{4}n_{Al}=\dfrac{3}{4}\cdot\dfrac{13,5}{27}=0,375\left(mol\right)\\n_{O_2\left(1\right)}+n_{O_2\left(2\right)}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{O_2\left(2\right)}=0,375\left(mol\right)\) \(\Rightarrow n_{Mg}=0,75\left(mol\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{0,75\cdot24}{0,75\cdot24+13,5}\cdot100\%\approx57,14\%\)
a/ \(2Mg\left(0,02\right)+O_2\left(0,01\right)\rightarrow2MgO\) (1)
\(3Fe\left(0,03\right)+2O_2\left(0,02\right)\rightarrow Fe_3O_4\)(2)
\(n_{Mg}=\dfrac{0,48}{24}=0,02\left(mol\right)\)
\(n_{O_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)
\(\Rightarrow n_{O_2\left(2\right)}=0,03-0,01=0,02\left(mol\right)\)
\(\Rightarrow m_{Fe}=0,03.56=1,68\left(g\right)\)
\(\Rightarrow m_{hh}=1,68+0,48=2,16\left(g\right)\)
b/ \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,48}{2,16}.100\%=22,22\%\\\%Fe=100\%-22,22\%=77,78\%\end{matrix}\right.\)