Gọi \(\left\{{}\begin{matrix}n_{Mg}:a\left(mol\right)\\n_{Fe}:b\left(mol\right)\\n_{Al}:c\left(mol\right)\end{matrix}\right.\)
\(m_{O2}=51,6-32,4=19,2\left(g\right)\)
\(\Rightarrow n_{O2}=\frac{19,2}{32}=0,6\left(mol\right)\)
TN1:
\(Mg-2e\rightarrow Mg^{+2}\)
a_____2a_____
\(O_2+2e\rightarrow O^{-2}\)
0,6___1,2____
\(3Fe-1e\rightarrow Fe^{+\frac{8}{3}}\)
b____b/3_______
\(Al-3e\rightarrow Al^{+3}\)
c_____3c______
Theo BTe
\(\Rightarrow\left\{{}\begin{matrix}2a+\frac{b}{3}+3c=1,2\left(1\right)\\24a+56b+27c=32,4\left(2\right)\end{matrix}\right.\)
TN2: Gọi \(\left\{{}\begin{matrix}n_{Mg}:ka\left(mol\right)\\n_{Fe}:kb\left(mol\right)\\n_{Al}:kc\left(mol\right)\end{matrix}\right.\)
Ta có:
\(ka+kb+kc=0,9\)
\(n_{H2}=\frac{24,64}{22,4}=1,1\left(mol\right)\)
\(\Rightarrow ka+kb+1,5kc=1,1\)
\(\Rightarrow\frac{ka+kb+kc}{ka+kb+1,5kc}=\frac{0,9}{1,1}\)
\(\Rightarrow\frac{a+b+c}{a+b+1,5c}=\frac{9}{11}\)
\(\Rightarrow2a+2b-12,5c=0\left(3\right)\)
\(\left(1\right)+\left(2\right)+\left(3\right)\Rightarrow\left\{{}\begin{matrix}a=0,36\\b=0,066\\c=0,117\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\frac{0,36.24.100}{32,4}=27\%\\\%m_{Fe}=\frac{0,366.56.100}{32,4}=63\%\\\%m_{Al}=100\%-27\%-63\%=10\%\end{matrix}\right.\)
