Bài 3:
Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\) => 27a + 56b = 21,9 (*)
\(n_{O_2}=\dfrac{10,64}{22,4}=0,475\left(mol\right)\)
PTHH:
\(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)
a----->0,75a-->0,5a
\(3Fe+2O_2\xrightarrow[]{t^o}Fe_3O_4\)
b---->\(\dfrac{2}{3}b\)------->\(\dfrac{1}{3}b\)
=> \(0,75a+\dfrac{2}{3}b=0,475\) (**)
Từ (*), (**) => a = 0,5; b = 0,15
=> Trước phản ứng \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,5.27}{21,9}.100\%=61,64\%\\\%m_{Fe}=100\%-61,64\%=38,36\%\end{matrix}\right.\)
mchất rắn sau phản ứng = 21,9 + 0,475.32 = 37,1 (g)
=> Sau phản ứng \(\left\{{}\begin{matrix}\%m_{Al_2O_3}=\dfrac{0,5.0,5.102}{37,1}.100\%=68,73\%\\\%m_{Fe_3O_4}=100\%-68,73\%=31,27\%\end{matrix}\right.\)