a) \(n_{O_2}=\dfrac{22,4.20\%}{22,4}=0,2\left(mol\right)\)
Gọi số mol Al, Mg là a, b (mol)
=> 27a + 24b = 7,8 (1)
PTHH: 4Al + 3O2 --to--> 2Al2O3
a-->0,75a------>0,5a
2Mg + O2 --to--> 2MgO
b-->0,5b------->b
=> 0,75a + 0,5b = 0,2 (2)
(1)(2) => a = 0,2; b = 0,1
=> \(\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Mg}=0,1.24=2,4\left(g\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{5,4}{7,8}.100\%=69,23\%\\\%m_{Mg}=\dfrac{2,4}{7,8}.100\%=30,77\%\end{matrix}\right.\)
b)
C1: mhh oxit = 7,8 + 0,2.32 = 14,2 (g)
C2: \(\left\{{}\begin{matrix}m_{Al_2O_3}=0,1.102=10,2\left(g\right)\\m_{MgO}=0,1.40=4\left(g\right)\end{matrix}\right.\)
=> mhh oxit = 10,2 + 4 = 14,2 (g)