\(n_{Al}=\dfrac{13,5}{27}=0,5\left(mol\right)\)
Theo ĐLBTKL:
\(m_{t\text{ăn}g}=m_{O_2\left(p\text{ư}\right)}=3,2\left(g\right)\Rightarrow n_{O_2\left(p\text{ư}\right)}=\dfrac{3,2}{32}=0,1\left(mol\right)\)
PTHH: \(4Al+3O_2\xrightarrow[]{t^o}2Al_2O_3\)
Theo PTHH: \(n_{Al\left(p\text{ư}\right)}=\dfrac{4}{3}.n_{O_2}=\dfrac{4}{3}.0,1=\dfrac{2}{15}\left(mol\right)< 0,5=n_{Al\left(b\text{đ}\right)}\)
`=>` Al dư, O2 hết
\(n_{Al\left(d\text{ư}\right)}=0,5-\dfrac{2}{15}=\dfrac{11}{30}\left(mol\right)\)
Theo PTHH: \(n_{Al_2O_3}=\dfrac{2}{3}.n_{O_2}=\dfrac{2}{3}.0,1=\dfrac{1}{15}\left(mol\right)\)
Vậy chất rắn sau phản ứng có: \(\left\{{}\begin{matrix}Al:m_{Al}=\dfrac{11}{30}.27=9,9\left(g\right)\\Al_2O_3:m_{Al_2O_3}=\dfrac{1}{15}.102=6,8\left(g\right)\end{matrix}\right.\)