\(n_{Al}=0,5\left(mol\right);n_{O_2}=0,4\left(mol\right)\\ 4Al+3O_2-^{t^o}\rightarrow2Al_2O_3\\ LTL:\dfrac{0,5}{4}< \dfrac{0,4}{3}\Rightarrow O_2dư\\ n_{Al_2O_3}=\dfrac{1}{2}n_{Al}=0,25\left(mol\right)\\ \Rightarrow m_{Al_2O_3}=0,25.102=25,5\left(g\right)\\ n_{O_2\left(dư\right)}=0,4-\dfrac{0,5.3}{4}=0,025\left(mol\right)\\ \Rightarrow m_{O_2}=0,8\left(g\right)\)
a) \(n_{Al}=\dfrac{13,5}{27}=0,5\left(mol\right)\)
\(n_{O_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
PTHH: 4Al + 3O2 --to--> 2Al2O3
Xét tỉ lệ: \(\dfrac{0,5}{4}< \dfrac{0,4}{3}\) => Al hết, O2 dư
PTHH: 4Al + 3O2 --to--> 2Al2O3
_____0,5--->0,375--->0,25
=> mAl2O3 = 0,25.102 = 25,5(g)
b) mO2(dư) = (0,4-0,375).32 = 0,8(g)