a)
\(n_{H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\); \(n_{Fe_2O_3}=\dfrac{20}{160}=0,125\left(mol\right)\)
PTHH: Fe2O3 + 3H2 --to--> 2Fe + 3H2O
Xét tỉ lệ: \(\dfrac{0,125}{1}>\dfrac{0,35}{3}\) => Hiệu suất tính theo H2
Gọi số mol H2 pư là a (mol)
PTHH: Fe2O3 + 3H2 --to--> 2Fe + 3H2O
\(\dfrac{1}{3}a\)<------a-------->\(\dfrac{2}{3}a\)
=> \(\left\{{}\begin{matrix}m_{Fe\left(A\right)}=\dfrac{2}{3}a.56=\dfrac{112}{3}a\left(g\right)\\m_{Fe_2O_3\left(A\right)}=\left(0,125-\dfrac{1}{3}a\right).160\left(g\right)\end{matrix}\right.\)
=> \(\dfrac{112}{3}a+\left(0,125-\dfrac{1}{3}a\right).160=15,2\)
=> a = 0,3 (mol)
\(H=\dfrac{0,3}{0,35}.100\%=85,71\%\)
b)
\(\left\{{}\begin{matrix}m_{Fe\left(A\right)}=11,2\left(g\right)\\m_{Fe_2O_3\left(A\right)}=4\left(g\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{11,2}{15,2}.100\%=73,68\%\\\%m_{Fe_2O_3}=\dfrac{4}{15,2}.100\%=26,32\%\end{matrix}\right.\)