\(\left\{\begin{matrix}m_{Fe_3O_4}+m_{CuO}=31,2\left(g\right)\\m_{Fe_3O_4-}m_{CuO}=15,2\left(g\right)\end{matrix}\right.\)
\(\Leftrightarrow\left\{\begin{matrix}m_{Fe_3O_4}=23,2\left(g\right)\\m_{CuO}=8\left(g\right)\end{matrix}\right.\)
\(\Rightarrow\)\(n_{Fe_3O_4}=0,1\left(mol\right)\)
\(\Rightarrow n_{CuO}=0.1\left(mol\right)\)
PTPƯ : CuO + \(H_2\) \(\underrightarrow{t^o}\) Cu + \(H_2O\) (1)
\(Fe_3O_4+4H_2\underrightarrow{t^o}3Fe+4H_2O\) (2)
Theo PTPƯ \(n_{Cu}=n_{CuO}=0,1\left(mol\right)\)
\(\Rightarrow m_{Cu}=64.0,1=6,4\left(g\right)\)
- \(3n_{Fe}=n_{Fe_3O_4}=0,1.3=0.3\left(mol\right)\)
\(\Rightarrow m_{Fe}=56.0,3=16,8\left(g\right)\)
Gọi khối lượng của CuO và Fe3O4 lần lược là x, y thì ta có hệ:
\(\left\{\begin{matrix}x+y=31,2\\y-x=15,2\end{matrix}\right.\)
\(\Leftrightarrow\left\{\begin{matrix}x=8\\y=23,2\end{matrix}\right.\)
\(CuO\left(0,1\right)+H_2\rightarrow Cu\left(0,1\right)+H_2O\)
\(Fe_3O_4\left(0,1\right)+4H_2\rightarrow3Fe\left(0,3\right)+4H_2O\)
\(n_{CuO}=\frac{8}{80}=0,1\left(mol\right)\)
\(\Rightarrow m_{Cu}=0,1.64=6,4\left(g\right)\)
\(n_{Fe_3O_4}=\frac{23,2}{232}=0,1\left(mol\right)\)
\(\Rightarrow m_{Fe}=0,3.56=16,8\left(g\right)\)