Gọi \(\left\{{}\begin{matrix}n_{Cu}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\end{matrix}\right.\left(đk:a,b>0\right)\)
PTHH:
\(Cu+2H_2SO_{4\left(đặc,nóng\right)}\rightarrow CuSO_4+SO_2\uparrow+2H_2O\)
a------------------------------->a
\(2Fe+6H_2SO_{4\left(đặc,nóng\right)}\rightarrow Fe_2\left(SO_4\right)_3+3SO_2\uparrow+6H_2O\)
b----------------------------------->0,5b
\(2NaOH+CuSO_4\rightarrow Cu\left(OH\right)_2\downarrow+Na_2SO_4\)
a---------->a
\(6NaOH+Fe_2\left(SO_4\right)_3\rightarrow2Fe\left(OH\right)_3\downarrow+3Na_2SO_4\)
0,5b----------->a
Theo bài ra, ta có hệ: \(\left\{{}\begin{matrix}160a+400.0,5b=71,2\\98a+107b=40,2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=0,17\left(mol\right)\\b=0,22\left(mol\right)\end{matrix}\right.\left(TM\right)\)
\(\rightarrow m=0,17.64+0,22.56=23,2\left(g\right)\)