\(\left\{{}\begin{matrix}n_{Fe}=a\left(mol\right)\\n_{Cu}=b\left(mol\right)\\n_{Fe_2O_3}=c\left(mol\right)\\n_{CuO}=d\left(mol\right)\end{matrix}\right.\)⇒ 56a + 64b + 160c + 80d = 12,4(1)
BT e : \(2n_{SO_2} = 3n_{Fe} + 2n_{Cu}\)
⇒ 3a + 2b = \(2. \dfrac{2,8}{22,4} = 0,25\) ⇔ 8(3a + 2b) = 0,25.8 ⇔ 24a + 16b = 2(2)
Lấy (1) + (2),ta có :
80a + 80b + 160c + 80d = 12,4 + 2 = 14,4
Bảo toàn nguyên tố với Fe,Cu
2Fe → Fe2O3
a..............0,5a.........(mol)
Cu → CuO
b............b...............(mol)
Fe2O3 → Fe2O3
c....................c...............(mol)
CuO → CuO
d...................d................(mol)
Vậy :
\(m_Z = m_{Fe_2O_3} + m_{CuO} = 160(0,5a + c) + 80(b+d)\\ = 80a + 80b + 160c + 80d \\= 14,4(gam)\)