Theo đề gọi \(\left\{{}\begin{matrix}n_{Fe_2O_3}=3x\left(mol\right)\\n_{CuO}=2x\left(mol\right)\end{matrix}\right.\)

Có: \(m_{hh}=m_{Fe_2O_3}+m_{CuO}=160.3x+80.2x=32\)

\(\Rightarrow x=0,05\\ \Rightarrow\left\{{}\begin{matrix}n_{Fe_2O_3}=0,05.3=0,15\left(mol\right)\\n_{CuO}=0,05.2=0,1\left(mol\right)\end{matrix}\right.\)

\(Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)

0,15 ---->0,45-->0,3

\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)

0,1 --->0,1-->0,1

a. \(m_{kim.loại}=m_{Fe}+m_{Cu}=0,3.56+0,1.64=23,2\left(g\right)\)

b. \(V_{H_2}=\left(0,45+0,1\right).22,4=12,32\left(l\right)\)

\(\left\{{}\begin{matrix}CuO:a\\Fe2O3:2a\end{matrix}\right.\)

a.\(80a+320a=24\Leftrightarrow a=0.06\)

\(\Rightarrow\left\{{}\begin{matrix}CuO=0.06\\Fe2O3=0.12\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}CuO=4.8g\\Fe2O3=19.2g\end{matrix}\right.\)

b.\(CuO+H2\rightarrow Cu+H2O\)

    a           a         a

\(Fe2O3+3H2\rightarrow2Fe+3H2O\)

    2a          6a       4a

\(\Rightarrow V_{H2}=\left(a+6a\right)\times22.4=9.408l\)

c.nHCl = 0.2 mol

\(Fe+2HCl\rightarrow FeCl2+H2\)

 0.1     0.2

m chất rắn còn lại = mCu + m Fe ban đầu - m Fe bị hòa tan

                             = \(a\times64+4a\times56-0.1\times56=11.68g\)

a.b.

\(\left\{{}\begin{matrix}n_{Fe_2O_3}=40.80\%=32g\\m_{CuO}=40-32=8g\end{matrix}\right.\)

\(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{32}{160}=0,2mol\\n_{CuO}=\dfrac{8}{80}=0,1mol\end{matrix}\right.\)

\(CuO+H_2\rightarrow\left(t^o\right)Cu+H_2O\)

0,1        0,1            0,1                 ( mol )

\(Fe_2O_3+3H_2\rightarrow\left(t^o\right)2Fe+3H_2O\)

0,2            0,6               0,4                  ( mol )

\(V_{H_2}=\left(0,1+0,6\right).22,4=15,68l\)

\(\left\{{}\begin{matrix}m_{Cu}=0,1.64=6,4g\\m_{Fe}=0,4.56=22,4g\end{matrix}\right.\)

\(\rightarrow\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{6,4}{6,4+22,4}.100=22,22\%\\\%m_{Fe}=100\%-22,22\%=77,78\%\end{matrix}\right.\)

c.
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\) ( Cu không phản ứng với H₂SO₄ loãng )

0,4                                      0,4    ( mol )

\(V_{H_2}=0,4.22,4=8,96l\)

\(n_{CuO}=2a\left(mol\right)\Rightarrow n_{Fe_2O_3}=a\left(mol\right)\)

\(m_X=80\cdot2a+160a=80\left(g\right)\)

\(\Rightarrow a=0.25\left(mol\right)\)

\(CuO+H_2\underrightarrow{^{^{t^0}}}Cu+H_2O\)

\(Fe_2O_3+3H_2\underrightarrow{^{^{t^0}}}2Fe+3H_2O\)

\(n_{H_2}=0.5+0.25\cdot3=1.25\left(mol\right)\)

\(V_{H_2}=1.25\cdot22.4=28\left(l\right)\)

\(m_{cr}=0.5\cdot64+0.5\cdot56=60\left(g\right)\)

Đổi 2,016 dm3 = 2,016 l

nH2 = 2,016/22,4 = 0,09 (mol)

Gọi nFe2O3 = a (mol); nCuO = b (mol)

160a + 80b = 5,6 (g) (1)

PTHH:

Fe2O3 + 3H2 -> (t°) 2Fe + 3H2O

Mol: a ---> 3a ---> 2a ---> 3a

CuO + H2 -> (t°) Cu + H2O

Mol: b ---> b ---> b ---> b

3a + b = 0,09 (mol) (2)

Từ (1) và (2) => a = 0,02 (mol); b = 0,03 (mol)

mFe2O3 = 0,02 . 160 = 3,2 (g)

mCuO = 0,03 . 80 = 2,4 (g)

mH2O = (0,02 . 3 + 0,03) . 18 = 1,62 (g)

mFe = 2 . 0,02 . 56 = 2,24 (g)

mCu = 0,03 . 64 = 1,92 (g)

\(a)Gọi : n_{CuO} = x(mol) \Rightarrow n_{Fe_2O_3} = \dfrac{80a.2}{160}=x(mol)\\ CuO + H_2 \xrightarrow{t^o} Cu + H_2O\\ Fe_2O_3 + 3H_2 \xrightarrow{t^o} 2Fe + H_2O\\ n_{H_2} = x + x = \dfrac{8,96}{22,4} = 0,4(mol)\Rightarrow x = 0,2\\ a = 0,2.80 + 0,2.160 = 48(gam)\\ b)\\ n_{Fe} = 2n_{Fe_2O_3} = 0,4(mol) \Rightarrow m_{Fe} = 0,4.56 = 22,4(gam)\\ n_{Cu} = n_{CuO} = 0,2(mol) \Rightarrow m_{Cu} = 0,2.64 = 12,8(gam)\)

Ta có: \(n_{H_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\) \(\Rightarrow m_{H_2}=0,225\cdot2=0,45\left(g\right)\)

Bảo toàn nguyên tố: \(n_{H_2}=n_{H_2O}=0,225\left(mol\right)\) \(\Rightarrow m_{H_2O}=0,225\cdot18=4,05\left(g\right)\)

Bảo toàn khối lượng: \(m_{KL}=m_{oxit\:}+m_{H_2}-m_{H_2O}=10,4\left(g\right)\)

C

\(n_{H_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\)

PTHH: CuO + H₂ → Cu + H₂O

Mol:      x         x         x

PTHH: Fe₂O₃ + 3H₂ → 2Fe + 3H₂O

Mol:       y            3y        2y

Ta có hpt:\(\left\{{}\begin{matrix}80x+160y=14\\x+3y=0,225\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,075\left(mol\right)\\y=0,05\left(mol\right)\end{matrix}\right.\)

\(m_{hh.kim.loại}=m_{Cu}+m_{Fe}=0,075.64+2.0,05.56=10,4\left(g\right)\)

\(n_{H_2}=\dfrac{5,04}{22,4}=0,225\left(mol\right)\)

PTHH:

\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\\ Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)

Theo 2 pthh trên: \(n_{H_2O}=n_{H_2}=0,225\left(mol\right)\)

\(\rightarrow m_{H_2O}=0,225.18=4,05\left(g\right)\\ \rightarrow m_{H_2}=0,225.2=0,45\left(g\right)\)

Áp dụng ĐLBTKL, ta có:

\(m_{oxit\left(CuO,Fe_2O_3\right)}+m_{H_2}=m_{\text{kim loại}\left(Cu,Fe\right)}+m_{H_2O}\\ \rightarrow m_{\text{kim loại}\left(Cu,Fe\right)}=14+0,45-4,05=10,4\left(g\right)\)