\(\left[O\right]_{KL}+H_2->H_2O\\ n_{H_2O}=n_{H_2}=\dfrac{14,4}{18}=0,8mol\\ v=0,8.22,4=17,92L\\ m_{KL}=m=47,2-16.0,8=34,4g\)

\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\\ Theo.pt:n_{Fe}=n_{H_2}=0,3\left(mol\right)\\ m_{Fe}=0,3.56=16,8\left(g\right)\\ m_{Cu}=20-16,8=3,2\left(g\right)\\ n_{Cu}=\dfrac{3,2}{64}=0,06\left(mol\right)\\ PTHH:CuO+H_2\underrightarrow{t^o}Cu+H_2O\\ Mol:0,05\leftarrow0,05\leftarrow0,05\\ m_{CuO}=0,05.80=4\left(g\right)\)

a.\(n_{H_2}=\dfrac{6,72}{22,4}=0,3mol\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

0,3                                   0,3 ( mol )

\(m_{Fe}=0,3.56=16,8g\)

\(\%m_{Fe}=\dfrac{16,8}{20}.100=84\%\)

\(\%m_{Cu}=100\%-84\%=16\%\)

b.\(m_{Cu}=20-16,8=3,2g\)

\(n_{Cu}=\dfrac{3,2}{64}=0,05mol\)

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

0,05                      0,05             ( mol )

\(m_{CuO}=0,05.80=4g\)

n\(H2=\frac{4,48}{22,4}=0,2\left(mol\right)\)

\(CuO+H2-->H2O+Cu\)

0,2------0,2(mol)

\(Fe2O3+3H2--->2Fe+3H2O\)

1/15<----0,2(mol)

\(m_{CuO}=0,2.80=16\left(g\right)\)

\(m_{Fe2O3}=\frac{1}{15}.160=\frac{32}{3}\left(g\right)\)

b) \(n_{Cu}=n_{H2}=0,2\left(mol\right)\)

\(m_{Cu}=0,2.64=12,8\left(g\right)\)

\(n_{Fe}=\frac{2}{3}n_{H2}=\frac{2}{15}\left(mol\right)\)

\(m_{Fe}=\frac{2}{15}.56=\frac{112}{15}\left(g\right)\)

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

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:

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

\(a) n_{Fe_3O_4} = a(mol) ; n_{CuO} = b(mol)\\ \Rightarrow 232a + 80b = 117,6(1)\\ Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O\\ CuO + H_2 \xrightarrow{t^o} Cu + H_2O\\ n_{H_2} = 4a + b = \dfrac{40,32}{22,4}=1,8(2)\\ (1)(2)\Rightarrow a = 0,3 ;b = 0,6\\ \%m_{Fe_3O_4} = \dfrac{0,3.232}{117,6}.100\% =59,18\%\\ \%m_{CuO} = 100\%-59,18\% = 40,82\%\)

\(b)\\ n_{Fe} = 3a = 0,9(mol)\\ n_{Cu} = b = 0,6(mol)\\ \%m_{Fe} = \dfrac{0,9.56}{0,9.56+0,6.64}.100\% = 56,76\%\\ \%m_{Cu} = 100\% - 56,76\% = 43,24\%\)

\(n_{CuO}=a\left(mol\right),n_{Fe_2O_3}=b\left(mol\right)\)

\(m=80a+160b=6\left(g\right)\left(1\right)\)

\(n_{H_2}=\dfrac{2.24}{22.4}=0.1\left(mol\right)\)

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

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

\(n_{H_2}=a+3b=0.1\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.025,b=0.025\)

\(m_{kl}=0.025\cdot64+0.025\cdot2\cdot56=4.4\left(g\right)\)

\(b.\)

\(m_{hh}=3m_{Fe_2O_3}=6\left(g\right)\)

\(\Rightarrow n_{Fe_2O_3}=\dfrac{2}{160}=0.0125\left(mol\right)\)

\(\Rightarrow n_{CuO}=0.0125\left(mol\right)\)

\(m_{kl}=0.0125\cdot2\cdot56+0.0125\cdot64=2.2\left(g\right)\)