a) Gọi số mol H₂ là x

=> \(n_{H_2O}=x\left(mol\right)\)

Theo ĐLBTKL: \(m_A+m_{H_2}=m_B+m_{H_2O}\)

=> 200 + 2x = 156 + 18x

=> x = 2,75 (mol)

=> \(V_{H_2}=2,75.22,4=61,6\left(l\right)\)

b) Gọi \(\left\{{}\begin{matrix}n_{CuO}=a\left(mol\right)\\n_{Fe_2O_3}=1,5a\left(mol\right)\\n_{Al_2O_3}=b\left(mol\right)\end{matrix}\right.\)

=> 80a + 240a + 102b = 200

=> 320a + 102b = 200

PTHH: CuO + H₂ --t^o--> Cu + H₂O

              a---------------->a

            Fe₂O₃ + 3H₂ --t^o--> 2Fe + 3H₂O

             1,5a------------------>3a

=> 64a + 168a + 102b = 156

=> 232a + 102b = 156

=> a = 0,5; b = \(\dfrac{20}{51}\)

=> \(\left\{{}\begin{matrix}\%m_{CuO}=\dfrac{0,5.80}{200}.100\%=20\%\\\%m_{Fe_2O_3}=\dfrac{0,75.160}{200}.100\%=60\%\\\%m_{Al_2O_3}=\dfrac{\dfrac{20}{51}.102}{200}.100\%=20\%\end{matrix}\right.\)

c) \(n_{H_2}=\dfrac{2,75}{5}=0,55\left(mol\right)\)

\(n_{FeO\left(tt\right)}=\dfrac{36}{72}=0,5\left(mol\right)\)

Gọi số mol FeO phản ứng là t (mol)

PTHH: FeO + H₂ --t^o--> Fe + H₂O

              t--------------->t

=> 56t + (0,5-t).72 = 29,6

=> t = 0,4 (mol)

=> \(H\%=\dfrac{0,4}{0,5}.100\%=80\%\)

Bài 1:

a) PTHH: \(Fe_2O_3+3H_2\xrightarrow[]{t^o}2Fe+2H_2O\)

                \(CuO+H_2\xrightarrow[]{t^o}Cu+H_2O\)

b) Ta có: \(\left\{{}\begin{matrix}m_{Fe_2O_3}=20\cdot80\%=16\left(g\right)\\m_{CuO}=20-16=4\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{16}{160}=0,1\left(mol\right)\\n_{CuO}=\dfrac{4}{80}=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{H_2}=3n_{Fe_2O_3}+n_{CuO}=0,35\left(mol\right)\) \(\Rightarrow V_{H_2}=0,35\cdot22,4=7,84\left(l\right)\)

c) Theo các PTHH: \(\left\{{}\begin{matrix}n_{Fe}=2n_{Fe_2O_3}=0,2\left(mol\right)\\n_{Cu}=n_{CuO}=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow m_{hhB}=m_{Fe}+m_{Cu}=0,2\cdot56+0,05\cdot64=14,4\left(g\right)\)

Bài 2:

PTHH: \(Fe_2O_3+3H_2\xrightarrow[]{t^o}2Fe+3H_2O\)

            \(CuO+H_2\xrightarrow[]{t^o}Cu+H_2O\)

a) Vì khối lượng Cu bằng \(\dfrac{6}{5}\) khối lượng Fe 

\(\Rightarrow\left\{{}\begin{matrix}m_{Cu}=\dfrac{26,4}{6+5}\cdot6=14,4\left(g\right)\\m_{Fe}=26,4-14,4=12\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}n_{Cu}=\dfrac{14,4}{64}=0,225\left(mol\right)\\n_{Fe}=\dfrac{12}{56}=\dfrac{3}{14}\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{H_2}=\dfrac{3}{2}n_{Fe}+n_{Cu}=\dfrac{9}{28}+0,225=\dfrac{153}{280}\left(mol\right)\) \(\Rightarrow V_{H_2}=\dfrac{153}{280}\cdot22,4=12,24\left(l\right)\)

b) Theo các PTHH: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=\dfrac{3}{28}\left(mol\right)\\n_{CuO}=n_{Cu}=0,225\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Fe_2O_3}=\dfrac{3}{28}\cdot160\approx17,14\left(g\right)\\m_{CuO}=0,225\cdot80=18\left(g\right)\end{matrix}\right.\) \(\Rightarrow m_{hh}=35,14\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{17,14}{35,14}\cdot100\%\approx48,78\%\\\%m_{CuO}=51,22\%\end{matrix}\right.\)

Bài 3:

PTHH: \(CuO+CO\xrightarrow[]{t^o}Cu+CO_2\uparrow\)

            \(Fe_3O_4+4CO\xrightarrow[]{t^o}3Fe+4CO_2\uparrow\)

a) Ta có: \(\left\{{}\begin{matrix}m_{Fe_3O_4}=\dfrac{31,2+15,2}{2}=23,2\left(g\right)\\m_{CuO}=31,2-23,2=8\left(g\right)\end{matrix}\right.\)

\(\Rightarrow n_{Fe_3O_4}=\dfrac{23,2}{232}=0,1\left(mol\right)=\dfrac{8}{80}=n_{CuO}\)

\(\Rightarrow\left\{{}\begin{matrix}n_{Fe}=0,3\left(mol\right)\\n_{Cu}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,3\cdot56=16,8\left(g\right)\\m_{Cu}=0,1\cdot64=6,4\left(g\right)\end{matrix}\right.\)

b) Theo các PTHH: \(n_{CO}=n_{CO_2}=n_{Cu}+\dfrac{4}{3}n_{Fe}=\dfrac{7}{30}\left(mol\right)\)

\(\Rightarrow V_{CO}=V_{CO_2}=\dfrac{7}{30}\cdot22,4\approx5,23\left(l\right)\)  

a) Gọi số mol H₂ là x

=> nH2O=x(mol)

Theo ĐLBTKL: mA+mH2=mB+mH2O

=> 200 + 2x = 156 + 18x

=> x = 2,75 (mol)

=> VH2=2,75.22,4=61,6(l)

b) Gọi nCuO=a(mol)

nFe2O3=1,5a(mol)

=> 80a + 240a + 102b = 200

=> 320a + 102b = 200

PTHH: CuO + H₂ --t^o--> Cu + H₂O

              a---------------->a

            Fe₂O₃ + 3H₂ --t^o--> 2Fe + 3H₂O

             1,5a------------------>3a

=> 64a + 168a + 102b = 156

=> 232a + 102b = 156

=> a = 0,5; b = \(\dfrac{20}{15}\)

%mCuO=\(\dfrac{0,5.80}{200}\).100%=20%

%mFe2O3=\(\dfrac{0,75.160}{200}\).100%=60%

%mAl2O3=\(\dfrac{\dfrac{20}{15}102}{200}\).100%=20%

c) nH2=\(\dfrac{2,75}{5}\)=0,55(mol)

nFeO(tt)=\(\dfrac{36}{72}\)=0,5(mol)

Gọi số mol FeO phản ứng là t (mol)

PTHH: FeO + H₂ --t^o--> Fe + H₂O

              t--------------->t

=> 56t + (0,5-t).72 = 29,6

=> t = 0,4 (mol)

=> H%=\(\dfrac{0,4}{0,5}\).100%=80%

tỉ leejlaf 1:1,5 chứ

Gọi \(\left\{{}\begin{matrix}n_{Fe_2O_3}=a\left(mol\right)\\n_{Al_2O_3}=2a\left(mol\right)\\n_{CuO}=3a\left(mol\right)\end{matrix}\right.\)

PTHH:

Fe₂O₃ + 3H₂ --t^o--> 2Fe + 3H₂O

a ---------> 3a

CuO + H₂ --t^o--> Cu + H₂O

3a ------> 3a

\(\rightarrow3a+3a=\dfrac{13,44}{22,4}=0,6\left(mol\right)\\ \Leftrightarrow a=0,1\left(mol\right)\\ \rightarrow m=0,1.160+0,1.2.102+0,1.3.80=60,4\left(g\right)\)

Gọi \(n_{Fe_2O_3}=x\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}n_{Al_2O_3}=2x\left(mol\right)\\n_{CuO}=3x\left(mol\right)\end{matrix}\right.\)

\(n_{H_2}=\dfrac{13,44}{22,4}=0,6mol\)

\(CuO+H_2\rightarrow Cu+H_2O\)

3x         3x

\(Al_2O_3+3H_2\rightarrow2Al+3H_2O\)

2x           6x

\(Fe_2O_3+3H_2\rightarrow2Fe+3H_2O\)

x              3x

\(\Rightarrow\Sigma n_{H_2}=3x+6x+3x=0,6\Rightarrow x=0,05mol\)

\(\Rightarrow m=m_{CuO}+m_{Al_2O_3}+m_{Fe_2O_3}\)

\(\Rightarrow m=3\cdot0,05\cdot80+2\cdot0,05\cdot102+0,05\cdot160=30,2g\)

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

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

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

\(Coi: n_{Cl_2} = 1(mol) \to n_{O_2} = 2(mol)\\ \%V_{Cl_2} = \dfrac{1}{1+2}.100\% = 33,33\%\\ \%V_{O_2} = 100\% -33,33\% = 66,67\%\\ M_A = \dfrac{1.71+2.32}{1+2}=45(g/mol)\\ d_{A/H_2} = \dfrac{45}{2} = 22,5\)

\(\text{Trong 6,72 lít khí A : }m_A = 45.\dfrac{6,72}{22,4}=13,5(gam)\)

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

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

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

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

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

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

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

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

\(m_{Fe_2O_3}=80\%.50=40\left(g\right)\Rightarrow n_{Fe_2O_3}=0,25\left(mol\right)\\ m_{CuO}=50-40=10\left(g\right)\Rightarrow n_{CuO}=0,125\left(mol\right)\\Fe_2O_3+3H_2-^{t^o}\rightarrow 2Fe+3H_2O\\ CuO+H_2-^{t^o}\rightarrow Cu+H_2O\\ \Sigma n_{H_2}=0,25.3+0,125=0,875\left(mol\right)\\ \Rightarrow V_{H_2}=0,875.22,4=19,6\left(l\right)\)