a) \(m_{CuO}=\dfrac{20.40}{100}=8\left(g\right)\) => \(n_{CuO}=\dfrac{8}{80}=0,1\left(mol\right)\)

\(m_{Fe_2O_3}=20-8=12\left(g\right)\) => \(n_{Fe_2O_3}=\dfrac{12}{160}=0,075\left(mol\right)\)

PTHH: CuO + H₂ --t^o--> Cu + H₂O

             0,1--->0,1------>0,1

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

          0,075--->0,225----->0,15

=> m_Cu = 0,1.64 = 6,4 (g)

=> m_Fe = 0,15.56 = 8,4 (g)

b) \(V_{H_2}=\left(0,1+0,225\right).22,4=7,28\left(l\right)\)

Đặt \(\left\{{}\begin{matrix}n_{Cu}=x\\n_{Fe}=y\end{matrix}\right.\) ( mol ) \(\Rightarrow n_{hh}=64x+56y=26,4\left(g\right)\)      (1)

mà \(64x=1,2.56y\)  (2)

\(\left(1\right);\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,225\\y=\dfrac{3}{14}\end{matrix}\right.\)

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

           0,225       0,225                ( mol )

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

              \(\dfrac{9}{28}\)                  \(\dfrac{3}{14}\)               ( mol )

\(V_{H_2}=22,4.\left(0,225+\dfrac{9}{28}\right)=12,24\left(l\right)\)

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

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

Giả sử: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=x\left(mol\right)\\n_{CuO}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow160x+80y=40\left(1\right)\)

Ta có: \(n_{H_2}=\dfrac{14,56}{22,4}=0,65\left(mol\right)\)

Theo PT: \(n_{H_2}=3n_{Fe_2O_3}+n_{CuO}=3x+y\left(mol\right)\)

⇒ 3x + y = 0,65 (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,15\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{0,15.160}{40}.100\%=60\%\\\%m_{CuO}=40\%\end{matrix}\right.\)

Bạn tham khảo nhé!

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

b)\(n_{CuO}=\dfrac{4}{80}=0,05\left(m\right)\)

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

tỉ lệ          :1       1           1           1

số mol     :0,05  0,05      0,05     0,05           

\(m_{Cu}=0,05.64=3,2\left(g\right)\)

c)\(V_{H_2}=0,05.22,4=1,12\left(l\right)\)

\(n_{Fe_2O_3}=24.75\%=18g\)

\(n_{Fe_2O_3}=\dfrac{18}{160}=0,1125mol\)

\(n_{CuO}=\dfrac{24-18}{80}=0,075mol\)

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

0,1125  0,3375                                 ( mol )

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

0,075  0,075                             ( mol )

\(V_{H_2}=\left(0,3375+0,075\right).22,4=9,24l\)

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 )

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

Bài 1 : 

a)

\(2Cu + O_2 \xrightarrow{t^o} 2CuO\)

b)

Ta có :

\(n_{Cu} = \dfrac{32}{64} = 0,5(mol)\)

Theo PTHH : \(n_{O_2} = 0,5n_{Cu} = 0,25(mol)\\ \Rightarrow V_{O_2} = 0,25.22,4 = 5,6(lít)\)

c) Ta có : \(n_{CuO} = n_{Cu} = 0,5(mol)\Rightarrow m_{CuO} = 0,5.80 = 40(gam)\)

Bài 2 : 

 \(Zn + H_2SO_4 \to ZnSO_4 + H_2\)

Theo PTHH : 

\(n_{H_2SO_4} = n_{H_2} = n_{Zn} =\dfrac{13}{65} = 0,2(mol)\)

Suy ra :

\(V_{H_2} = 0,2.22,4 = 4,48(lít)\\ m_{H_2SO_4} = 0,2.98 = 19,6(gam)\)