Gọi $n_{O_2} = 1(mol) \to n_{N_2} = 3(mol)$
Ta có : 

$M_Y = \dfrac{32.1 + 28.3}{1 + 3} = 29(g/mol)$
Vì $M_{CO} = M_{C_2H_4} = 28$ nên $M_Z = 28$

Ta có :

$d_{Y/Z} = \dfrac{29}{28} = 1,036$

đề không có tỉ lệ mol của khí trong hh Z à bạn ;-;
 

CuO+H2->Cu+H2O(1)

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

Fe3O4+4H2->3Fe+4H2O(3)

nH2O=0.8(mol)

Theo pthh(1)(2)(3) nH2O=nH2

->nH2 cần dùng=0.8(mol)

->V=0.8*22.4=17.92(l)

mH2=0.8*2=1.6(g)

Theo đlbtkl:mOxit+mH2=m nước+m kim loại

<->47.2+1.6=14.4+m kim loại

->m kim loại=47.2+1.6-14.4=34.4(g)

Cảm ơn bạn 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: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{1}{2}n_{Fe}=\dfrac{3}{28}\left(mol\right)\\n_{CuO}=n_{Cu}=0,225\left(mol\right)\end{matrix}\right.\)

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

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

n_{O(mất đi)} = \(n_{CO}+n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

m_Z = 24 - 0,1.16 = 22,4 (g)

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)

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

- Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\Rightarrow27a+24b=10,2\left(1\right)\)

Khí thu được sau p/ứ là khí H₂: \(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)

2                                         3       (mol)

a                                        3/2 a   (mol)

\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)

1                                        1   (mol)

b                                         b   (mol)

Từ hai PTHH trên ta có: \(\dfrac{3}{2}a+b=0,5\left(2\right)\)

\(\left(1\right),\left(2\right)\) ta có hệ: \(\left\{{}\begin{matrix}27a+24b=10,2\\\dfrac{3}{2}a+b=0,5\end{matrix}\right.\)

Giải ra ta có \(\left\{{}\begin{matrix}a=0,2\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\)

a) \(\%Al=\dfrac{m_{Al}}{m_{hh}}.100\%=\dfrac{0,2.27}{10,2}.100\%\approx52,94\%\)

\(\%Mg=100\%-\%Al=100\%-52,94=47,06\%\)

b)

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

3               1              2  (mol)

0,5            1/6         1/3  (mol)

\(m_{Fe}=\dfrac{1}{3}.56=\dfrac{56}{3}\left(g\right)\)

\(m_{Fe_2O_3\left(pứ\right)}=\dfrac{1}{6}.160=\dfrac{80}{3}\left(g\right)\)

\(m_{Fe_2O_3\left(dư\right)}=60-m_{Fe}=60-\dfrac{56}{3}=\dfrac{124}{3}\left(g\right)\)

\(a=\dfrac{124}{3}+\dfrac{80}{3}=68\left(g\right)\)