\(n_{Fe}=\dfrac{5.6}{56}=0.1\left(mol\right)\)

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

\(0.05........0.15......0.1\)

\(\%Fe_2O_{3\left(bk\right)}=\dfrac{0.05\cdot160}{20}\cdot100\%=40\%0\%\)

\(V_{H_2}=0.15\cdot22.4=3.36\left(l\right)\)

\(m_X=20-0.05\cdot160+5.6=17.6\left(g\right)\)

PTHH: \(Fe_xO_y+yH_2\underrightarrow{t^o}xFe+yH_2O\)

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

Đặt \(\left\{{}\begin{matrix}n_{Fe\left(oxit\right)}=a\left(mol\right)=n_{H_2}\\n_{O\left(oxit\right)}=b\left(mol\right)\end{matrix}\right.\)

Ta có: \(m_{tăng}=m_{Fe}-m_{H_2}\) \(\Rightarrow56a-2a=3,24\) \(\Rightarrow a=n_{Fe}=0,06\left(mol\right)\)

Hỗn hợp D gồm \(\left\{{}\begin{matrix}n_{CO_2\left(dư\right)}=c\left(mol\right)\\n_{H_2O}=n_{O\left(oxit\right)}=b\left(mol\right)\end{matrix}\right.\)

Ta có hệ phương trình: \(\left\{{}\begin{matrix}c+b=0,1\\18b+2c=7,4\cdot2\cdot\left(b+c\right)\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}b=0,08\\c=0,02\end{matrix}\right.\)

\(\Rightarrow x:y=a:b=0,06:0,08=3:4\)

\(\Rightarrow\)  Công thức cần tìm là Fe₃O₄ 

 \(a)Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O\\ b)n_{H_2} = \dfrac{8,96}{22,4} = 0,4(mol)\\ n_{Fe} = \dfrac{3}{4}n_{H_2} = 0,3(mol)\\ n_{Fe_3O_4\ pư} = \dfrac{1}{4}n_{H_2} = 0,1(mol)\\ \Rightarrow m_{chất\ rắn\ sau\ phản\ ứng} = 0,3.56 + (34,8 -0,1.232)=28,4(gam)\\ c) \%m_{Fe_3O_4\ bị\ khử} = \dfrac{0,1.232}{34,8}.100\% = 66,67\%\)

\(n_{H_2}=\dfrac{8.96}{22.4}=0.4\left(mol\right)\)

\(BTKL:\)

\(m+0.4\cdot2=28.4+7.2\)

\(\Rightarrow m=34.8\left(g\right)\)

\(b.\)

\(m_{Fe}=0.59155\cdot28.4=16.8\left(g\right)\)

\(n_{Fe}=\dfrac{16.8}{56}=0.3\left(mol\right)\)

\(PTHH:\)

\(\dfrac{x}{y}=\dfrac{n_{Fe}}{n_{H_2}}=\dfrac{0.3}{0.4}=\dfrac{3}{4}\)

\(CT:Fe_3O_4\)

a. \(PTHH:3H_2+Fe_2O_3\rightarrow2Fe+3H_2O\)

b. \(n_{Fe_2O_3}=\dfrac{m_{Fe_2O_3}}{M_{Fe_2O_3}}=\dfrac{40}{160}=0,25\left(mol\right)\)

- Mol theo PTHH : \(3:1:2:3\)

- Mol theo phản ứng : \(0,75\leftarrow0,25\rightarrow0,5\rightarrow0,75\)

\(\Rightarrow n_{Fe}=0,5\left(mol\right)\)

\(\Rightarrow m_{Fe}=n_{Fe}.M_{Fe}=0,5.56=28\left(g\right)\)

c. Ta có : \(n_{Fe_2O_3}=0,25\left(mol\right);n_{H_2}=0,3\left(mol\right)\)

Do \(0,25< 0,3\) ⇒ H₂ dư.

a,\(n_{Mg}=\dfrac{9,6}{24}=0,4\left(mol\right);n_{H_2SO_4}=1,5.0,2=0,3\left(mol\right)\)

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:                0,3                0,3       0,3

Ta có: \(\dfrac{0,4}{1}>\dfrac{0,3}{1}\) ⇒ Mg dư, H₂SO₄ pứ hết

\(m_{MgSO_4}=0,3.120=36\left(g\right)\)

b,\(V_{H_2}=0,3.22,4=6,72\left(l\right)\)

c, \(n_{Fe_2O_3}=\dfrac{6,4}{160}=0,04\left(mol\right)\)

PTHH: 3H₂ + Fe₂O₃ → 2Fe + 3H₂O

Mol:                  0,04         0,08

Ta có: \(\dfrac{0,3}{3}>\dfrac{0,04}{1}\) ⇒ H₂ dư, Fe₂O₃ pứ hết

\(\Rightarrow m_{Fe}=0,08.56=4,48\left(g\right)\)

Câu c) là 64 không phải 6,4 nha!!!!!

\(n_{H_2}=\dfrac{4,032}{22,4}=0,18\left(mol\right)\)

PTHH: Fe + H₂SO₄ ---> FeSO₄ + H₂

            0,18 <------------------------ 0,18

\(\rightarrow n_O=\dfrac{13,92-0,18.56}{16}=0,24\left(mol\right)\)

CTHH: Fe_xO_y

=> x : y = 0,18 : 0,24 = 3 : 4

CTHH Fe₃O₄