a) \(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ --> Al₂(SO₄)₃ + 3H₂

           0,1<----------------------------0,15

=> \(\%m_{Al}=\dfrac{0,1.27}{7,5}.100\%=36\%\)

\(\%m_{Cu}=100\%-36\%=64\%\)

b) \(n_{Cu}=\dfrac{7,5-0,1.27}{64}=0,075\left(mol\right)\)

PTHH: Cu + 2H₂SO₄ --> CuSO₄ + SO₂ + 2H₂O

          0,075------------------------>0,075

            2Al + 6H₂SO₄ --> Al₂(SO₄)₃ + 3SO₂ + 6H₂O

              0,1----------------------------->0,15

=> V_SO2 = (0,075 + 0,15).22,4 = 5,04 (l)

\(n_{Cu}=a\left(mol\right),n_{Fe}=b\left(mol\right)\)

\(m_X=64a+56b=16.2\left(g\right)\left(1\right)\)

\(n_{SO_2}=\dfrac{8.96}{22.4}=0.4\left(mol\right)\)

Bảo toàn e : 

\(2a+3b=0.4\cdot2=0.8\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.0475,b=0.235\)

\(\%Cu=\dfrac{0.0475\cdot64}{16.2}\cdot100\%=18.76\%\)

\(\%Fe=81.24\%\)

\(b.\)

\(\dfrac{a}{b}=\dfrac{0.0475}{0.235}=\dfrac{19}{94}\)

\(\Rightarrow n_{Cu}=19x\left(mol\right),n_{Fe}=94x\left(mol\right)\)

\(m_X=19x\cdot64+94x\cdot56=22\left(g\right)\)

\(\Rightarrow x=\dfrac{11}{3240}\)

\(n_{H_2}=n_{Fe}=\dfrac{11}{3240}\cdot94=\dfrac{517}{1620}\left(mol\right)\)

\(V_{H_2}=7.15\left(l\right)\)

Đáp án C

Coi hỗn hợp X gồm các nguyên tố Fe (x mol) , O (y mol) và Cu (z mol).

=> Hai muối sunfat là Fe₂(SO₄)₃ (x/2 mol) và CuSO₄ (z mol)

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right);n_{SO_2}=\dfrac{10,08}{22,4}=0,45\left(mol\right)\)

PTHH: 

Fe + 2HCl ---> FeCl₂ + H₂ 

0,2------------------------>0,2

\(2Fe+6H_2SO_{4\left(đ\right)}\xrightarrow[]{t^o}Fe_2\left(SO_4\right)_3+3SO_2+6H_2O\)

0,2---------------------------------------->0,3

\(Cu+2H_2SO_{4\left(đ\right)}\xrightarrow[]{t^o}CuSO_4+SO_2+2H_2O\)

0,15<--------------------------------0,15

=> \(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,2.56}{0,2.56+0,15.64}.100\%=53,85\%\\\%m_{Cu}=100\%-53,85\%=46,15\%\end{matrix}\right.\)

`2Fe + 6H_2 SO_[4(đ,n)] -> Fe_2(SO_4)_3 + 3SO_2 \uparrow + 6H_2 O`

`0,05`        `0,15`                               `0,025`                                     `(mol)`

`Cu + 2H_2 SO_[4(đ,n)] -> CuSO_4 + SO_2 \uparrow + 2H_2 O`

`0,225`     `0,45`                         `0,225`                                          `(mol)`

`n_[SO_2]=[6,72]/[22,4]=0,3(mol)`

Gọi `n_[Fe]=x` ; `n_[Cu]=y`

`=>` $\begin{cases} \dfrac{3}{2}x+y=0,3\\56x+64y=17,2 \end{cases}$

`<=>` $\begin{cases}x=0,05\\y=0,225 \end{cases}$

  `@m_[Fe_2(SO_4)_3]=0,025.400=10(g)`

  `@m_[CuSO_4]=0,225.160=36(g)`

  `@m_[dd H_2 SO_4]=[(0,15+0,45).98]/80 .100=73,5(g)`

Sửa đề: 80% ---> 98% (80% chưa đặc nên không giải phóng SO₂ được)

Gọi \(\left\{{}\begin{matrix}n_{Fe}=a\left(mol\right)\\n_{Cu}=b\left(mol\right)\end{matrix}\right.\)

\(\rightarrow56a+64b=17,2\left(1\right)\)

PTHH: 

\(2Fe+6H_2SO_{4\left(đặc,nóng\right)}\rightarrow Fe_2\left(SO_4\right)_3+3SO_2\uparrow+6H_2O\)

a------>3a------------------->0,5a--------------->1,5a

\(Cu+2H_2SO_{4\left(đặc,nóng\right)}\rightarrow CuSO_4+SO_2\uparrow+2H_2O\)

b----->2b------------------->b------------->b

\(\rightarrow1,5a+b=\dfrac{6,72}{22,4}=0,3\left(2\right)\)

Từ \(\left(1\right)\left(2\right)\rightarrow\left\{{}\begin{matrix}a=0,05\left(mol\right)\\b=0,225\left(mol\right)\end{matrix}\right.\)

\(\rightarrow\left\{{}\begin{matrix}m_{Fe_2\left(SO_4\right)_3}=0,5.0,05.400=10\left(g\right)\\m_{CuSO_4}=0,225.160=36\left(g\right)\\m_{ddH_2SO_4}=\dfrac{\left(0,05.3+0,225.2\right).98}{98\%}=60\left(g\right)\end{matrix}\right.\)

Đáp án D

Chọn D

Ta có:

Vậy kim loại cần tìm là nhôm (Al).