a) Gọi `n_{Al} = a (mol); n_{Fe} = b (mol)`

PTHH:

`2Al + 3H_2SO_4 -> Al_2(SO_4)_3 + 3H_2`

`Fe + H_2SO_4 -> FeSO_4 + H_`

b) `n_{H_2} = (0,56)/(22,4) = 0,025 (mol)`

Theo PT: `n_{H_2} = n_{Fe} + 3/2 n_{Al}`

`=> b + 1,5a = 0,025`

Giải hpt \(\left\{{}\begin{matrix}27a+56b=0,83\\1,5a+b=0,025\end{matrix}\right.\Leftrightarrow a=b=0,01\)

=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,01.27}{0,83}.100\%=32,53\%\\\%m_{Fe}=100\%-32,53\%=67,47\%\end{matrix}\right.\)

a)

$2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2$
$Fe + H_2SO_4 \to FeSO_4 + H_2$

b)

Gọi $n_{Al} = a(mol) ; n_{Fe} = b(mol) \Rightarrow 27a + 56b = 0,83(1)$

Theo PTHH : $n_{H_2} = 1,5a + b = \dfrac{0,56}{22,4} = 0,025(2)$

Từ (1)(2) suy ra : a = 0,01; b = 0,01

$\%m_{Al} = \dfrac{0,01.27}{0,84}.100\% = 32,1\%$

$\%m_{Fe} = 100\% - 32,1\% = 67,9\%$

\(n_{H_2}=\frac{3,92}{22,4}=0,175mol\)

a. PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)

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

b. Đặt \(\hept{\begin{cases}x\left(mol\right)=n_{Mg}\\y\left(mol\right)=n_{Al}\end{cases}}\)

\(\rightarrow24x+27y=3,75\left(1\right)\)

Theo phương trình \(n_{Mg}+1,5n_{Al}=n_{H_2}=0,175\)

\(\rightarrow x+1,5y=0,175\left(2\right)\)

Từ (1) và (2) \(\rightarrow\hept{\begin{cases}x=0,1mol\\y=0,05mol\end{cases}}\)

\(\rightarrow m_{Mg}=0,1.24=2,4g\)

\(\rightarrow m_{Al}=3,75-2,4=1,35g\)

2Al + 3H2SO4 -> Al₂(SO₄)₃ + 3H_{2 (1)}

_{2 3 1 3 ( mol)}

2x 3x x 3x

Mg + H2SO4 -> MgSO4 +H2 (2)

1 1 1 1

y y y y

Gọi số mol của Al là x

=> nAl = 2x, nH2SO4 = 3x, nAl2(SO4)3= x , nH2= 3x

Gọi số mol của Mg là y

=> nMg = y, nH2SO4 = y, nMgSO4 = y, nH2= y

Ta có:

m_hh = m_Al + m_Mg

1,41= 27.2x + 24y

1,41= 54x + 24y

V H₂ (1) + V H₂ (2) = 1,568 (1568ml = 1,568 l)

22,4 . 3x + 22,4y = 1,568

67,2x + 22.4y = 1,568

Có : - 54x + 24y=1,41

- 67,2x + 22.4y = 1,568

Bấm máy tính => x = 0,015

y = 0,025

mAl = 54x = 54 . 0,015 = 0,81 9(g)

mMg = 1,41 - 0,81 = 0,6 (g)

%mAl = 0,81 . 100 / 1,41 = 57,45%

%mMg = 100% - 57,45% = 42,55%

\(n_{H_2}=\dfrac{0,784}{22,4}=0,035\left(mol\right)\)

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

PTHH: 

Fe + H₂SO₄ ---> FeSO₄ + H₂

a------------------------------>a

Zn + H₂SO₄ ---> ZnSO₄ + H₂

b---------------------------->b

\(\Rightarrow\left\{{}\begin{matrix}56a+65b=2,14\\a+b=0,035\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,015\left(mol\right)\\b=0,2\left(mol\right)\end{matrix}\right.\)

PTHH:

2Fe + 6H₂SO_{4(đ, n)} ---> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

0,015--------------------------------------->0,0225
Zn + 2H₂SO_{4(đ, n)} ---> ZnSO₄ + SO₂ + 2H₂O

0,02---------------------------------->0,02

=> V_SO2 = (0,0225 + 0,02).22,4 = 0,952 (l)

Gọi x, y lần lượt là sô mol của Fe và Mg

Ta có: \(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 

Fe + H₂SO₄ ---> FeSO₄ + H₂ (1)

Mg + H₂SO₄ ---> MgSO₄ + H₂ (2)

a. Theo PT₍₁₎: \(n_{H_2}=n_{Fe}=x\left(mol\right)\)

Theo PT₍₂₎: \(n_{H_2}=n_{Mg}=y\left(mol\right)\)

\(\Rightarrow x+y=0,3\) (*)

Theo đề, ta có: 56x + 24y = 10.4 (**)

Từ (*) và (**), ta có HPT:

\(\left\{{}\begin{matrix}x+y=0,3\\56x+24y=10,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

\(\Rightarrow m_{Fe}=0,1.56=5,6\left(g\right);m_{Mg}=0,2.24=4,8\left(g\right)\)

b. Ta có: \(n_{hh}=0,1+0,2=0,3\left(mol\right)\)

Theo PT_(1,2): \(n_{H_2SO_4}=n_{hh}=0,3\left(mol\right)\)

Đổi 200ml = 0,2 lít

\(\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,3}{0,2}=1,5M\)

a)

$Zn + H_2SO_4 \to ZnSO_4 + H_2$

Theo PTHH : $n_{Zn} = n_{H_2} = \dfrac{2,8}{22,4} = 0,125(mol)$

$m_{Zn} = 0,125.65 = 8,125(gam)$

$m_{Cu} = 8,3 - 8,125 = 0,175(gam)$

$\%m_{Zn} = \dfrac{8,125}{8,3}.100\% = 97,9\%$
$\%m_{Cu} = 100\%  -97,9\% = 2,1\%$

$n_{H_2SO_4} = n_{H_2} = 0,125(mol) \Rightarrow m_{H_2SO_4} = 0,125.98 = 12,25(gam)$

\(n_{H_2}=\dfrac{0,448}{22,4}=0,02\left(mol\right)\\ a,PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ n_{Al}=\dfrac{2}{3}.0,02=\dfrac{1}{75}\left(mol\right)\\ b,\%m_{Al}=\dfrac{\dfrac{1}{75}.27}{30}.100=1,2\%\Rightarrow\%m_{Cu}=100\%-1,2\%=98,8\%\)

a) 2Al + 2NaOH + 2H₂O --> 2NaAlO₂ + 3H₂

b) \(\left\{{}\begin{matrix}\%Fe=\dfrac{8}{15}.100\%=53,33\%\\\%Al=\dfrac{15-8}{15}.100\%=46,67\%\end{matrix}\right.\)