Câu 1: 

\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

 a           a                a           a

\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

 2b          3b               b                 3b

Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)

\(m_{Mg}=0.04\times24=0.96g\)

\(m_{Al}=0.03\times2\times27=1.62g\)

\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)

Câu 2:

\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

a            a              a             a

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

b           b                 b         b

Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)

\(m_{Mg}=0.09\times24=2.16g\)

\(m_{Fe}=0.05\times56=2.8g\)

\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)

Câu 3: 

\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)

\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)

a           a              a             a

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

b          b                 b             b

Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)

\(m_{Ba}=0.02\times137=2.74g\)

\(m_{Mg}=0.05\times24=1.2g\)

\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)

a) 

Gọi số mol Fe, Cu là a, b (mol)

=> 56a + 64b = 12 (1)

\(n_{SO_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Fe + 6H₂SO₄ --> Fe₂(SO₄)₃ + 3SO₂ + 6H₂O

             a------------------------------->1,5a

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

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

=> 1,5a + b = 0,25 (2)

(1)(2) => a = 0,1 (mol); b = 0,1 (mol)

=> m_Fe = 0,1.56 = 5,6 (g)

b)

1 nửa hỗn hợp X trên chứa \(\left\{{}\begin{matrix}Fe:0,05\left(mol\right)\\Cu:0,05\left(mol\right)\end{matrix}\right.\)

PTHH: Fe + H₂SO₄ --> FeSO₄ + H₂

           0,05---------------------->0,05

=> Thu được khí H₂

V_H2 = 0,05.22,4 = 1,12 (l)

Đáp án C.

Kim loại không phản ứng với H₂SO₄ loãng là Cu.

Gọi n_Cu = x, n_Mg = y, n_Al = z

Ta có:

64x + 24y + 27z = 33,2 (1)

Bảo toàn e:

2n_Mg + 3n_Al = 2n_H2  

=> 2y + 3z = 2.1 (2)

2n_Cu = 2n_SO2  =>  x = 0.2 (mol) (3)

Từ 1, 2, 3 => x = 0,2; y = z = 0,4 (mol)

m_Cu = 0,2.64 = 12,8 (g)

m_Mg = 0,4.24 = 9,6 (g)

m_Al = 10,8 (g)

Ta có: 56n_Fe + 27n_Al = 8,3 (1)

\(n_{SO_2}=\dfrac{7,427}{24,79}=0,3\left(mol\right)\)

Theo ĐLBT e, có: 3n_Fe + 3n_Al = 2n_SO2 = 0,6 (2)

Từ (1) và (2) ⇒ n_Fe = n_Al = 0,1 (mol)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,1.56}{8,3}.100\%\approx67,47\%\\\%m_{Al}\approx32,53\%\end{matrix}\right.\)

Bài 3 : 

a) $Mg + H_2SO_4 \to MgSO_4 + H_2$
$n_{Mg} = n_{H_2} = \dfrac{3,36}{22,4} = 0,15(mol)$
$\%m_{Mg} = \dfrac{0,15.24}{13,2}.100\% = 27,27\%$
$\%m_{Cu} = 100\% -27,27\% = 72,73\%$

b) $n_{Cu} = \dfrac{13,2 - 0,15.24}{64}= 0,15(mol)$

$\Rightarrow m_{muối} = 0,15.120 + 0,15.160= 42(gam)$

Bài 4 : 

Gọi $n_{Fe} = a(mol) ; n_{Mg} = b(mol)$
$56a + 24b = 18,4(1)$

$Fe + 2HCl \to FeCl_2 + H_2$
$Mg + 2HCl \to MgCl_2 + H_2$

Theo PTHH : $n_{H_2} = a + b = \dfrac{11,2}{22,4} = 0,5(2)$

Từ (1)(2) suy ra a = 0,2 ; b = 0,3

$\%m_{Fe} = \dfrac{0,2.56}{18,4}.100\%  = 60,87\%$

$\%m_{Mg} = 100\% -60,87\% = 39,13\%$

b) $n_{HCl} = 2n_{H_2} = 1(mol)$
$V_{dd\ HCl} = \dfrac{1}{0,8}=  1,25(lít)$

3a) \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

\(n_{H_2}=n_{Mg}=0,15\left(mol\right)\)

=> \(\%m_{Mg}=\dfrac{0,15.24}{13,2}.100=27,28\%\)

\(\%m_{Cu}=100-27,28=72,73\%\)

b) \(n_{Cu}=\dfrac{13,2-3,6}{64}=0,15\left(mol\right)\)

Cu + 2H2SO4 → CuSO4 + SO2 + 2H2O

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

Mg + 2H2SO4 → MgSO4 + SO2 + 2H2O

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

\(m_{muối}=0,15.160+0,15.120=42\left(g\right)\)

\(n_{H_2} = \dfrac{6,72}{22,4} = 0,3(mol)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)

\(\left\{{}\begin{matrix}Mg:x\left(mol\right)\\Al:y\left(mol\right)\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}24x+27y=6,3\\x+1,5y=0,3\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}x=0,15\\y=0,1\end{matrix}\right.\)

Vậy :

\(\%m_{Mg} = \dfrac{0,15.24}{6,3}.100\% = 57,14\%\)

ai giúp em câu này với ạ

\(\text{Đ}\text{ặt}:n_{Al}=a\left(mol\right);n_{Cu}=b\left(mol\right)\left(a,b>0\right)\\ Al+6HNO_3\rightarrow Al\left(NO_3\right)_3+3NO_2+3H_2O\\ Cu+4HNO_3\rightarrow Cu\left(NO_3\right)_2+2NO_2+2H_2O\\ \Rightarrow\left\{{}\begin{matrix}27a+64b=7,75\\3.22,4a+2.22,4b=7,84\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,05\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Al}=\dfrac{0,05.27}{7,75}.100\approx17,419\%\\ \Rightarrow\%m_{Cu}\approx82,581\%\\ b,n_{HNO_3}=6a+4b=0,7\left(mol\right)\\ C_{M\text{dd}HNO_3}=\dfrac{0,7}{0,14}=5\left(M\right)\)