Mg+H2SO4->MgSO4+H2

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

Fe+H2SO4->FeSO4+H2

Zn+H2SO4->ZnSO4+H2

m muối=m kim loại+m gốc axit

7.48=1.72+mSO4/H2SO4

mSO4=5.76(g)

nSO4/H2SO4=0.06(mol)

->nH2SO4=0.06(mol)

Theo pthh 1 2 3 4

nH2SO4:nH2=1

->nH2SO4=nH2->nH2=0.06(mol)

V=0.06*22.4=1.344

Mg+H2SO4->MgSO4+H2

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

Fe+H2SO4->FeSO4+H2

Zn+H2SO4->ZnSO4+H2

m muối=m kim loại+m gốc axit

7.48=1.72+mSO4/H2SO4

mSO4=5.76(g)

nSO4/H2SO4=0.06(mol)

->nH2SO4=0.06(mol)

Theo pthh 1 2 3 4 nH2SO4:nH2=1

->nH2SO4=nH2->nH2=0.06(mol)

V=0.06*22.4=1.344

a) Gọi số mol Al, Zn là a, b (mol)

=> 27a + 65b = 11,9 (1)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

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

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

            Zn + H₂SO₄ --> ZnSO₄ + H₂

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

=> 1,5a + b = 0,4 (2)

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

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{11,9}.100\%=45,378\%\\\%m_{Zn}=\dfrac{0,1.65}{11,9}.100\%=54,622\%\end{matrix}\right.\)

b) n_H2SO4 = 1,5a + b = 0,4 (mol)

=> m_H2SO4 = 0,4.98 = 39,2 (g)

=> \(C\%_{dd.H_2SO_4}=\dfrac{39,2}{150}.100\%=26,133\%\)

\(a)Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\\ b)n_{H_2}=\dfrac{2,24}{22,4}=0,1mol\\ n_{Fe}=n_{H_2}=0,1mol\\ m_{Fe}=0,1.56=5,6g\\ m_{Fe_2O_3}=21,6-5,6=16g\\ c)n_{Fe_2O_3}=\dfrac{16}{160}=0,1mol\\ n_{H_2SO_4}=0,1+0,1.3=0,4mol\\ C_{M_{H_2SO_4}}=\dfrac{0,4}{0,5}=0,8M\)

$Fe + H_2SO_4 \to FeSO_4 + H_2$
$Mg + H_2SO_4 \to MgSO_4 + H_2$
$Zn + H_2SO_4 \to ZnSO_4 + H_2$
Theo PTHH : 

$n_{H_2SO_4} = n_{H_2} = \dfrac{1,344}{22,4} = 0,06(mol)$
Bảo toàn khối lượng : 

$m = 3,22 + 0,06.98 - 0,06.2 = 8,98(gam)$

Bài 1:

PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

            \(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\)

Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)=n_{Fe}\)

\(\Rightarrow\%m_{Fe}=\dfrac{0,1\cdot56}{37,6}\cdot100\%\approx14,89\%\)

\(\Rightarrow\%m_{Fe_2O_3}=85,11\%\) 

Bài 3: 

PTHH: \(2HNO_3+Ba\left(OH\right)_2\rightarrow Ba\left(NO_3\right)_2+2H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{HNO_3}=0,05\cdot1=0,05\left(mol\right)\\n_{Ba\left(OH\right)_2}=\dfrac{342\cdot5\%}{171}=0,1\left(mol\right)\end{matrix}\right.\)

Xét tỉ lệ: \(\dfrac{0,05}{2}< \dfrac{0,1}{1}\) \(\Rightarrow\) Axit p/ứ hết, Bazơ còn dư sau p/ứ

\(\Rightarrow\) Dung dịch sau p/ứ làm quỳ tím hóa xanh

Theo PTHH: \(n_{Ba\left(NO_3\right)_2}=\dfrac{1}{2}n_{HNO_3}=0,025\left(mol\right)\) \(\Rightarrow m_{Ba\left(NO_3\right)_2}=0,025\cdot261=6,525\left(g\right)\)

Bài 2:

Theo đề bài: \(\%m_{Cu}=\dfrac{6,4}{14,2}\cdot100\%\approx45,07\%\)

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

               a_________________________\(\dfrac{3}{2}\)a   (mol)

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

                b_____________________b     (mol)

Ta lập được hệ phương trình \(\left\{{}\begin{matrix}27a+24b=14,2-6,4=7,8\\\dfrac{3}{2}a+b=\dfrac{8,96}{22,4}=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{14,2}\cdot100\%\approx38,03\%\\\%m_{Mg}=100\%-38,03\%-45,07\%=16,9\%\end{matrix}\right.\)