a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:       x                                                     1,5x

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:      y                                                 y

Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)

b) 

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:      0,1      0,15                  0,05                            

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1       0,1                 0,1

\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)

m_{dd sau pứ} = 5,1+250-0,15.2 = 254,8(g)

\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)

\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)

\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)

\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)

Gọi số mol Zn, AL là a, b (mol)

=> 65a + 27b = 3,79 (1)

\(n_{H_2}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\) 

PTHH: Zn + H₂SO₄ --> ZnSO₄ + H₂

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

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

             b---->1,5b-------------------->1,5b

=> a + 1,5b = 0,08 (2)

(1)(2) => a = 0,05; b = 0,02

=> \(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,05.65}{3,79}.100\%=85,752\%\\\%m_{Al}=\dfrac{0,02.27}{3,79}.100\%=14,248\%\end{matrix}\right.\)

\(n_{H_2SO_4}=a+1,5b=0,08\left(mol\right)\)

=> \(m_{H_2SO_4}=0,08.98=7,84\left(g\right)\)

Zn + H2SO4 -> ZnSO4 + H2

a -> a

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

b -> 1.5b

HPT: 65a+27b=3.79

a + 1.5b = 1.792/22.4= 0.08

Giải HPT ta được a=0.05 b=0.02
mZn = 0.05*65=3.25 (g)

mAl= 0.02*27=0.54 (g)

\(\left\{{}\begin{matrix}n_{Zn}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\) \(\Rightarrow65x+27y=3,79\left(1\right)\)

\(n_{H_2}=\dfrac{1,792}{22,4}=0,08\)

\(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\uparrow\)

x        x                                x

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

y          1,5y                                 1,5y

\(\Rightarrow x+1,5y=0,08\left(2\right)\)

Từ \(\left(1\right),\left(2\right)\Rightarrow\left\{{}\begin{matrix}x=0,05\\y=0,02\end{matrix}\right.\)

\(\%m_{Zn}=\dfrac{0,05\cdot65}{3,79}\cdot100\%=85,75\%\)

\(\%m_{Al}=100\%-85,75\%=14,25\%\)

\(\Sigma n_{H_2SO_4}=x+1,5y=0,05+1,5\cdot0,02=0,08mol\)

\(\Rightarrow m_{H_2SO_4}=0,08\cdot98=7,84g\)

PTHH: 

Zn + H₂SO₄ ---> ZnSO₄ + H₂ (1)

2Al + 3H₂SO₄ ---> Al₂(SO₄)₃ + 3H₂ (2)

Ta có: \(n_{H_2}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\)

Gọi x, y lần lượt là số mol của Zn và Al

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

Theo PT₍₂₎: \(n_{H_2}=\dfrac{3}{2}.n_{Al}=\dfrac{3}{2}y\left(mol\right)\)

=> \(x+\dfrac{3}{2}y=0,8\) (*)

Theo đề, ta có: 65x + 27y = 3,79 (**)

Từ (*) và (**), ta có HPT:

\(\left\{{}\begin{matrix}x+\dfrac{3}{2}y=0,8\\65x+27y=3,79\end{matrix}\right.\)

(Ra số âm, bn xem lại đề nhé.)

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

b) \(n_{H_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)

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

_____0,02<---0,03<---------------------0,03

=> \(\left\{{}\begin{matrix}\%Al=\dfrac{0,02.27}{2,16}.100\%=25\%\\\%Cu=100\%-25\%=75\%\end{matrix}\right.\)

c) m_H2SO4 = 0,03.98 = 2,94 (g)

=> \(C\%\left(H_2SO_4\right)=\dfrac{2,94}{200}.100\%=1,47\%\)

a,\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

PTHH: Zn + 2HCl → ZnCl₂ + H₂

Mol:     0,2      0,4                       0,2

\(\Rightarrow\%m_{Zn}=\dfrac{0,2.65.100\%}{21,1}=61,61\%;\%m_{ZnO}=100-61,61=38,39\%\)

b,\(n_{ZnO}=\dfrac{21,1-13}{81}=0,1\left(mol\right)\)

PTHH: ZnO + 2HCl → ZnCl₂ + H₂O

Mol:     0,1       0,2         

\(m_{ddHCl}=\dfrac{\left(0,2+0,4\right).36,5.100\%}{7,3\%}=300\left(g\right)\)

c,

PTHH: Zn + H₂SO₄ → ZnSO₄ + H₂

Mol:     0,2       0,2

PTHH: ZnO + H₂SO₄ → ZnSO₄ + H₂O

Mol:      0,1        0,1

\(n_{H_2SO_4}=0,2+0,1=0,3\left(mol\right)\Rightarrow V_{ddH_2SO_4}=\dfrac{0,3}{0,5}=0,6\left(l\right)=600\left(ml\right)\)

\(m_{ddH_2SO_4}=600.1,12=672\left(g\right)\)

a)

Gọi $n_{Zn} = a(mol) ; n_{Al} = b(mol) \Rightarrow 65a + 27b = 11,9(1)$

$Zn + 2HCl \to ZnCl_2 + H_2$
$2Al + 6HCl \to 2AlCl_3 + 3H_2$
Theo PTHH : 

$n_{H_2} = a + 1,5b = \dfrac{8,96}{22,4} = 0,4(2)$

Từ (1)(2) suy ra : a = 0,1; b = 0,2

$m_{Zn} = 0,1.65 = 6,5(gam)$

$m_{Al} = 0,2.27 = 5,4(gam)$

b) $n_{HCl} = 2n_{H_2} = 0,8(mol)$
$C\%_{HCl} = \dfrac{0,8.36,5}{125}.100\% = 23,36\%$