a, Ta có: 27n_Al + 56n_Fe = 22 (1)

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{19,832}{24,79}=0,8\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,4\left(mol\right)\\n_{Fe}=0,2\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{22}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)

b, \(n_{HCl}=2n_{H_2}=1,6\left(mol\right)\)

\(\Rightarrow C_{M_{HCl}}=\dfrac{1,6}{0,5}=3,2\left(M\right)\)

a) Đặt \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow24a+27b=5,1\)  (1)

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

Bảo toàn electron: \(2a+3b=0,5\)  (2)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%\approx47,06\%\\\%m_{Al}=52,94\%\end{matrix}\right.\)

b) Bảo toàn nguyên tố: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)

\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)

\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)

\(n_{HCl}=0,3.1=0,3mol\)

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

0,1        0,3                        0,15  ( mol )

\(m_{Al}=0,1.27=2,7g\)

\(\Rightarrow m_{Al}=9,1.2,7=6,4g\)

\(V_{H_2}=0,15.22,4=3,36l\)

nHCl = 0,3 . 1 = 0,3 (mol)

PTHH: 2Al + 6HCl -> 2AlCl3 + 3H2

Mol: 0,1 <--- 0,3 ---> 0,1 ---> 0,15

mAl = 0,1 . 27 = 2,7 (g(

mCu = 9,1 - 2,7 = 6,4 (g)

VH2 = 0,15 . 22,4 = 3,36 (l)

a, Ta có: 27n_Al + 56n_Fe = 27,8 (1)

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

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

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{17,353}{24,79}=0,7\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Al}=0,2\left(mol\right)\\n_{Fe}=0,4\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{27,8}.100\%\approx19,42\%\\\%m_{Fe}\approx80,58\%\end{matrix}\right.\)

b, \(n_{H_2SO_4}=n_{H_2}=0,7\left(mol\right)\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,7}{0,5}=1,4\left(M\right)\)

Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 56y = 5,5 (1)

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{3}{2}x+y=\dfrac{4,48}{22,4}=0,2\left(mol\right)\left(2\right)\)

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

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{5,5}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)

a) Gọi số mol Zn, Fe là a, b (mol)

=> 65a + 56b = 8,56 (1)

\(n_{H_2}=\dfrac{3,136}{22,4}=0,14\left(mol\right)\)

PTHH: Zn + 2HCl --> ZnCl₂ + H₂

           a--->2a-------->a----->a

            Fe + 2HCl --> FeCl₂ + H₂

           b----->2b------->b------>b

=> a + b = 0,14 (2)

(1)(2) => a = 0,08; b = 0,06 

=> \(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,08.65}{8,56}.100\%=60,748\%\\\%m_{Fe}=\dfrac{0,06.56}{8,56}.100\%=39,252\%\end{matrix}\right.\)

b) 

n_KOH = 0,2.0,1 = 0,02 (mol)

PTHH: KOH + HCl --> KCl + H₂O

           0,02-->0,02

=> n_HCl = 0,02 + 2a + 2b = 0,3 (mol)

=> \(C_{M\left(HCl\right)}=xM=\dfrac{0,3}{0,15}=2M\)

c) m = 0,08.136 + 0,06.127 = 18,5(g)

a) Gọi số mol Zn, Fe là a, b (mol)

=> 65a + 56b = 7,35 (1)

PTHH: Zn + 2HCl --> ZnCl₂ + H₂

           a---->2a------->a------>a

             Fe + 2HCl --> FeCl₂ + H₂

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

=> \(a+b=\dfrac{2,688}{22,4}=0,12\left(mol\right)\)

=> a + b = 0,12 (2)

(1)(2) => a = 0,07; b = 0,05

=> \(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,07.65}{7,35}.100\%=61,9\%\\\%m_{Fe}=\dfrac{0,05.56}{7,35}.100\%=38,1\%\end{matrix}\right.\)

b) n_HCl(dư) = 0,3.1 - 0,07.2 - 0,05.2 = 0,06 (mol)

PTHH: Ca(OH)₂ + 2HCl --> CaCl₂ + 2H₂O

             0,03<-----0,06

=> \(x=C_{M\left(ddCa\left(OH\right)_2\right)}=\dfrac{0,03}{0,1}=0,3M\)

c) Chất rắn thu được là Fe₂O₃

Bảo toàn Fe: \(n_{Fe_2O_3}=0,025\left(mol\right)\)

=> \(a=m_{Fe_2O_3}=0,025.160=4\left(g\right)\)

Kết tủa thu được là Fe(OH)₂

Bảo toàn Fe: \(n_{Fe\left(OH\right)_2}=0,05\left(mol\right)\)

=> \(m=m_{Fe\left(OH\right)_2}=0,05.90=4,5\left(g\right)\)