a)

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

=> 56a + 24b = 18,4 (1)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

             a-->2a------>a------>a

             Mg + 2HCl --> MgCl₂ + H₂

             b--->2b------->b------>b

=> \(a+b=\dfrac{11,2}{22,4}=0,5\) (2)

(1)(2) => a = 0,2 (mol); b = 0,3 (mol)

\(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,2.56}{18,4}.100\%=60,87\%\\\%m_{Mg}=\dfrac{0,3.24}{18,4}.100\%=39,13\%\end{matrix}\right.\)

b) \(n_{HCl\left(pư\right)}=2a+2b=1\left(mol\right)\)

=> \(n_{HCl\left(tt\right)}=\dfrac{1.125}{100}=1,25\left(mol\right)\)

=> m_HCl(tt) = 1,25.36,5 = 45,625 (g)

=> \(a=\dfrac{45,625.100}{18,25}=250\left(g\right)\)

c) 

m_{dd sau pư} = 18,4 + 250 - 0,5.2 = 267,4 (g)

\(C\%_{FeCl_2}=\dfrac{0,2.127}{267,4}.100\%=9,5\%\) 

\(C\%_{MgCl_2}=\dfrac{0,3.95}{267,4}.100\%=10,66\%\)

Gọi số mol Mg, Fe, Al là a, b, c

=> 24a + 56b + 27c = 23,8

PTHH: Mg + 2HCl --> MgCl₂ + H₂ 

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

            Fe + 2HCl --> FeCl₂ + H₂

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

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

            c------------------------->1,5c

=> a + b + 1,5c = \(\dfrac{17,92}{22,4}=0,8\left(mol\right)\)

PTHH: Mg + Cl₂ --t^o--> MgCl₂

             a-->a

            2Fe + 3Cl₂ --t^o--> 2FeCl₃

             b--->1,5b

             2Al + 3Cl₂ --t^o--> 2AlCl₃

             c--->1,5c

=> \(a+1,5b+1,5c=\dfrac{20,16}{22,4}=0,9\left(mol\right)\)

=> a = 0,3; b = 0,2; c = 0,2

=> \(\left\{{}\begin{matrix}m_{Mg}=0,3.24=7,2\left(g\right)\\m_{Fe}=0,2.56=11,2\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)

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, \(Mg+2HCl\rightarrow MgCl_2+H_2\)

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

b, Ta có: 24n_Mg + 56n_Fe = 10,4 (1)

Theo PT: \(n_{H_2}=n_{Mg}+n_{Fe}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(2\right)\)

Từ (1)  và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Mg}=0,2\left(mol\right)\\n_{Fe}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe}=0,2.24=4,8\left(g\right)\\m_{Fe}=0,1.56=5,6\left(g\right)\end{matrix}\right.\)

c, Theo PT: \(n_{HCl}=2n_{H_2}=0,6\left(mol\right)\Rightarrow V_{ddHCl}=\dfrac{0,6}{0,5}=1,2\left(l\right)\)

Gọi nFe = a (mol); nMg = b (mol)

56a + 24b = 8 (1)

nH2 = 4,48/22,4 = 0,2 (mol)

PTHH: 

Fe + 2HCl -> FeCl2 + H2

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

Mg + 2HCl -> MgCl2 + H2

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

a + b = 0,2 (2)

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

mFe = 0,1 . 56 = 5,6 (g)

%mFe = 5,6/8 = 70%

%mMg = 100% - 70% = 30%

nHCl = 0,1 . 2 + 0,1 . 2 = 0,4 (mol)

CMddHCl = 0,4/0,1 = 4M

Sửa: $V_{H_2}=7,168(l)$

$a\bigg)$

Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$

$\to 24x+56y+27z=9,52(1)$

$n_{H_2}=\dfrac{7,168}{22,4}=0,32(mol)$

$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$

BTe: $x+y+1,5z=n_{H_2}=0,32(2)$

BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$

Từ $(1)(2)(3)\to x=0,12(mol);y=0,08(mol);z=0,08(mol)$

$\to \begin{cases} \%m_{Mg}=\dfrac{0,12.24}{9,52}.100\%=30,25\%\\ \%m_{Fe}=\dfrac{0,08.56}{9,52}.100\%=47,06\%\\ \%m_{Al}=100-47,06-30,25=22,69\% \end{cases}$

$b\bigg)$

Bảo toàn H: $n_{HCl}=2n_{H_2}=0,64(mol)$

$\to C_{M_{HCl}}=\dfrac{0,64}{0,2}=3,2M$

$\to a=3,2$

$c\bigg)$

Dung dịch sau gồm $MgCl_2,FeCl_2,AlCl_3$

Bảo toàn $Mg,Al,Fe:n_{MgCl_2}=0,12(mol);n_{AlCl_3}=n_{FeCl_2}=0,08(mol)$

$\to C_{M_{MgCl_2}}=\dfrac{0,12}{0,2}=0,6M$

$\to C_{M_{AlCl_3}}=C_{M_{FeCl_2}}=\dfrac{0,08}{0,2}=0,4M$

$a\bigg)$

Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$

$\to 24x+56y+27z=9,52(1)$

$n_{H_2}=\dfrac{14,336}{22,4}=0,64(mol)$

$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$

BTe: $x+y+1,5z=n_{H_2}=0,64(2)$

BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$

Từ $(1)(2)(3)\to$ nghiệm âm, xem lại đề