Đáp án D

\(K+HCl\rightarrow KCl+\dfrac{1}{2}H_2\)

 a ----------------------> 0,5a

\(M+2HCl\rightarrow MCl+H_2\)

b ------------------------> 0,5b

Ta có: (*) \(\left\{{}\begin{matrix}39a+Mb=8,7\\0,5a+b=\dfrac{5,6}{22,4}=0,25\Rightarrow a=0,5-2b\end{matrix}\right.\)

\(M+2HCl\rightarrow MCl+H_2\)

\(n_M=\dfrac{9}{M}\Rightarrow n_{H_2}=\dfrac{9}{M}\)

Có: \(\dfrac{9}{M}< \dfrac{11}{22,4}\Rightarrow M>18,33\)

(*) \(\Leftrightarrow\left\{{}\begin{matrix}39\left(0,5-2b\right)+Mb=8,7\\a=0,5-2b\end{matrix}\right.\)

\(\Leftrightarrow b=\dfrac{10,8}{78-M}\)

Ta có: b < 0,25

\(\Leftrightarrow\dfrac{10,8}{78-M}< 0,25\left(M< 78\right)\)

\(\Leftrightarrow10,8< 19,5-0,25M\)

=> M < 34,8

=> 18, 33 < M < 34,8

=> M là Mg

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a) \(n_{H_2}=\dfrac{3,024}{22,4}=0,135\left(mol\right)\)

=> n_HCl = 0,27 (mol)

Theo ĐLBTKL: m_{kim loại} + m_HCl = m_muối + m_H2

=> m_muối = 5,85 + 0,27.36,5 - 0,135.2 = 15,435 (g)

b) V_H2 = 3,024 (l) (Theo đề bài)

c) 

Hỗn hợp kim loại gồm \(\left\{{}\begin{matrix}Al:a\left(mol\right)\\X:3a\left(mol\right)\end{matrix}\right.\)

=> 27a + M_X.3a = 5,85

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

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

             X + 2HCl --> XCl₂ + H₂

            3a------------------->3a

=> 1,5a + 3a = 0,135

=> a = 0,03 (mol)

=> M_X = 56 (g/mol)

=> X là Fe

\(n_{H_2}=\dfrac{11,2}{22,4}=0,5(mol)\\ n_{Mg}=x(mol);n_{Fe}=y(mol)\\ Mg+2HCl\to MgCl_2+H_2\\ Fe+2HCl\to FeCl_2+H_2\\ \Rightarrow \begin{cases} 24x+56y=20\\ x+y=0,5\\ \end{cases} \Rightarrow x=y=0,25(mol)\\ \Rightarrow \begin{cases} m_{Fe}=56.0,25=14(g)\\ m_{Mg}=24.0,25=6(g)\\ \end{cases}\)