\(a,n_A=\dfrac{2,7}{M_A}\left(mol\right)\\ n_{ACl_3}=\dfrac{13,35}{M_A+106,5}\)

PTHH: \(2A+6HCl\rightarrow2ACl_3+3H_2\)

         \(\dfrac{2,7}{M_A}\)-------------->\(\dfrac{2,7}{M_A}\)

\(\rightarrow\dfrac{2,7}{M_A}=\dfrac{13,35}{M_A+106,5}\\ \Leftrightarrow M_A=27\left(g\text{/}mol\right)\)

=> A là Al

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

PTHH: \(2M+2nHCl\rightarrow2MCl_n+nH_2\) (n là hoá trị của M, n ∈ N*)

            \(\dfrac{0,4}{n}\)<---------------------------0,2

\(\rightarrow M_M=\dfrac{4,8}{\dfrac{0,2}{n}}=12n\left(g\text{/}mol\right)\)

Vì n là hoá trị của M nên ta có bảng

Vậy M là Mg

\(\Rightarrow\) \(M:mg\)

\(n_{A_2O}=\dfrac{9,4}{2M_A+16}\left(mol\right)\)

PTHH: A₂O + 2HCl --> 2ACl + H₂O

       \(\dfrac{9,4}{2M_A+16}\)-->\(\dfrac{9,4}{M_A+8}\)

=> \(\dfrac{9,4}{M_A+8}\left(M_A+35,5\right)=14,9\Rightarrow M_A=39\left(g/mol\right)\)

=> A là K

CTHH: K₂O

Bài 1:

\(n_M=\dfrac{16}{M_M}\left(mol\right)\)

PTHH: 2M + O₂ --t^o--> 2MO

         \(\dfrac{16}{M_M}\)---------->\(\dfrac{16}{M_M}\)

=> \(\dfrac{16}{M_M}\left(M_M+16\right)=20\)

=> M_M = 64 (g/mol)

=> M là Cu

Bài 2:

\(n_R=\dfrac{16,2}{M_R}\left(mol\right)\)

PTHH: 2R + 3Cl₂ --t^o--> 2RCl₃

          \(\dfrac{16,2}{M_R}\)------------>\(\dfrac{16,2}{M_R}\)

=> \(\dfrac{16,2}{M_R}\left(M_R+106,5\right)=80,1\)

=> M_R = 27 (g/mol)

=> R là Al

 1 
ADDDLBTKL ta có
\(m_{O_2}=m_{MO}-m_M\\ m_{O_2}=20-16=4g\\ n_{O_2}=\dfrac{4}{32}=0,125\left(mol\right)\\ pthh:2M+O_2\underrightarrow{t^o}2MO\) 
            0,25   0,125 
\(M_M=\dfrac{16}{0,25}=64\left(\dfrac{g}{mol}\right)\) 
=> M là Cu 
2 
ADĐLBTKL ta có 
\(m_{Cl_2}=m_{RCl_3}-m_R\\ m_{Cl_2}=80,1-16,2=63,9g\\ n_{Cl_2}=\dfrac{63,9}{71}=0,9\left(mol\right)\\ pthh:2R+3Cl_2\underrightarrow{t^o}2RCl_3\) 
            0,6   0,9 
\(M_R=\dfrac{16,2}{0,6}=27\left(\dfrac{g}{mol}\right)\) 
=> R là Al

\(1 ) 2M+O_2\rightarrow 2MO n_M=n_{MO}\Leftrightarrow \dfrac{16}{M_M}=\dfrac{20}{m_M+16} \Rightarrow m_m = 64(g/mol) \rightarrow M : Cu \)

\(2) 2R+3Cl_2\rightarrow 2RCl_3 n_R=nn_{RCl_3}\Leftrightarrow \dfrac{16,2}{M_R}=\dfrac{80,1}{M_R+35,5.3}\Rightarrow M_R = 27(g/mol)\rightarrow R:Al \)

\(PTHH:2R+6HCl\rightarrow2RCl_3+3H_2\)

\(TheoPTHH:n_R=n_M=\dfrac{10,8}{R}=\dfrac{53,4}{R+35,5.3}\)

\(\Rightarrow R=27\)

=> Kim loại đó là Nhôm

b, \(TheoPTHH:n_{HCl}=3n_R=1,5mol\)

\(\Rightarrow V_{HCl}=3l\)

Theo PTHH : \(n_{H2}=\dfrac{3}{2}n_{Al}=0,75mol\)

\(\Rightarrow V=n.22,4=16,8l\)

\(2M+6HCl\rightarrow2MCl_3+3H_2\)

\(2M...........2\cdot\left(M+106.5\right)\)

\(10.8..................53.4\)

\(53.4\cdot2M=10.8\cdot\cdot2\left(M+106.5\right)\)

\(\Rightarrow M=27\)

\(M:Nhôm\)

\(n_{Al}=\dfrac{13.5}{27}=0.5\left(mol\right)\)

\(V_{H_2}=0.5\cdot\dfrac{3}{2}\cdot22.4=16.8\left(l\right)\)

\(V_{dd_{HCl}}=\dfrac{0.5\cdot6}{2\cdot0.5}=3\left(l\right)\)

Gọi kim loại cần tìm là R

PTHH : $2R + Cl_2 \xrightarrow{t^o} 2RCl$

Theo PTHH : 

$n_R = n_{RCl} \Rightarrow \dfrac{11,7}{R} = \dfrac{22,35}{R + 35,5}$

$\Rightarrow R = 39$

Vậy kim loại cần tìm là kali

\(a,PTHH:2X+6HCl\to 2XCl_3+3H_2\\ b,n_{H_2}=\dfrac{6,72}{22,4}=0,3(mol)\\ \Rightarrow n_{X}=\dfrac{2}{3}n_{H_2}=0,2(mol)\\ \Rightarrow M_{X}=\dfrac{5,4}{0,2}=27(g/mol)\)

Vậy X là nhôm (Al)

\(c,n_{AlCl_3}=n_{Al}=0,2(mol)\\ \Rightarrow m_{AlCl_3}=0,2.133,5=26,7(g)\)