\(a.R+2H_2O\rightarrow R\left(OH\right)_2+H_2\\ b.n_{H_2}=\dfrac{11,2}{22,4}=0,5mol\\ n_R=n_{H_2}=0,5mol\\ M_R=\dfrac{20}{0,5}=40g/mol\)
Vậy kim loại R là Ca

nKMnO4=94,8:158=0,6(mol) 
PTHH: 2KMnO4-t--> K2MnO4+MnO2+O2 
              0,6----------------------------------->0,3(mol) 
=>V= V_O2=0,3. 22,4= 6,72(l)
b ) 40%nO2 =40%.0,3=0,12(mol)
  2R   +       O2 -t--->2RO 
0,24(mol)<- 0,12
=> M(Khối lượng Mol ) R= m:n=5,76:0,24=24(G/MOL)
=> R là  Mg 

a)-\(n_{KMnO_4}=\dfrac{m}{M}=\dfrac{94,8}{158}=0,6\left(mol\right)\)

-PTHH: \(2KMnO_4\rightarrow^{t^0}K_2MnO_4+MnO_2+O_2\uparrow\)

                 2                                                      1

               0,6                                                   0,3

\(\Rightarrow V_{O_2\left(đktc\right)}=n.22,4=0,3.22,4=6,72\left(l\right)\)                     

b)-\(V_{O_2\left(cd\right)}=6,72.\dfrac{40}{100}=2,688\left(l\right)\)

\(\Rightarrow n_{O_2}=\dfrac{V}{22,4}=\dfrac{2,688}{22,4}=0,12\left(mol\right)\)

-PTHH: \(2R+O_2\rightarrow^{t^0}2RO\)

               2      1

           0,24   0,12

\(m_R=n.M=5,76\left(g\right)\)

\(\Rightarrow0,24.M_R=5,76\)

\(\Rightarrow M_R=24\) (g/mol)

-Vậy R là Crom

\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\); \(n_{A\left(OH\right)_2}=\dfrac{34,2}{M_A+34}\left(mol\right)\)

\(A+2H_2O\rightarrow A\left(OH\right)_2+H_2\)

                 \(\dfrac{34,2}{M_A+34}\)  --> \(\dfrac{34,2}{M_A+34}\)  ( mol )

\(\rightarrow n_{H_2}=\dfrac{34,2}{M_A+34}=0,2\left(mol\right)\)

\(\Leftrightarrow34,2=0,2M_A+6,8\)

\(\Leftrightarrow0,2M_A=27,4\)

\(\Leftrightarrow M_A=137\) ( g/mol )

--> A là Bari ( Ba )

\(A+H_2O\rightarrow A\left(OH\right)_2+H_2\\ n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ TheoPT:n_{H_2}=n_{A\left(OH\right)_2}=0,2\left(mol\right)\\ \Rightarrow M_{A\left(OH\right)_2}=A+17.2=\dfrac{34,2}{0,2}=171\\ \Rightarrow A=137\left(Ba\right)\)

nKMnO4 = 94,8: 158=0,6(mol) 
pthh : 2KMnO4 -t--> K2MnO4 + MnO2 + O2 
          0,6-------------------------------------->0,3(mol) 
V= VO2 = 0,3.22,4 = 6,72 (l) 
40%nO2 = 40%.0,3=0,12 (mol ) 
pthh : 2R+ O2 -t-> 2RO 
         0,24<-0,12(MOL) 
=>M_R =5,76: 0,24= 24(g/mol) 
=> R là Mg

Đáp án B

`A + 2H_2 O -> A(OH)_2 + H_2`

`n_[H_2] = [ 4,48 ] / [22,4 ] = 0,2 (mol)`

`n_[A(OH)_2] = [ 34,2 ] / [ M_A + 34 ] (mol)`

Mà `n_[H_2] = n_[A(OH)_2]`

 `=> [34,2] / [M_A + 34] = 0,2`

`<=>M_A = 137 ( g // mol)`

         `-> A` là `Ba`

a.\(n_{KMnO_4}=\dfrac{m}{M}=\dfrac{31,6}{158}=0,2mol\)

\(2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\)

     0,2                                                     0,1  ( mol )

\(V_{O_2}=n.22,4=0,1.22,4=2,24l\)

b.\(n_{O_2}=0,1.60\%=0,06mol\)

\(2R+\dfrac{1}{2}nO_2\rightarrow\left(t^o\right)R_2O_n\)

\(\dfrac{2,16}{M_R}\)    \(\dfrac{2,16n}{M_R}\)                              ( mol )

\(\Rightarrow\dfrac{2,16n}{M_R}=0,06\)

\(\Rightarrow0,06M_R=2,16n\)

\(\Rightarrow M_R=36n\)

Biện luận:

-n=1 => Loại

-n=2 => Loại

-n=3 => \(M_R=108\) ( g/mol ) R là Bạc ( Ag )

Vậy R là Bạc (Ag)

\(2R+2nHCl\rightarrow2RCl_n+nH_2\)

.0,12/n...............0,12/n......0,06......

\(R_2O_n+2nHCl\rightarrow2RCl_n+nH_2O\)

.0,3/n......................................0,3....

\(n_{H_2O}=2n_{O_2}=0,3\left(mol\right)\)

Có : \(m=13,44=m_R+m_{R_2O_n}=\dfrac{0,12R}{n}+\dfrac{\left(2R+16n\right)0,3}{n}\)

\(\Rightarrow R=12n\)

=> R là Mg

\(n_{Al\left(I\right)}=\dfrac{3}{2}n_{H_2}=0,045\left(mol\right)\)

\(n_{Al\left(II\right)}=2n_{Al_2O_3}=\dfrac{2}{3}n_{H_2O}=\dfrac{2}{3}.2n_{O_2}=\dfrac{4}{3}n_{O_2}=\dfrac{1}{15}\left(mol\right)\)

\(\Rightarrow m_{Al}=m=3,015\left(g\right)\)

\(n_{H_2}=\dfrac{3.36}{22.4}=0.15\left(mol\right)\)

\(A+2H_2O\rightarrow A\left(OH\right)_2+H_2\)

\(................0.15.....0.15\)

\(M_{A\left(OH\right)_2}=\dfrac{11.1}{0.15}=74\left(\dfrac{g}{mol}\right)\)

\(\Rightarrow A=40\)

\(\Rightarrow B\)

$A + 2H_2O \to A(OH)_2 + H_2$

n A(OH)2 = n H2 = 3,36/22,4 = 0,15(mol)

M A(OH)2 = A + 34 = 11,1/0,15 = 74

=> A = 40(Ca)

Vậy A là Canxi 

Đáp án B

B.Ca