\(n_{H_2}=\dfrac{2.24}{22.4}=0.1\left(mol\right)\)

\(R+2HCl\rightarrow RCl_2+H_2\)

\(0.1........0.2................0.1\)

\(M_R=\dfrac{13.7}{0.1}=137\left(\dfrac{g}{mol}\right)\)

\(R:Ba\)

\(200\left(ml\right)=0.2\left(l\right)\)

\(C_{M_{HCl}}=\dfrac{0.2}{0.2}=1\left(M\right)\)

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

PT: \(R+H_2SO_4\rightarrow RSO_4+H_2\)

Theo PT: \(n_R=n_{H_2}=0,2\left(mol\right)\Rightarrow M_R=\dfrac{11,2}{0,2}=56\left(g/mol\right)\)

→ R là Fe.

b, Dd X gồm FeSO₄ và H₂SO₄ dư.

Ta có: \(n_{FeSO_4}=n_{H_2}=0,2\left(mol\right)\Rightarrow n_{H_2SO_4}=\dfrac{50-0,2.152}{98}=0,2\left(mol\right)\)

Chia X thành 2 phần bằng nhau, mỗi phần có 0,1 (mol) FeSO₄ và 0,1 (mol) H₂SO₄.

- Phần 1:

BTNT S, có: n_BaSO4 = n_FeSO4 + n_H2SO4 = 0,2 (mol)

BTNT Fe, có: n_Fe2O3 = 1/2.n_FeSO4 = 0,05 (mol)

⇒ m = 0,2.233 + 0,05.160 = 54,6 (g)

- Phần 2:

PT: \(10FeSO_4+2KMnO_4+8H_2SO_4\rightarrow5Fe_2\left(SO_4\right)_3+K_2SO_4+2MnSO_4+8H_2O\)

Xét tỉ lệ: \(\dfrac{0,1}{10}< \dfrac{0,1}{8}\) → H₂SO₄ dư.

Theo PT: \(n_{KMnO_4}=\dfrac{1}{5}n_{FeSO_4}=0,02\left(mol\right)\)

\(\Rightarrow y=C_{M_{KMnO_4}}=\dfrac{0,02}{0,2}=0,1\left(M\right)\)

\(n_R=\dfrac{2,275}{M_R}\left(mol\right)\)

PTHH: R + Cl₂ --t^o--> RCl₂

___\(\dfrac{2,275}{M_R}\)---------->\(\dfrac{2,275}{M_R}\)

=> \(\dfrac{2,275}{M_R}\left(M_R+71\right)=4,76\)

=> M_R = 65 (g/mol)

=> R là Zn

PT: \(2R+O_2\underrightarrow{t^o}2RO\)

Ta có: \(n_R=\dfrac{13}{M_R}\left(mol\right)\), \(n_{RO}=\dfrac{16,2}{M_R+16}\left(mol\right)\)

Theo PT: \(n_R=n_{RO}\Rightarrow\dfrac{13}{M_R}=\dfrac{16,2}{M_R+16}\Rightarrow M_R=65\left(g/mol\right)\)

→ R là Kẽm (Zn).

R  +  Cl₂  →  RCl₂  

R + 2HCl  →  RCl₂  +  H₂

nHCl = 0,2.1 = 0,2 mol => nR = 0,2/2 = 0,1 mol

Mà nRCl₂ = nR 

=> M_RCl2 = \(\dfrac{13,6}{0,1}\)= 136 (g/mol) => M_R = 136 - 35,5.2 = 64 g/mol

Vậy R là kim loại đồng (Cu)

\(n_{H_2SO_4}=\dfrac{200.9,8\%}{98}=0,2\left(mol\right)\)

PTHH: 2R + nH₂SO₄ --> R₂(SO₄)_n + nH₂

         \(\dfrac{0,4}{n}\)<--0,2

=> \(M_R=\dfrac{11,2}{\dfrac{0,4}{n}}=28n\left(g/mol\right)\)

Xét n = 1 => Loại

Xét n = 2 => M_R = 56 (g/mol) => R là Fe

Xét n = 3 => Loại

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

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

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

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