\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

PTHH: 2A + 2H₂O --> 2AOH + H₂

           0,2<-------------0,2<----0,1

=> \(M_A=\dfrac{7,8}{0,2}=39\left(g/mol\right)\)

=> A là Kali (K)

n_KOH = 0,2 (mol)

=> \(C_{M\left(X\right)}=\dfrac{0,2}{0,2}=1M\)

Gọi kim loại cần tìm là A

a) PTHH: \(A+H_2O\rightarrow AOH+\dfrac{1}{2}H_2\uparrow\)

                 \(AOH+HCl\rightarrow ACl+H_2O\)

b) Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\) \(\Rightarrow n_A=0,2mol\)

\(\Rightarrow M_A=\dfrac{7,8}{0,2}=39\) \(\Rightarrow\) Kim loại cần tìm là Kali

b) Ta có: \(\left\{{}\begin{matrix}n_{KCl}=0,2mol\\n_{HCl\left(pư\right)}=0,2mol\Rightarrow n_{HCl\left(dư\right)}=0,2\cdot20\%=0,04\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{KCl}=0,2\cdot74,5=14,9\left(g\right)\\m_{HCl\left(dư\right)}=0,04\cdot36,5=1,46\left(g\right)\end{matrix}\right.\)

Mặt khác: \(m_{H_2}=2\cdot0,1=0,2\left(g\right)\)

\(\Rightarrow m_{dd}=m_K+m_{ddHCl}-m_{H_2}=7,8+\dfrac{0,24\cdot36,5}{10\%}-0,2=95,2\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{KCl}=\dfrac{14,9}{95,2}\cdot100\%\approx15,65\%\\C\%_{HCl\left(dư\right)}=\dfrac{1,46}{95,2}\cdot100\%\approx1,53\%\end{matrix}\right.\)

\(n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)

PTHH: 2A + 2H₂O --> 2AOH + H₂

           0,1<------------0,1<--0,05

=> \(M_A=\dfrac{2,3}{0,1}=23\left(g/mol\right)\)

=> A là Na (Natri)

\(C_{M\left(ddNaOH\right)}=\dfrac{0,1}{0,2}=0,5M\)

a) 

\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

b)

PTHH: 2R + 2H₂O --> 2ROH + H₂

_____0,2<--------------0,2<----0,1

=> \(M_R=\dfrac{7,8}{0,2}=39\left(K\right)\)

c)
\(C_{M\left(KOH\right)}=\dfrac{0,2}{0,5}=0,4M\)

a) Gọi kim loại cần tìm là R

\(n_R=\dfrac{7,56}{M_R}\left(mol\right)\)

PTHH: 2R + 2nHCl --> 2RCl_n + nH₂

         \(\dfrac{7,56}{M_R}\)------------>\(\dfrac{7,56}{M_R}\)

=> \(M_{RCl_n}=M_R+35,5n=\dfrac{37,38}{\dfrac{7,56}{M_R}}\)

=> \(M_R=9n\left(g/mol\right)\)

Xét n = 1 => M_R = 9(Loại)

Xét n = 2 => M_R = 18 (Loại)

Xét n = 3 => M_R = 27(g/mol) => R là Al (Nhôm)

b) 

\(n_{Al}=\dfrac{7,56}{27}=0,28\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

          0,28-->0,84--->0,28--->0,42

=> \(V_{H_2}=0,42.22,4=9,408\left(l\right)\)

\(m_{HCl}=0,84.36,5=30,66\left(g\right)\)

=> \(m_{ddHCl}=\dfrac{30,66.100}{12}=255,5\left(g\right)\)

c) m_{dd sau pư} = 7,56 + 255,5 - 0,42.2 = 262,22 (g)

=> \(C\%_{AlCl_3}=\dfrac{37,38}{262,22}.100\%=14,255\%\)

\(a.2A+H_2SO_4\rightarrow A_2SO_4+H_2\\ Tacó:n_A=2n_{H_2}=0,2\left(mol\right)\\ \Rightarrow M_A=\dfrac{7,8}{0,2}=39\left(K\right)\\ n_{H_2SO_4}=n_{H_2}=0,1\left(mol\right)\\ \Rightarrow CM_{H_2SO_4}=\dfrac{0,1}{0,5}=0,2\left(M\right)\)

\(2A+H_2SO_4\rightarrow A_2SO_4+H_2\\ Ta.có:n_A=2n_{H_2}=0,2\left(mol\right)\) 

\(\Rightarrow M_A=\dfrac{7,8}{0,2}=39\left(K\right)\\ n_{H_2SO_4}=n_{H_2}=0,1\left(mol\right)\\ \Rightarrow CM_{H_2SO_4}=\dfrac{0,1}{0,5}=0,2\left(M\right)\)