a) Mg + 2HCl -> MgCl2 + H2
Al + 3HCl -> AlCl3 + 3/2H2

b) Gọi a, b lần lượt là số mol Mg, Al.

nH2 = 5,6/22,4 = 0,25 (mol)

Mg + 2HCl -> MgCl2 + H2

a        2a            a          a
Al + 3HCl -> AlCl3 + 3/2H2

b           3b       b          3/2b

Ta có hệ pt: 

mhh = 24a + 27b = 5,1 (g)

nH2 = a + 3/2b = 0,25 (mol)

=> a = 0,1 (mol)

b = 0,1 (mol)

200 ml = 0,2 l

nHCl = 2a + 3b = 0,2 + 0,3 = 0,5 (mol)

=> CM ddHCl = 0,5/0,2 = 2,5 (M)

%mMg = 24a/5,1*100% = 2,4/5,1*100% = 47,06%

%mAl = 100%-47,06% = 52,94%

Bài 8:

\(n_{H_2}=\dfrac{7,437}{24,79}=0,3\left(mol\right)\)

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

_____0,2______0,6_____0,2____0,3 (mol)

a, \(m_{Al}=0,2.27=5,4\left(g\right)\)

b, \(C_{M_{HCl}}=\dfrac{0,6}{0,3}=2\left(M\right)\)

c, \(C_{M_{AlCl_3}}=\dfrac{0,2}{0,2}=1\left(M\right)\)

Bài 9:

Ta có: \(n_{H_2}=\dfrac{2,479}{24,79}=0,1\left(mol\right)\)

PT: \(Mg+2HCl\rightarrow MgCl_2+H_2\)

\(MgO+2HCl\rightarrow MgCl_2+H_2O\)

a, \(n_{Mg}=n_{H_2}=0,1\left(mol\right)\Rightarrow m_{Mg}=0,1.24=2,4\left(g\right)\)

\(\Rightarrow m_{MgO}=8,4-2,4=6\left(g\right)\)

b, \(n_{MgO}=\dfrac{6}{40}=0,15\left(mol\right)\)

Theo PT: \(n_{HCl}=2n_{Mg}+2n_{MgO}=0,5\left(mol\right)\)

\(\Rightarrow m_{ddHCl}=\dfrac{0,5.36,5}{3,65\%}==500\left(g\right)\)

Bài 1:

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\\ n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2\\ n_{Al}=\dfrac{2}{3}.0,3=0,2\left(mol\right)\\ \Rightarrow m_{Al}=0,2.27=5,4\left(g\right)\\ \%m_{Al}=\dfrac{5,4}{26,82}.100\approx20,134\%\\\Rightarrow \%m_{Al_2O_3}\approx79,866\%\\ b,n_{Al_2O_3}=\dfrac{26,82-5,4}{102}=0,21\left(mol\right)\\ n_{HCl}=6.0,21+2.0,3=1,86\left(mol\right)\\ V_{ddHCl}=\dfrac{1,86}{2}=0,93\left(l\right)=930\left(ml\right)\\ m_{ddHCl}=930.1,12=1041,6\left(g\right)\\ n_{AlCl_3}=2.0,21+0,2=0,62\left(mol\right)\\ C\%_{ddAlCl_3}=\dfrac{0,62.133,5}{1041,6-0,3.2}.100\approx7,951\%\)

2)

a) Gọi KL và oxit của nó là M và MO

n_HCl = 4.0,25 = 1 (mol)

\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: M + 2HCl --> MCl₂ + H₂

          0,3<-0,6<--------------0,3

            MO + 2HCl --> MCl₂ + H₂O

          0,2<---0,4

=> 0,3.M_M + 0,2.(M_M + 16) = 31,2

=> M_M = 56 (g/mol)

=> Kim loại là Sắt (Fe)

b) 

\(\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,3.56}{31,2}.100\%=53,85\%\\\%m_{FeO}=\dfrac{0,2.72}{31,2}.100\%=46,15\%\end{matrix}\right.\)

Bài 2:

Đặt A là kim loại cần tìm

\(a,A+2HCl\rightarrow ACl_2+H_2\left(1\right)\\ AO+2HCl\rightarrow ACl_2+H_2O\left(2\right)\\ n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\\ n_{HCl\left(ban.đầu\right)}=0,25.4=1\left(mol\right)\\ n_{HCl\left(1\right)}=2.n_{H_2}=0,6\left(mol\right)\\ n_{HCl\left(2\right)}=1-0,6=0,4\left(mol\right)\\ n_{AO}=\dfrac{0,4}{2}=0,2\left(mol\right)\\ n_A=n_{H_2}=0,3\left(mol\right)\\ Vì:m_{hhđầu}=31,2\\ \Leftrightarrow m_A+m_{AO}=31,2\\ \Leftrightarrow0,3.M_A+0,2.\left(M_A+16\right)=31,2\\ \Leftrightarrow M_A=56\left(\dfrac{g}{mol}\right)\\ \Rightarrow A:Sắt\left(Fe=56\right)\\ b,\%m_{Fe}=\dfrac{0,3.56}{31,2}.100\approx53,846\%\\ \Rightarrow\%m_{FeO}\approx46,154\%\)

nH2 = 6,72/22,4 = 0,3 (mol)

PTHH: 

Mg + 2HCl -> MgCl2 + H2

Zn + 2HCl -> ZnCl2 + H2

Theo các PTHH trên: nHCl = 2 . nH2 = 2 . 0,3 = 0,6 (mol)

mHCl = 0,6 . 36,5 = 21,9 (g)

mH2 = 0,3 . 2 = 0,6 (g)

Áp dụng ĐLBTKL, ta có:

m(kim loại) + mHCl = m(muối) + mH2

=> m(muối) = m(kim loại) + mHCl - mH2 = 15,4 + 21,9 - 0,6 = 36,7 (g)

tk

nH2 = 6,72/22,4= 0,3 mol

2 HCl →H2

0,6           0,3

KL + axit → muối   + H2

ĐLBTKL => mKl   + maxit  = mmuối  + mH2

=> 15,4  +0,6.36,5 = mmuối  + 0,3.2

=> mmuối = 36,7 gam

a) Gọi $n_{Al} =a (mol) ; n_{Fe} = b(mol) \Rightarrow 27a + 56b = 13(1)$
$2Al + 6HCl \to 2AlCl_3 + 3H_2$
$Fe + 2HCl \to FeCl_2 + H_2$
Theo PTHH : $n_{H_2} = 1,5a + b = \dfrac{6,72}{22,4} = 0,3(2)$
Từ (1)(2) suy ra : $a = \dfrac{1}{15} ; b = 0,2$

$\%m_{Al} = \dfrac{ \dfrac{1}{15}.27}{13}.100\% = 13,8\%$

$\%m_{Fe} = 100\% - 13,8\% = 86,2\%$

b) $n_{HCl} = 2n_{H_2} = 0,3.2 = 0,6(mol)$
$\Rightarrow C_{M_{HCl}} = \dfrac{0,6}{0,15} = 4M$

c) $n_{muối} = m_{kim\ loại} + m_{HCl} - m_{H_2} = 13 + 0,6.36,5 - 0,3.2 = 34,3(gam)$

a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:       x                                                     1,5x

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:      y                                                 y

Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)

b) 

PTHH: 2Al + 3H₂SO₄ → Al₂(SO₄)₃ + 3H₂

Mol:      0,1      0,15                  0,05                            

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1       0,1                 0,1

\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)

m_{dd sau pứ} = 5,1+250-0,15.2 = 254,8(g)

\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)

\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)

Bài 1:

\(n_{H_2SO_4}=\dfrac{300.19,6\%}{98}=0,6\left(mol\right);n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\\ PTHH:2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Vì:\dfrac{0,1}{2}< \dfrac{0,6}{3}\Rightarrow H_2SO_4dư\\ n_{Al_2\left(SO_4\right)_3}=\dfrac{3n_{Al}}{2}=\dfrac{3.0,1}{2}=0,15\left(mol\right)\\ a,m_{Al_2\left(SO_4\right)_3}=342.0,15=51,3\left(g\right)\\ b,m_{ddsau}=m_{Al}+m_{ddH_2SO_4}-m_{H_2}=2,7+300-\dfrac{3}{2}.0,1.2=302,4\left(g\right)\\ c,C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{51,3}{302,4}.100\%\approx16,964\%\\ n_{H_2SO_4\left(dư\right)}=0,6-\dfrac{3}{2}.0,1=0,45\left(mol\right)\\ C\%_{ddH_2SO_4\left(dư\right)}=\dfrac{0,45.98}{302,4}.100\%\approx14,583\%\)

Bài 2:

\(PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ Đặt:n_{Al}=a\left(mol\right);n_{Mg}=b\left(mol\right)\left(a,b>0\right)\\ Hpt:\left\{{}\begin{matrix}27a+24b=7,8\\1,5a+b=\dfrac{8,96}{22,4}=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\ \%m_{Al}=\dfrac{0,2.27}{7,8}.100\%\approx69,231\%\Rightarrow\%m_{Mg}\approx100\%-69,231\%\approx30,769\%\)