\(\text{Đặt }n_{Al}=x(mol);n_{Fe}=y(mol)\\ \Rightarrow 27x+56y=13,9(1)\\ n_{H_2}=\dfrac{7,84}{22,4}=0,35(mol)\\ a,PTHH:2Al+6HCl\to 2AlCl_3+3H_2(1)\\ Fe+2HCl\to FeCl_2+H_2(2)\\ b,\text{Từ 2 PT: }1,5x+y=0,35(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,2(mol)\\ \Rightarrow m_{Al}=0,1.27=2,7(g)\\ m_{Fe}=0,2.56=11,2(g)\)

\(c,n_{HCl(1)}=3n_{Al}=0,3(mol);n_{AlCl_3}=0,1(mol);n_{H_2(1)}=0,15(mol)\\ \Rightarrow m_{dd_{HCl(1)}}=\dfrac{0,3.36,5}{14,6\%}=75(g)\\ \Rightarrow C\%_{AlCl_3}=\dfrac{0,1.133,5}{2,7+75-0,15.2}.100\%=17,25\%\)

\(n_{HCl(2)}=2n_{Fe}=0,4(mol);n_{FeCl_2}=n_{H_2(2)}=n_{Fe}=0,2(mol)\\ \Rightarrow m{dd_{HCl(2)}}=\dfrac{0,4.36,5}{14,6\%}=100(g)\\ \Rightarrow C\%_{FeCl_2}=\dfrac{0,2.127}{11,2+100-0,2.2}.100\%=22,92\%\)

a) 2Al + 6HCl --> 2AlCl₃ + 3H₂

Fe + 2HCl --> FeCl₂ + H₂

b) Gọi số mol Al, Fe lần lượt là a,b 

=> 27a + 56b = 13,9

\(n_{H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\)

2Al + 6HCl --> 2AlCl₃ + 3H₂

a----->3a--------->a------->1,5a______(mol)

Fe + 2HCl --> FeCl₂ + H₂

b------>2b-------->b----->b__________(mol)

=> 1,5a + b = 0,35

=> \(\left\{{}\begin{matrix}a=0,1=>m_{Al}=0,1.27=2,7\left(g\right)\\b=0,2=>m_{Fe}=0,2.56=11,2\left(g\right)\end{matrix}\right.\)

c) n_HCl = 3a + 2b = 0,7 (mol)

=> m_HCl = 0,7.36,5 = 25,55(g)

=> \(m_{ddHCl}=\dfrac{25,55.100}{14,6}=175\left(g\right)\)

\(m_{dd\left(saupu\right)}=13,9+175-2.0,35=188,2\left(g\right)\)

\(\left\{{}\begin{matrix}m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\\m_{FeCl_2}=0,2.127=25,4\left(g\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}C\%\left(AlCl_3\right)=\dfrac{13,35}{188,2}.100\%=7,1\%\\C\%\left(FeCl_2\right)=\dfrac{25,4}{188,2}.100\%=13,5\%\end{matrix}\right.\)

Bảo toàn khối lượng

\(m_{O_2}=m_{Oxit}-m_{KL}=48,84-34,44=14,4g\)

\(\rightarrow n_{O_2}=\frac{14,4}{32}=0,45mol\)

BTNT (O) \(n_{H_2O}=2n_{O_2}=0,9mol\)

\(n_{H_2}=\frac{4,032}{22,4}=0,18mol\)

BTNT (H)  \(n_{HCl}=2n_{H_2O}+2n_{H_2}=2,16mol\)

\(\rightarrow m_{HCl}=2,16.36,5=78,84g\)

\(m_{H_2}=0,18.2=0,36g\) và \(m_{H_2O}=0,9.18=16,2g\)

Bảo toàn khối lượng \(m_A+m_{HCl}=m_{\text{muối}}+m_{H_2O}+m_{H_2}\)

\(\rightarrow m_{\text{muối}}=48,84+78,84-0,36-16,2=111,12g\)

Mg+2HCl-to>MgCl2+H2

0,25----0,5------0,25-----0,25

n Mg=\(\dfrac{6}{24}\)=0,25 mol

=>VH2=0,25.22,4=5,6l

m MgCl2=0,25.95=23,75g

m HCl=0,5.36,5=18,25 g

=>m dd Hcl=100g

=>C%=\(\dfrac{23,75}{6+100-0,5}.100=22,511\%\)

\(n_{Mg}=\dfrac{6}{24}=0,25\left(mol\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)

             0,25 ---> 0,5 ---> 0,25 ---> 0,25

\(V_{H_2}=0,25.22,4=5,6\left(l\right)\\ m_{MgCl_2}=0,25.95=23,75\left(g\right)\\ m_{HCl}=0,5.36,5=18,25\left(g\right)\\ m_{ddHCl}=\dfrac{18,25}{18,25\%}=100\left(g\right)\\ m_{H_2}=0,25.2=0,5\left(g\right)\\ m_{dd}=100+6-0,5=105,5\left(g\right)\\ C\%_{MgCl_2}=\dfrac{23,75}{105,5}=22,51\%\)

\(n_{HCl} = \dfrac{448.1,12.3,65\%}{36,5} = 0,50176(mol)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ ZnO + 2HCl \to ZnCl_2 + H_2O\\ n_{Zn} = n_{H_2} = \dfrac{2,24}{22,4} = 0,1(mol)\\ n_{ZnO} = \dfrac{n_{HCl} - 2n_{Zn}}{2} = \dfrac{0,50176-0,1.2}{2} = 0,15088(mol)\\ \%m_{Zn} = \dfrac{0,1.65}{0,1.65 + 0,15088.81}.100\% = 34,72\%\\ \%m_{ZnO} = 65,28\%\)

m_H2SO4= \(\dfrac{300.7,35}{100}=22,05g\)

n_H2SO4= \(\dfrac{22,05}{98}=0,225 mol\)

m_HCl= \(\dfrac{200.7,3}{100}=14,6g\)

n_HCl= \(\dfrac{14,6}{36,5}=0,4mol\)

                         H₂SO₄ + 2HCl → 2H₂O + Cl₂ ↑+ SO₂ ↑

n trước pư        0,225      0,4

n pư                  0,2  ←    0,4     →  0,4   → 0,2 → 0,2 mol

n sau  pư   dư 0,025       hết

a) m_Cl2= 0,2. 71= 14,2g

    m_SO2= 64. 0,2= 12,8g

    m_H2O= 18. 0,4=7,2g

m_{dd sau pư}=  300 +200 -14,2 -12,8= 473g

C%_{dd H2O}= \(\dfrac{7,2.100}{473}=1,52\)%

b) Mg + 2H₂O → Mg(OH)₂ + H₂ ↑

     x  →  2x     →      x        → x

     Fe + 2H₂O → Fe(OH)₂ + H₂↑

      y → 2y      →     y        → y

Gọi x,y lần lượt là số mol của Mg,Fe.

Ta có hệ phương trình:

    24x + 56y = 8,7              x= \(\dfrac{5}{64}\)

                                   ⇒

      2x   +  2y  = 0,4             y= \(\dfrac{39}{320}\)

V_H2= 22,4. \((\dfrac{5}{64}+\dfrac{39}{320})\)= 4,48l

m_{hh MG(OH)2, Fe(OH)2}= 8,7 +250 - 2.(\(\dfrac{5}{64}+\dfrac{39}{320}\)) = 2258,3g

m_Mg=24. \(\dfrac{5}{64}\)=1.875g

m_Fe= 8,7-1,875= 6,825g

Bài 1:

PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

            \(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\)

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

\(\Rightarrow\%m_{Fe}=\dfrac{0,1\cdot56}{37,6}\cdot100\%\approx14,89\%\)

\(\Rightarrow\%m_{Fe_2O_3}=85,11\%\) 

Bài 3: 

PTHH: \(2HNO_3+Ba\left(OH\right)_2\rightarrow Ba\left(NO_3\right)_2+2H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{HNO_3}=0,05\cdot1=0,05\left(mol\right)\\n_{Ba\left(OH\right)_2}=\dfrac{342\cdot5\%}{171}=0,1\left(mol\right)\end{matrix}\right.\)

Xét tỉ lệ: \(\dfrac{0,05}{2}< \dfrac{0,1}{1}\) \(\Rightarrow\) Axit p/ứ hết, Bazơ còn dư sau p/ứ

\(\Rightarrow\) Dung dịch sau p/ứ làm quỳ tím hóa xanh

Theo PTHH: \(n_{Ba\left(NO_3\right)_2}=\dfrac{1}{2}n_{HNO_3}=0,025\left(mol\right)\) \(\Rightarrow m_{Ba\left(NO_3\right)_2}=0,025\cdot261=6,525\left(g\right)\)

Bài 2:

Theo đề bài: \(\%m_{Cu}=\dfrac{6,4}{14,2}\cdot100\%\approx45,07\%\)

PTHH: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)

               a_________________________\(\dfrac{3}{2}\)a   (mol)

            \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)

                b_____________________b     (mol)

Ta lập được hệ phương trình \(\left\{{}\begin{matrix}27a+24b=14,2-6,4=7,8\\\dfrac{3}{2}a+b=\dfrac{8,96}{22,4}=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2\cdot27}{14,2}\cdot100\%\approx38,03\%\\\%m_{Mg}=100\%-38,03\%-45,07\%=16,9\%\end{matrix}\right.\)