$a\bigg)$

Đặt $n_{Al}=x(mol);n_{Fe}=y(mol)$

$\to 27x+56y=22(1)$

BTe: $1,5x+y=n_{H_2}=\dfrac{17,92}{22,4}=0,8(2)$

Từ $(1)(2)\to x=0,4(mol);y=0,2(mol)$

$\to \%m_{Al}=\dfrac{0,4.27}{22}.100\%\approx 49,09\%$

$\to \%m_{Fe}=100-49,09=50,91\%$

$b\bigg)$

Bảo toàn H: $n_{HCl}=2n_{H_2}=1,6(mol)$

$\to m_{dd_{HCl}}=\dfrac{1,6.36,5}{25\%}=233,6(g)$

$\to m_{dd\, sau}=22+233,6-0,8.2=254(g)$

Bảo toàn Al,Fe: $n_{AlCl_3}=0,4(mol);n_{FeCl_2}=0,2(mol)$

$\to \begin{cases} C\%_{AlCl_3}=\dfrac{0,4.133,5}{254}.100\%\approx 21,02\%\\ C\%_{FeCl_2}=\dfrac{0,2.127}{254}.100\%=10\% \end{cases}$

a, Ta có: 65n_Zn + 27n_Al = 11,9 (1)

PT: \(Zn+2HCl\rightarrow ZnCl_2+H_2\)

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

Theo PT: \(n_{H_2}=n_{Zn}+\dfrac{3}{2}n_{Al}=\dfrac{9,916}{24,79}=0,4\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Zn}=0,1\left(mol\right)\\n_{Al}=0,2\left(mol\right)\end{matrix}\right.\)

⇒ m_Zn = 0,1.65 = 6,5 (g)

m_Al = 0,2.27 = 5,4 (g)

b, Theo PT: n_ZnCl2 = n_Zn = 0,1 (mol)

n_AlCl3 = n_Al = 0,2 (mol)

⇒ m _muối = 0,1.136 + 0,2.133,5 = 40,3 (g)

c, Theo PT: n_HCl = 2n_H2 = 0,8 (mol)

\(\Rightarrow m_{ddHCl}=\dfrac{0,8.36,5}{10\%}=292\left(g\right)\)

\(n_{H_2}=\dfrac{2,464}{22,4}=0,11mol\)

\(\left\{{}\begin{matrix}Al:x\left(mol\right)\\Fe:y\left(mol\right)\end{matrix}\right.\Rightarrow Muối\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3\\FeSO_4\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}BTe:3x+2y=2n_{H_2}=0,22\\\dfrac{x}{2}\cdot342+y\cdot152=14,44\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,04mol\\y=0,05mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,04\cdot27=1,08g\\m_{Fe}=0,05\cdot56=2,8g\end{matrix}\right.\)

\(Al_2\left(SO_4\right)_3+3BaCl_2\rightarrow2AlCl_3+3BaSO_4\downarrow\)

0,02                                                   0,06

\(FeSO_4+BaCl_2\rightarrow BaSO_4\downarrow+FeCl_2\)

0,05                          0,05

\(\Rightarrow\Sigma n_{\downarrow}=0,06+0,05=0,11\Rightarrow m_{BaSO_4}=x=25,63g\)

\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)

a)\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)

   x           2x            x             x

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

y            3y          y             1,5y

Ta có hệ:

\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=\dfrac{5,6}{22,4}=0,25\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)

\(\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%=47,06\%\)

\(\%m_{Al}=100\%-47,06\%=52,94\%\)

b)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)

\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)

a) Gọi số mol Al, Fe là a, b (mol)

=> 27a + 56b = 11,1 (1)

\(n_{HCl}=\dfrac{60.36,5\%}{36,5}=0,6\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

            a--->3a-------->a----->1,5a

             Fe + 2HCl --> FeCl₂ + H₂

                b--->2b------->b----->b

=> 3a + 2b = 0,6 (2)

(1)(2) => a = 0,1; b = 0,15 

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{11,1}.100\%=24,32\%\\\%m_{Fe}=\dfrac{0,15.56}{11,1}.100\%=75,68\%\end{matrix}\right.\)

b) \(n_{H_2}=1,5a+b=\) 0,3 (mol)

=> \(V_{H_2}=0,3.22,4=6,72\left(l\right)\)

m_{dd sau pư} = 11,1 + 60 - 0,3.2 = 70,5 (g)

\(\left\{{}\begin{matrix}C\%_{AlCl_3}=\dfrac{0,1.133,5}{70,5}.100\%=18,94\%\\C\%_{FeCl_2}=\dfrac{0,15.127}{70,5}.100\%=27,02\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)

\(m_{HCl}=\dfrac{60\cdot36,5}{100}=21,9g\)

\(\Rightarrow n_{HCl}=\dfrac{21,9}{36,5}=0,6mol\)

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

x          3x                          1,5x

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

y         2y                        y

\(\Rightarrow\left\{{}\begin{matrix}27x+56y=11,1\\3x+2y=0,6\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,15\end{matrix}\right.\)

a)\(\%m_{Al}=\dfrac{0,1\cdot27}{11,1}\cdot100\%=24,32\%\)

\(\%m_{Fe}=100\%-24,32\%=75,68\%\)

b)\(\Sigma n_{H_2}=1,5x+y=1,5\cdot0,1+0,15=0,3mol\)

\(V_{H_2}=0,3\cdot22,4=6,72l\)

Câu 1:

Gọi : nMg=a(mol); nMgO=b(mol) (a,b>0)

a) PTHH: Mg + 2 HCl -> MgCl2 + H2

a________2a_______a______a(mol)

MgO +2 HCl -> MgCl2 + H2O

b_____2b_______b___b(mol)

Ta có hpt:

\(\left\{{}\begin{matrix}24a+40b=8,8\\22,4a=4,48\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)

=> mMg=0,2.24=4,8(g)

=>%mMg= (4,8/8,8).100=54,545%

=> %mMgO= 45,455%

b) m(muối)=mMg2+ + mCl- = 0,3. 24 + 0,6.35,5=28,5(g)

c) V=VddHCl=(2a+2b)/2=0,3(l)=300(ml)

Câu 2:

Ta có: \(\left\{{}\begin{matrix}n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\n_{HCl}=0,4\cdot2=0,8\left(mol\right)\end{matrix}\right.\)

PTHH: \(Ca+2HCl\rightarrow CaCl_2+H_2\uparrow\)

               0,2____0,4_____0,2____0,2   (mol)

           \(CaO+2HCl\rightarrow CaCl_2+H_2O\)

                0,2____0,4______0,2____0,2  (mol)

Ta có: \(\left\{{}\begin{matrix}\%m_{Ca}=\dfrac{0,2\cdot40}{0,2\cdot40+0,2\cdot56}\cdot100\%\approx41,67\%\\\%m_{CaO}=58,33\%\\m_{CaCl_2}=\left(0,2+0,2\right)\cdot111=44,4\left(g\right)\end{matrix}\right.\)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+3H_2\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=11\\1,5a+b=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\ a,n_{HCl}=2.n_{H_2}=2.0,4=0,8\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,8}{8}=0,1\left(l\right)\\ b,FeCl_2+2AgNO_3\rightarrow Fe\left(NO_3\right)_2+2AgCl\downarrow\\ AlCl_3+3AgNO_3\rightarrow Al\left(NO_3\right)_3+3AgCl\downarrow\\ n_{AgCl}=n_{AgNO_3}=3.n_{AlCl_3}+2.n_{FeCl_2}=3.a+2.b=3.0,2+2.0,1=0,8\left(mol\right)\\ \Rightarrow a=\dfrac{170.0,8}{250}.100=54,4\%\\ b=m_{\downarrow}=m_{AgCl}=0,8.143,5=114,8\left(g\right)\)

\(a.n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ a............3a.......a.........1,5a\left(mol\right)\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ b.........2b........b.........b\left(mol\right)\\ \rightarrow\left\{{}\begin{matrix}27a+56b=5,5\\1,5a+b=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,05\end{matrix}\right.\\ \rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,5}.100\approx49,091\%\\\%m_{Fe}=\dfrac{0,05.56}{5,5}.100\approx50,909\%\end{matrix}\right.\\ b.C_{MddHCl}=\dfrac{3a+2b}{0,5}=\dfrac{3.0,1+2.0,05}{0,5}=0,8\left(M\right)\)