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a)\(\left\{{}\begin{matrix}Fe:a\left(mol\right)\\Al:b\left(mol\right)\end{matrix}\right.\)⇒ 56a + 27b = 1,93(1)
\(Fe + 2HCl \to FeCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)
Theo PTHH : a + 1,5b = \(\dfrac{1,456}{22,4} = 0,065\)(2)
Từ (1)(2) suy ra : a = 0,02 ; b = 0,03
Vậy :
\(\%m_{Fe} = \dfrac{0,02.56}{1,93}.100\% = 58,03\%\\ \%m_{Al} = 100\% - 58,03\% = 41,97\%\)
b)
\(C_{M_{FeCl_2}} = \dfrac{0,02}{0,2} = 0,1M\\ C_{M_{AlCl_3}} = \dfrac{0,03}{0,2} = 0,15M\)
c)
\(n_{HCl} = 2n_{H_2} = 0,065.2 = 0,13(mol)\\ a = \dfrac{0,13}{0,2} = 0,65(M)\)
Bài 15:
nHCl= 0,4.2,75=1,1(mol)
=> nH+=nCl-=nHCl= 1,1(mol)
m=m(muối)= mCl- + m(hh kim loại)= 35,5.1,1 + 25,3= 64,35(g)
nH2= nH+/2= 1,1/2= 0,55(mol)
=> V=V(H2,đktc)= 0,55.22,4=12,32(l)
\(n_{Al}=\dfrac{0,54}{27}=0,02mol\\ n_{HCl}=0,4.0,2=0,08mol \\2 Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\dfrac{0,02}{2}< \dfrac{0,08}{6}\Rightarrow HCl.dư\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\)
0,02 0,06 0,02 0,03
\(V_{H_2}=0,03.22,4=0,672l\\ C_{M\left(AlCl_3\right)}=\dfrac{0,02}{0,2}=0,1M\\ C_{M\left(HCl.dư\right)}=\dfrac{0,08-0,06}{0,2}=0,1M\)
\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+3H_2\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=11\\1,5a+b=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\ a,n_{HCl}=2.n_{H_2}=2.0,4=0,8\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,8}{8}=0,1\left(l\right)\\ b,FeCl_2+2AgNO_3\rightarrow Fe\left(NO_3\right)_2+2AgCl\downarrow\\ AlCl_3+3AgNO_3\rightarrow Al\left(NO_3\right)_3+3AgCl\downarrow\\ n_{AgCl}=n_{AgNO_3}=3.n_{AlCl_3}+2.n_{FeCl_2}=3.a+2.b=3.0,2+2.0,1=0,8\left(mol\right)\\ \Rightarrow a=\dfrac{170.0,8}{250}.100=54,4\%\\ b=m_{\downarrow}=m_{AgCl}=0,8.143,5=114,8\left(g\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\n_{H_2}=\dfrac{2,16}{22,4}=0,09\left(mol\right)\\ \Rightarrow \left\{{}\begin{matrix}1,5a+b=0,09\\27a+56b=2,76\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,04\\b=0,03\end{matrix}\right.\\ \Rightarrow\%m_{Al}=\dfrac{0,04.27}{2,76}.100\approx39,13\%\\ \Rightarrow\%m_{Fe}\approx100\%-39,13\%\approx60,87\%\)
\(b,V_{ddsau}=V_{ddHCl}=0,2\left(l\right)\\ n_{AlCl_3}=n_{Al}=0,04\left(mol\right);n_{FeCl_2}=n_{Fe}=0,03\left(mol\right)\\ \Rightarrow C_{MddFeCl_2}=\dfrac{0,03}{0,2}=0,15\left(M\right)\\ C_{MddAlCl_3}=\dfrac{0,04}{0,2}=0,2\left(M\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)
\(x\) \(1,5x\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)
\(y\) \(y\)
Có \(27x+56y=2,76\left(1\right)\)
\(1,5x+y=\dfrac{2,016}{22,4}=0,09\left(2\right)\)
Từ (1) và (2)\(\Rightarrow\left\{{}\begin{matrix}x=0,04\\y=0,03\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{0,04\cdot27}{2,76}\cdot100\%=39,13\%\)
\(\%m_{Fe}=100\%-39,13\%=60,87\%\)
- Thấy Cu không phản ứng với HCl .
\(\Rightarrow m_{cr}=m_{Cu}=6,4\left(g\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
.x.......................................1,5x.........
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
.y....................................y.............
Theo bài ra ta có hệ : \(\left\{{}\begin{matrix}27x+56y+6,4=17,4\\1,5x+y=0,4\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\) ( mol )
\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=5,4\\m_{Fe}=5,6\end{matrix}\right.\) ( g )
b, \(FeCl_2+2NaOH\rightarrow Fe\left(OH\right)_2+2NaCl\)
.......0,1.........0,2...............................
\(AlCl_3+3NaOH\rightarrow Al\left(OH\right)_3+3NaCl\)
...0,2.......0,6..........................
\(\Rightarrow n_{NaOH}=0,2+0,6=0,8< 1\)
=> Trong B còn có HCl dư .
\(NaOH+HCl\rightarrow NaCl+H_2O\)
...0,2..........0,2....................
=> Dư 0,2 mol HCl .
\(\Rightarrow n_{HCl}=2n_{H_2}+0,2=1\left(mol\right)\)
\(\Rightarrow m_{ddB}=17,4+250-6,4-0,8=260,2\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{HCl}=\dfrac{0,2.36,5}{260,2}.100\%\approx2,8\%\\C\%_{FeCl_2}\approx4,88\%\\C\%_{AlCl_3}\approx10,26\%\end{matrix}\right.\)
Vậy ....