22. Hoà tan 5,5 gam hh 2 kim loại Al, Fe trong 500 ml dd HCl vừa đủ thu được 4,48 lít khí đktc
a. Tính % khối lượng 2 kim loại b. Tính CM dd HCl
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- 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 ....
Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 56y = 5,5 (1)
PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{3}{2}x+y=\dfrac{4,48}{22,4}=0,2\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,1.27}{5,5}.100\%\approx49,09\%\\\%m_{Fe}\approx50,91\%\end{matrix}\right.\)
\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)
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)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)
\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2mol\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Theo pt: \(\Rightarrow\left\{{}\begin{matrix}3x+y=0,2\\27x+56y=5,5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{19}{470}\\y=\dfrac{37}{470}\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{\dfrac{19}{470}\cdot27}{5,5}\cdot100\%=19,84\%\)
\(\%m_{Fe}=100\%-19,84\%=80,16\%\)
a.
\(m_{Ag}=m_{k.tan}=8,7\left(g\right)\\ m_{Zn,Mg}=20-8,7=11,3\left(g\right)\\ \left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}65a+24b=11,3\\a+b=0,3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,2\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{Ag}=\dfrac{8,7}{20}.100=43,5\%\\\%m_{Mg}=\dfrac{24.0,2}{20}.100=24\%\\\%m_{Zn}=\dfrac{0,1.65}{20}.100=32,5\%\end{matrix}\right.\)
b.
\(n_{H_2SO_4\left(tổng\right)}=a+b=0,3\left(mol\right)\\ V_{ddH_2SO_4\left(tổng\right)}=\dfrac{0,3}{0,5}=0,6\left(lít\right)=600\left(ml\right)\)
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Zn}=y\left(mol\right)\end{matrix}\right.\)
\(n_{HCl}=0,2\cdot4=0,8mol\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(x\) \(\rightarrow\) \(3x\) \(x\)
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
\(y\) \(\rightarrow\) \(2y\) \(y\)
\(\Rightarrow\left\{{}\begin{matrix}27x+65y=11,9\\3x+2y=0,8\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
a)\(\%m_{Al}=\dfrac{0,2\cdot27}{11,9}\cdot100\%=45,38\%\)
\(\%m_{Zn}=100\%-45,38\%=54,62\%\)
b)\(\Sigma n_{H_2}=\dfrac{3}{2}x+y=\dfrac{3}{2}\cdot0,2+0,1=0,4mol\)
\(V_{H_2}=0,4\cdot22.4=8,96l\)
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)
=> \(V_{H_2}=0,3.22,4=6,72\left(l\right)\)
mdd 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)\(\Sigma n_{H_2}=1,5x+y=1,5\cdot0,1+0,15=0,3mol\)
\(V_{H_2}=0,3\cdot22,4=6,72l\)
\(a.n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ a............3a.......a.........1,5a\left(mol\right)\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ b.........2b........b.........b\left(mol\right)\\ \rightarrow\left\{{}\begin{matrix}27a+56b=5,5\\1,5a+b=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,05\end{matrix}\right.\\ \rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,5}.100\approx49,091\%\\\%m_{Fe}=\dfrac{0,05.56}{5,5}.100\approx50,909\%\end{matrix}\right.\\ b.C_{MddHCl}=\dfrac{3a+2b}{0,5}=\dfrac{3.0,1+2.0,05}{0,5}=0,8\left(M\right)\)
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