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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)\(\Sigma n_{H_2}=\dfrac{3}{2}x+y=\dfrac{3}{2}\cdot0,2+0,1=0,4mol\)
\(V_{H_2}=0,4\cdot22.4=8,96l\)
$a\bigg)$
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: $n_{AlCl_3}=0,4(mol);n_{FeCl_2}=0,2(mol)$
$\to \begin{cases} C\%_{AlCl_3}=\dfrac{0,4.133,5}{254}.100\%\approx 21,02\%\\ C\%_{FeCl_2}=\dfrac{0,2.127}{254}.100\%=10\% \end{cases}$
\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+3H_2\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=11\\1,5a+b=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\ a,n_{HCl}=2.n_{H_2}=2.0,4=0,8\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,8}{8}=0,1\left(l\right)\\ b,FeCl_2+2AgNO_3\rightarrow Fe\left(NO_3\right)_2+2AgCl\downarrow\\ AlCl_3+3AgNO_3\rightarrow Al\left(NO_3\right)_3+3AgCl\downarrow\\ n_{AgCl}=n_{AgNO_3}=3.n_{AlCl_3}+2.n_{FeCl_2}=3.a+2.b=3.0,2+2.0,1=0,8\left(mol\right)\\ \Rightarrow a=\dfrac{170.0,8}{250}.100=54,4\%\\ b=m_{\downarrow}=m_{AgCl}=0,8.143,5=114,8\left(g\right)\)
\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)
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)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)
\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)
\(n_{Mg}=\dfrac{6}{24}=0,25\left(mol\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
0,25 ---> 0,5 ---> 0,25 ---> 0,25
\(V_{H_2}=0,25.22,4=5,6\left(l\right)\\ m_{MgCl_2}=0,25.95=23,75\left(g\right)\\ m_{HCl}=0,5.36,5=18,25\left(g\right)\\ m_{ddHCl}=\dfrac{18,25}{18,25\%}=100\left(g\right)\\ m_{H_2}=0,25.2=0,5\left(g\right)\\ m_{dd}=100+6-0,5=105,5\left(g\right)\\ C\%_{MgCl_2}=\dfrac{23,75}{105,5}=22,51\%\)
\(n_{H_2}=\dfrac{2,464}{22,4}=0,11mol\)
\(\left\{{}\begin{matrix}Al:x\left(mol\right)\\Fe:y\left(mol\right)\end{matrix}\right.\Rightarrow Muối\left\{{}\begin{matrix}Al_2\left(SO_4\right)_3\\FeSO_4\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}BTe:3x+2y=2n_{H_2}=0,22\\\dfrac{x}{2}\cdot342+y\cdot152=14,44\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,04mol\\y=0,05mol\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,04\cdot27=1,08g\\m_{Fe}=0,05\cdot56=2,8g\end{matrix}\right.\)
\(Al_2\left(SO_4\right)_3+3BaCl_2\rightarrow2AlCl_3+3BaSO_4\downarrow\)
0,02 0,06
\(FeSO_4+BaCl_2\rightarrow BaSO_4\downarrow+FeCl_2\)
0,05 0,05
\(\Rightarrow\Sigma n_{\downarrow}=0,06+0,05=0,11\Rightarrow m_{BaSO_4}=x=25,63g\)
- 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 ....
\(a,Fe+2HCl\rightarrow FeCl_2+H_2\\ CuO+2HCl\rightarrow CuCl_2+H_2O\\ n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\Rightarrow n_{Fe}=n_{H_2}=0,1\left(mol\right)\\ \Rightarrow\%m_{Fe}=\dfrac{0,1.56}{13,6}.100\%\approx41,176\%\\ \Rightarrow\%m_{CuO}\approx58,824\%\\ b,n_{CuO}=\dfrac{13,6-0,1.56}{80}=0,1\left(mol\right)\\ n_{HCl\left(p.ứ\right)}=2.\left(n_{Fe}+n_{CuO}\right)=2.\left(0,1+0,1\right)=0,4\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,4}{2}=0,2\left(l\right)\)
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)\(\Sigma n_{H_2}=1,5x+y=1,5\cdot0,1+0,15=0,3mol\)
\(V_{H_2}=0,3\cdot22,4=6,72l\)