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Gọi $n_{Fe} = a(mol), n_{Zn} = b(mol) , n_{Al} = c(mol) \Rightarrow 56a + 65b + 27c = 20,4(1)$
$Fe + H_2SO_4 \to FeSO_4 + H_2$
$Zn + H_2SO_4 \to ZnSO_4 + H_2$
$2Al +3 H_2SO_4 \to Al_2(SO_4)_3 +3 H_2$
Theo PTHH : $n_{H_2} = a + b + 1,5c = \dfrac{10,08}{22,4} = 0,45(mol)(2)$
Mặt khác :
$2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3$
$Zn + Cl_2 \xrightarrow{t^o} ZnCl_2$
$2Al + 3Cl_2 \xrightarrow{t^o} 2AlCl_3$
Theo PTHH : $n_{Cl_2} = 1,5n_{Fe} + n_{Zn} + 1,5n_{Al}$
Suy ra : \dfrac{1,5a + b + 1,5c}{a + b + c} = \dfrac{0,275}{0,2}(3)$
Từ (1)(2)(3) suy ra : a = 0,2 ; b = 0,1 ; c = 0,1
$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$
$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(AlCl_3+3NaOH\rightarrow Al\left(OH\right)_3+3NaCl\)
\(FeCl_2+2NaOH\rightarrow Fe\left(OH\right)_2+2NaCl\)
\(NaOH+Al\left(OH\right)_3\rightarrow NaAlO_2+2H_2O\)
\(4Fe\left(OH\right)_2+O_2\underrightarrow{^{^{t^0}}}2Fe_2O_3+4H_2O\)
Ta có :
\(n_{Fe_2O_3}=\dfrac{16}{160}=0.1\left(mol\right)\)
Dựa vào PTHH ta thấy :
\(n_{Fe}=2\cdot n_{Fe_2O_3}=2\cdot0.1=0.2\left(mol\right)\)
\(m_{Fe}=0.2\cdot56=11.2\left(g\right)\)
\(\Rightarrow m_{Al}=19.3-11.2=8.1\left(g\right)\)
\(\%Al=\dfrac{8.1}{19.3}\cdot100\%=41.96\%\)
Ta có: \(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\)
\(n_{Al_2O_3}=\dfrac{10,2}{102}=0,1\left(mol\right)\)
PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
a, Theo PT: \(n_{HCl}=3n_{Al}+6n_{Al_2O_3}=1,2\left(mol\right)\)
\(\Rightarrow m_{HCl}=1,2.36,5=43,8\left(g\right)\)
b, Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}=0,3\left(mol\right)\)
\(\Rightarrow V_{H_2}=0,3.22,4=6,72\left(l\right)\)
\(n_{AlCl_3}=n_{Al}+2n_{Al_2O_3}=0,4\left(mol\right)\)
\(\Rightarrow m_{AlCl_3}=0,4.133,5=53,4\left(g\right)\)
a) Mg + 2HCl -> MgCl2 + H2
Al + 3HCl -> AlCl3 + 3/2H2
b) Gọi a, b lần lượt là số mol Mg, Al.
nH2 = 5,6/22,4 = 0,25 (mol)
Mg + 2HCl -> MgCl2 + H2
a 2a a a
Al + 3HCl -> AlCl3 + 3/2H2
b 3b b 3/2b
Ta có hệ pt:
mhh = 24a + 27b = 5,1 (g)
nH2 = a + 3/2b = 0,25 (mol)
=> a = 0,1 (mol)
b = 0,1 (mol)
200 ml = 0,2 l
nHCl = 2a + 3b = 0,2 + 0,3 = 0,5 (mol)
=> CM ddHCl = 0,5/0,2 = 2,5 (M)
%mMg = 24a/5,1*100% = 2,4/5,1*100% = 47,06%
%mAl = 100%-47,06% = 52,94%
Câu 1:
\(PTHH:Zn+2HCl\to ZnCl_2+H_2\\ m_{Zn}=29-16=13(g)\\ \Rightarrow n_{Zn}=\dfrac{13}{65}=0,2(mol)\\ \Rightarrow a=n_{HCl}=2n_{Zn}=0,4(mol)\\ n_{Cu}=\dfrac{16}{64}=0,25(mol)\\ \Rightarrow \%_{n_{Zn}}=\dfrac{0,2}{0,2+0,25}.100\%=44,44\%\\ \Rightarrow \%_{n_{Cu}}=100\%-44,44\%=55,56\%\)
Câu 2:
Đặt \(n_{Al}=x(mol);n_{Mg}=y(mol)\Rightarrow 27x+ 24y=9,9(1)\)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45(mol)\\ PTHH:2Al+6HCl\to 2AlCl_3+3H_2\\ Mg+2HCl\to MgCl_2+H_2\\ \Rightarrow 1,5x+y=0,45(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,3(mol)\\ \Sigma n_{HCl(p/ứ)}=3x+2y=0,9(mol)\\ \Rightarrow a=n_{HCl(tt)}=0,9.120\%=1,08(mol)\\ \%_{Mg}=\dfrac{0,3.24}{9,9}.100\%=72,73\%\\ \%_{Al}=100\%-72,73\%=27,27\%\)
a, \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
PTHH: 2Al + 6HCl → 2AlCl3 + 3H2
Mol: x 1,5x
PTHH: Fe + 2HCl → FeCl2 + H2
Mol: y y
b, Ta có hpt: \(\left\{{}\begin{matrix}27x+56y=11\\1,5x+y=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)
\(\Rightarrow\%m_{Al}=\dfrac{0,2.27.100\%}{11}=49,09\%\Rightarrow\%m_{Fe}=100\%-49,09\%=50,91\%\)
c, \(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
Ta có: \(\dfrac{0,2}{1}< \dfrac{0,4}{1}\) ⇒ CuO hết, H2 dư
PTHH: CuO + H2 → Cu + H2O
Mol: 0,2 0,2
\(m_{Cu}=0,2.64=12,8\left(g\right)\)
Gọi \(m_{Al}=a\left(g\right)\left(0< a< 11\right)\)
\(\rightarrow m_{Fe}=11-a\left(g\right)\)
\(\rightarrow\left\{{}\begin{matrix}n_{Al}=\dfrac{a}{27}\left(mol\right)\\n_{Fe}=\dfrac{11-a}{56}\left(mol\right)\end{matrix}\right.\)
PTHH:
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(\dfrac{a}{27}\) \(\dfrac{a}{18}\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(\dfrac{11-a}{56}\) \(\dfrac{11-a}{56}\)
\(\rightarrow pt:\dfrac{a}{18}+\dfrac{11-a}{56}=0,4\\ \Leftrightarrow m_{Al}=a=5,4\left(g\right)\left(TM\right)\)
\(\rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{5,4}{11}=49,1\%\\\%m_{Fe}=100\%-49,1\%=50,9\%\end{matrix}\right.\)
\(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
PTHH: \(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
LTL: \(0,2< 0,4\rightarrow\) H2 dư
\(n_{Cu}=n_{CuO}=0,2\left(mol\right)\rightarrow m_{CuO}=0,2.64=12,8\left(g\right)\)
- Cho hh pư với HCl
PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(MgO+2HCl\rightarrow MgCl_2+H_2O\)
\(Fe_3O_4+8HCl\rightarrow FeCl_2+2FeCl_3+4H_2O\)
Gọi: \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{MgO}=b\left(mol\right)\\n_{Fe_3O_4}=c\left(mol\right)\end{matrix}\right.\) ⇒ a + b + c = 0,4 (1)
Theo PT: \(n_{HCl}=3n_{Al}+2n_{MgO}+8n_{Fe_3O_4}=3a+2b+8c=1,5\left(2\right)\)
- Cho hh pư với NaOH:
PT: \(2Al+2H_2O+2NaOH\rightarrow2NaAlO_2+3H_2\)
Ta có: \(n_{H_2}=\dfrac{8,4}{22,4}=0,375\left(mol\right)\)
Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,25\left(mol\right)\)
\(\Rightarrow\%m_{Al}=\dfrac{0,25.27}{0,25.27+78}.100\%=\dfrac{900}{113}\%\)
%mAl không đổi trong hh.
\(\Rightarrow\dfrac{27a}{27a+40b+232c}.100=\dfrac{900}{113}\left(3\right)\)
Từ (1), (2) và (3) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{900}{113}\%\approx7,96\%\\\%m_{MgO}=\dfrac{0,2.40}{0,1.27+0,2.40+0,1.232}.100\%\approx23,6\%\\\%m_{Fe_3O_4}\approx68,44\%\end{matrix}\right.\)