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Gọi số mol của Cu, Fe, Al trong 23,8 gam hhX lần lượt là x, y, z mol
→ mX = 64x + 56y + 27z = 23,8 (1)
\(n_{Cl_2}\) = x + 1,5y + 1,5z = 0,65 (2)
0,25 mol X + HCl → 0,2 mol H2 nên 0,2.(x + y + z) = 0,25.(y + 1,5z) (3)
Từ (1), (2), (3) => x = 0,2 mol; y = 0,1 mol; z = 0,2 mol
\(\%_{Cu} = \dfrac{0,2. 64}{23,8} \approx 53,78\%\)
\(\%_{Fe} = \dfrac{0,1 .56}{23,8} \approx 23,53\%\)
%Al ≈ 22,69%
Trong \(20,4g\) hỗn hợp có: \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\\n_{Al}=c\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow65a+56b+27c=20,4\left(1\right)\)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45mol\)
\(BTe:2n_{Zn}+2n_{Fe}+3n_{Al}=2n_{H_2}\)
\(\Rightarrow2a+2b+3c=2\cdot0,45\left(2\right)\)
Trong \(0,2mol\) hhX có \(\left\{{}\begin{matrix}Zn:ka\left(mol\right)\\Fe:kb\left(mol\right)\\Al:kc\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow ka+kb+kc=0,2\)
\(n_{Cl_2}=\dfrac{6,16}{22,4}=0,275mol\)
\(BTe:2n_{Zn}+3n_{Fe}+3n_{Al}=2n_{Cl_2}\)
\(\Rightarrow2ka+3kb+3kc=2\cdot0,275\)
Xét thương:
\(\dfrac{ka+kb+kc}{2ka+3kb+3kc}=\dfrac{0,2}{2\cdot0,275}\Rightarrow\dfrac{a+b+c}{2a+3b+3c}=\dfrac{4}{11}\)
\(\Rightarrow3a-b-c=0\left(3\right)\)
Từ (1), (2), (3)\(\Rightarrow\left\{{}\begin{matrix}a=0,1mol\\b=0,2mol\\c=0,1mol\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{Zn}=6,5g\\m_{Fe}=11,2g\\m_{Al}=2,7g\end{matrix}\right.\)
a) \(2Al+6HCl\rightarrow2AlCl_3+3H_2\left(1\right)\\ Fe+2HCl\rightarrow FeCl_2+H_2\left(2\right)\\ 2Al+2NaOH+2H_2O\rightarrow2NaAlO_2+3H_2\)
Cho hỗn hợp tác dụng với NaOH, chất rắn không tan là Fe
=> mFe= 1,12 (g) \(\Rightarrow n_{Fe}=0,02\left(mol\right)\)
Ta có: \(n_{H_2\left(2\right)}=n_{Fe}=0,02\left(mol\right)\)
=> \(n_{H_2\left(1\right)}=\Sigma n_{H_2}-n_{H_2\left(2\right)}=0,065-0,02=0,045\left(mol\right)\)
\(\Rightarrow n_{Al}=\dfrac{2}{3}n_{H_2\left(1\right)}=0,03\left(mol\right)\)
\(\Rightarrow m_{Al}=0,03.27=0,81\left(g\right)\)
\(\Rightarrow\%m_{Al}=41,97\%,\%m_{Fe}=58,03\%\)
b) \(m_{FeCl_2}=0,02.127=2,54\left(g\right)\\ m_{AlCl_3}=0,03.133,5=4,005\left(g\right)\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
x 2x x x
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
y 2y y y
\(\left\{{}\begin{matrix}x+y=0,5\\24x+56y=23,2\end{matrix}\right.\)
\(\Leftrightarrow x=0,15;y=0,35\)
\(a,m_{Mg}=0,15.24=3,6\left(g\right)\)
\(m_{Fe}=19,6\left(g\right)\)
\(b,m_{HCl}=\left(0,3+0,7\right).36,5=36,5\left(g\right)\)
\(m_{ddHCl}=1,14.200=228\left(g\right)\)
\(C\%=\dfrac{36,5}{228}.100\%=16\%\)
\(a.n_{H_2}=\dfrac{11,2}{22,4}=0,5mol\\ n_{Mg}=a;n_{Fe}=b\\ Mg+2HCl\rightarrow MgCl_2+H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+56b=23,2\\a+b=0,5\end{matrix}\right.\\ \Rightarrow a=0,15;b=0,35mol\\ m_{Mg}=0,15.24=3,6g\\ m_{Fe}=23,2-3,6=19,6g\\ b.m_{HCl}=\left(0,15+0,35\right).2.36,5=36,5g\\ m_{ddHCl}=1,14.200=228g\\ C_{\%HCl}=\dfrac{36,5}{228}\cdot100=16,01\%\)
a) Gọi số mol Mg, Al, Fe trong m gam hỗn hợp là a, b, c (mol)
\(n_{H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\)
PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
_______a--------------------->a------->a_______(mol)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\uparrow\)
_b-------------------->b------->1,5b___________(mol)
\(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)
_c------------------>c------->c_______________(mol)
=> \(\left\{{}\begin{matrix}a+1,5b+c=0,35\left(1\right)\\95a+133,5b+127c=35,55\left(2\right)\end{matrix}\right.\)
Mặt khác:
PTHH: \(Mg+Cl_2\underrightarrow{t^o}MgCl_2\)
_______a--------------->a_________(mol)
\(2Al+3Cl_2\underrightarrow{t^o}2AlCl_3\)
_b----------------->b______________(mol)
\(2Fe+3Cl_2\underrightarrow{t^o}2FeCl_3\)
_c------------------>c______________(mol)
=> 95a + 133,5b + 162,5 = 39,1 (3)
(1)(2)(3) => \(\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,1\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
=> m = 24.0,1 + 27.01 + 56.0,1 = 10,7(g)
b) \(\left\{{}\begin{matrix}m_{Mg}=24.0,1=2,4\left(g\right)\\m_{Al}=27.0,1=2,7\left(g\right)\\m_{Fe}=56.0,1=5,6\left(g\right)\end{matrix}\right.\)
\(n_{Cu} = a ; n_{Al} = b ; n_{Fe} = c(mol)\\ \Rightarrow 64a + 27b + 56c = 28,6(1)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\\ \text{Mặt khác} : n_{O_2} = \dfrac{8,96}{22,4} = 0,4(mol)\\ 2Cu + O_2 \xrightarrow{t^o} 2CuO\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 4Fe + 3O_2 \xrightarrow{t^o} 2Fe_2O_3\\ \)
Ta có :
\(\dfrac{n_X}{n_{O_2}}=\dfrac{a+b+c}{0,5a +0,75b + 0,75c} = \dfrac{0,6}{0,4}(3)\\ (1)(2)(3)\Rightarrow a = \dfrac{317}{1460} ; b = \dfrac{121}{365}; c = \dfrac{15}{146}\\ \%m_{Cu} = \dfrac{\dfrac{317}{1460}.64}{28,6}.100\% = 48,59\%\\ \%m_{Al} = \dfrac{\dfrac{121}{365}.27}{28,6}.100\% = 31,3\%\\ \%m_{Fe} = 100\% - 41,59\% - 31,3\% = 27,11\%\)
