24. Hỗn hợp X gồm Cu , Fe , Al . Cho 0,5 mol X tác dụng hoàn toàn vs dd HCl dư , thu đc 0,4mol H2. Biết 47,6g X tác dụng vừa đủ vs 29,12 lít CO2(đktc). Phần trăm khối lượng của Al trong X là?
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\(n_{Cu} = a ; n_{Al} = b ; n_{Fe} = c(mol)\\ \Rightarrow 64a + 27b + 56c = 28,6(1)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = 1,5b + c = \dfrac{13,44}{22,4} = 0,6(2)\\ \text{Mặt khác} : n_{O_2} = \dfrac{8,96}{22,4} = 0,4(mol)\\ 2Cu + O_2 \xrightarrow{t^o} 2CuO\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 4Fe + 3O_2 \xrightarrow{t^o} 2Fe_2O_3\\ \)
Ta có :
\(\dfrac{n_X}{n_{O_2}}=\dfrac{a+b+c}{0,5a +0,75b + 0,75c} = \dfrac{0,6}{0,4}(3)\\ (1)(2)(3)\Rightarrow a = \dfrac{317}{1460} ; b = \dfrac{121}{365}; c = \dfrac{15}{146}\\ \%m_{Cu} = \dfrac{\dfrac{317}{1460}.64}{28,6}.100\% = 48,59\%\\ \%m_{Al} = \dfrac{\dfrac{121}{365}.27}{28,6}.100\% = 31,3\%\\ \%m_{Fe} = 100\% - 41,59\% - 31,3\% = 27,11\%\)
TN1: Gọi (nAl; nZn; nFe) = (a; b; c)
=>27a + 65b + 56c = 20,4 (1)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
a----------------------->1,5a
Zn + 2HCl --> ZnCl2 + H2
b--------------------->b
Fe + 2HCl --> FeCl2 + H2
c----------------------->c
=> \(1,5a+b+c=0,45\) (2)
TN2: Gọi (nAl; nZn; nFe) = (ak; bk; ck)
=> ak + bk + ck = 0,2 (3)
\(n_{Cl_2}=\dfrac{6,16}{22,4}=0,275\left(mol\right)\)
PTHH: 2Al + 3Cl2 --to--> 2AlCl3
ak-->1,5ak
Zn + Cl2 -to-> ZnCl2
bk--->bk
2Fe + 3Cl2 --to--> 2FeCl3
ck--->1,5ck
=> 1,5ak + bk + 1,5ck = 0,275 (4)
(1)(2)(3)(4) => \(\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,1\left(mol\right)\\c=0,2\left(mol\right)\end{matrix}\right.\)
=> \(\%Fe=\dfrac{0,2.56}{20,4}.100\%=54,9\%\)
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
$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$
$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$
Đáp án : A
Trong 53,75g X có x mol Sn ; y mol Fe ; z mol Al
=> t(119x + 56y + 27z) = 53,75g
X + Cl2 -> SnCl4 ; FeCl3 ; AlCl3
⇒ t 4 x + 3 y + 3 z = 2 n C l 2 = 2 , 25 m o l
(Trong 0,4 mol lượng chất gấp t lần)
=> 9(119x + 56y + 27z) = 215(4x + 3y + 3z)
=> 211x – 141y – 402z = 0(1)
=> x + y + z = 0,4 mol(2)
n H 2 = x + y + 1,5z = 31/70 (mol) (3)
Từ (1,2,3) => z = 0,0857 mol
=> mAl = 2,314g
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%
a)
TN1: Gọi (nZn; nFe; nCu) = (a; b; c)
=> 65a + 56b + 64c = 18,5 (1)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH: Zn + 2HCl --> ZnCl2 + H2
a---------------------->a
Fe + 2HCl --> FeCl2 + H2
b----------------------->b
=> a + b = 0,2 (2)
TN2: Gọi (nZn; nFe; nCu) = (ak; bk; ck)
=> ak + bk + ck = 0,15 (3)
PTHH: Zn + Cl2 --to--> ZnCl2
ak-->ak
2Fe + 3Cl2 --to--> 2FeCl3
bk--->1,5bk
Cu + Cl2 --to--> CuCl2
ck-->ck
=> \(ak+1,5bk+ck=\dfrac{3,92}{22,4}=0,175\)(4)
(1)(2)(3)(4) => \(\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,1\left(mol\right)\\c=0,1\left(mol\right)\\k=0,5\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,1.65}{18,5}.100\%=35,135\%\\\%m_{Fe}=\dfrac{0,1.56}{18,5}.100\%=30,27\%\\\%m_{Cu}=\dfrac{0,1.64}{18,5}.100\%=34,595\%\end{matrix}\right.\)
b) nO(oxit) = \(\dfrac{23,7-18,5}{16}=0,325\left(mol\right)\)
=> nH2O = 0,325 (mol)
=> nHCl = 0,65 (mol)
=> \(V=\dfrac{0,65}{1}=0,65\left(l\right)=650\left(ml\right)\)
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)\(\Rightarrow\left\{{}\begin{matrix}a=0,1mol\\b=0,2mol\\c=0,1mol\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{Zn}=6,5g\\m_{Fe}=11,2g\\m_{Al}=2,7g\end{matrix}\right.\)
Gọi a, b, c là mol Cu, Fe, Al trong 0,5 mol X
\(\Rightarrow a+b+c=0,5\left(1\right)\)
Bảo toàn e:\(2b+3c=0,4.2=0,8\left(2\right)\)
Gọi ka, kb, kc là mol mỗi KL trong 47,6g X
\(\Rightarrow k\left(64a+56b+27c\right)=47,6\left(\text{*}\right)\)
\(n_{Cl2}=1,3\left(mol\right)\)
Bảo toàn e: \(k\left(2a+3b+3c\right)=1,3.2=2,6\left(\text{*}\text{*}\right)\)
(*)(**) \(\Rightarrow k=\frac{47,6}{64a+56b+27c}=\frac{2,6}{2a+3b+3c}\)
\(\Rightarrow2,6\left(64a+56b+27c\right)=47,6\left(2a+3b+3c\right)\)
\(\Rightarrow71,2a+2,8b-72,6c=0\left(3\right)\)
(1)(2)(3) \(\Rightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\\c=0,2\end{matrix}\right.\)
\(\Rightarrow\%_{Al}=22,69\%\)