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\(n_{Zn} = a(mol) ; n_{Al} = b(mol) ; n_{Mg} = c(mol)\\ \Rightarrow 65a + 27b + 24c = 44,1(1)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3 H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{31,36}{22,4} = 1,4(2)\\ Mà : 2a = 3b(3)\\ (1)(2)(3) \Rightarrow a = 0,3 ; b = 0,2 ; c = 0,8\\ \%m_{Zn} = \dfrac{0,3.65}{44,1}.100\% = 44,22\%\\ \%m_{Al} = \dfrac{0,2.27}{44,1}.100\% = 12,24\%\)
\(\%m_{Mg} = 100\% -44,22\% -12,24\% = 43,54\%\)
a,\(n_{H_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
PTHH: Zn + 2HCl → ZnCl2 + H2
Mol: x x
PTHH: Fe + 2HCl → FeCl2 + H2
Mol: y y
Ta có: \(\left\{{}\begin{matrix}65x+56y=30,7\\x+y=0,5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,3\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\%m_{Zn}=\dfrac{0,3.65.100\%}{30,7}=63,52\%;\%m_{Fe}=100\%-63,52\%=36,48\%\)
b,
PTHH: Zn + 2HCl → ZnCl2 + H2
Mol: 0,3 0,6
PTHH: Fe + 2HCl → FeCl2 + H2
Mol: 0,2 0,4
nHCl = 0,6+0,4 = 1 (mol)
\(V_{ddHCl}=\dfrac{1}{2}=0,5\left(l\right)=500\left(ml\right)\)
nH2 = 13,44/22,4 = 0,6 (mol)
PTHH: Mg + 2HCl -> MgCl2 + H2
nHCl = 0,6 . 2 = 1,2 (mol)
mHCl = 1,2 . 36,5 = 43,8 (g)
nMg = 0,6 (mol)
mMg = 0,6 . 24 = 14,4 (g)
Không thấy mhh để tính%
Gọi x,y lần lượt là số mol của Al, Fe
nH2 = \(\dfrac{8,96}{22,4}\)=0,4 mol
Pt: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
......x.................................0,5x...........1,5x
.....Fe + H2SO4 --> FeSO4 + H2
.......y..........................y............y
Ta có hệ pt:
{27x+56y=11
1,5x+y=0,4
⇔x=0,2, y=0,1
% mAl = \(\dfrac{0,2.27}{11}\).100%=49,1%
% mFe = \(\dfrac{0,1.56}{11}\).100%=50,9%
mAl2(SO4)3 = 0,5x . 342 = 0,5 . 0,2 . 342 = 34,2 (g)
mFeSO4 = 152y = 152 . 0,1 = 15,2 (g)
Gọi CTTQ: MxOy
Pt: MxOy + yH2 --to--> xM + yH2O
\(\dfrac{0,4}{y}\)<-------0,4
Ta có: 232,2=\(\dfrac{0,4}{y}\)(56x+16y)
⇔23,2=\(\dfrac{22,4x}{y}\)+6,4
⇔\(\dfrac{22,4x}{y}\)=16,8
⇔22,4x=16,8y
⇔x:y=3:4
Vậy CTHH của oxit: Fe3O4
a, \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
\(m_{HCl}=730.10\%=73\left(g\right)\Rightarrow n_{HCl}=\dfrac{73}{36,5}=2\left(mol\right)\)
\(n_{H_2}=\dfrac{17,92}{22,4}=0,8\left(mol\right)\)
→ nHCl > 2nH2 ⇒ HCl dư.
Ta có: 27nAl + 65nZn = 23,8 (1)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Zn}=0,8\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Al}=0,4\left(mol\right)\\n_{Zn}=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{23,8}.100\%\approx45,4\%\\\%m_{Zn}\approx54,6\%\end{matrix}\right.\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,4\left(mol\right)\\n_{ZnCl_2}=n_{Zn}=0,2\left(mol\right)\\n_{HCl\left(pư\right)}=2n_{H_2}=1,6\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{HCl\left(dư\right)}=2-1,6=0,4\left(mol\right)\)
Ta có: m dd sau pư = 23,8 + 730 - 0,8.2 = 752,2 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{AlCl_3}=\dfrac{0,4.133,5}{752,2}.100\%\approx7,1\%\\C\%_{ZnCl_2}=\dfrac{0,2.136}{752,2}.100\%\approx3,62\%\\C\%_{HCl}=\dfrac{0,4.36,5}{752,2}.100\%\approx1,94\%\end{matrix}\right.\)
a) \(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
_____0,2<---0,6<--------------0,3
=> \(\left\{{}\begin{matrix}\%Al=\dfrac{0,2.27}{15,6}.100\%=34,615\%\\\%Al_2O_3=\dfrac{15,6-0,2.27}{15,6}.100\%=65,385\%\end{matrix}\right.\)
b) \(n_{Al_2O_3}=\dfrac{15,6-0,2.27}{102}=0,1\left(mol\right)\)
PTHH: Al2O3 + 6HCl --> 2AlCl3 + 3H2O
______0,1--->0,6
=> nHCl = 0,6+0,6 = 1,2(mol)
=> \(V_{dd}=\dfrac{1,2}{2}=0,6\left(l\right)\)
a) Đặt \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow24a+27b=5,1\) (1)
Ta có: \(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
Bảo toàn electron: \(2a+3b=0,5\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%\approx47,06\%\\\%m_{Al}=52,94\%\end{matrix}\right.\)
b) Bảo toàn nguyên tố: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)
\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)
\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)
