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- Phần 1:
Gọi: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\\n_{Cu}=z\left(mol\right)\end{matrix}\right.\) (trong phần 1)
⇒ 24x + 27y + 64z = 3,48 (1)
PT: \(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
Theo PT: \(n_{HCl}=2n_{Mg}+3n_{Al}=2x+3y=0,16\left(2\right)\)
- Phần 2:
Mg, Al, Cu có số mol lần lượt là: kx, ky, kz (mol)
PT: \(2Mg+O_2\underrightarrow{t^o}2MgO\)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(2Cu+O_2\underrightarrow{t^o}2CuO\)
Theo PT: \(n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{3}{4}n_{Al}+\dfrac{1}{2}n_{Cu}=\dfrac{1}{2}kx+\dfrac{3}{4}ky+\dfrac{1}{2}kz=0,165\left(3\right)\)
PT: \(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
Theo PT: \(n_{H_2}=n_{CuO}=n_{Cu}=kz=0,09\left(4\right)\)
Từ (3) và (4) có: \(\dfrac{kz}{\dfrac{1}{2}kx+\dfrac{3}{4}ky+\dfrac{1}{2}kz}=\dfrac{0,09}{0,165}\Rightarrow\dfrac{z}{\dfrac{1}{2}x+\dfrac{3}{4}y+\dfrac{1}{2}z}=\dfrac{6}{11}\)
⇒ 3x + 4,5y - 8z = 0 (5)
Từ (1), (2) và (5) \(\Rightarrow\left\{{}\begin{matrix}x=0,02\left(mol\right)\\y=0,04\left(mol\right)\\z=0,03\left(mol\right)\end{matrix}\right.\)
Thay vào (4) ⇒ k = 3
Vậy: nMg = x + kx = 0,08 (mol) ⇒ mMg = 0,08.24 = 1,92 (g)
nAl = y + ky = 0,16 (mol) ⇒ mAl = 0,16.27 = 4,32 (g)
nCu = z + kz = 0,12 (mol) ⇒ mCu = 0,12.64 = 7,68 (g)
- 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) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{900}{113}\%\approx7,96\%\\\%m_{MgO}=\dfrac{0,2.40}{0,1.27+0,2.40+0,1.232}.100\%\approx23,6\%\\\%m_{Fe_3O_4}\approx68,44\%\end{matrix}\right.\)
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
$\%m_{Fe} = \dfrac{0,2.56}{20,4}.100\% = 54,9\%$
$\%m_{Zn} = \dfrac{0,1.65}{20,4}.100\% = 31,9\%$
$\%m_{Al} = 100\% - 54,9\% - 31,9\% = 13,2\%$
Bài 5:
mCu= 43,24% . 14,8\(\approx\) 6,4(g)
=>mFe\(\approx\) 14,8 - 6,4= 8,4(g)
=> nFe\(\approx\) 8,4/56\(\approx\) 0,15(mol)
PTHH: Fe + 2 HCl -> FeCl2 + H2
nH2=nFe \(\approx\) 0,15 (mol)
=> V(H2,đktc) \(\approx\) 0,15 . 22,4\(\approx\) 3,36(l)
Bài 6:
nH2= 4,368/22,4=0,195(mol)
Đặt: nMg=a(mol); nAl=b(mol) (a,b>0)
PTHH: Mg + 2 HCl -> MgCl2 + H2
a________2a_____a_____a(mol)
2 Al + 6 HCl -> 2 AlCl3 +3 H2
b____3b____b______1,5b(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}24a+27b=3,87\\a+1,5b=0,195\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,06\\b=0,09\end{matrix}\right.\)
a) nH2SO4= 2a+3b=0,39(mol)
=> mH2SO4= 0,39.98=38,22(g)
b) m(muối)= mMgSO4 + mAl2(SO4)3= 120a+ 133,5b= 120.0,06+133,5.0,09= 19,215(g)
\(n_{HCl}=0,5a\left(mol\right)\)
PTHH:
2Al + 6HCl ---> 2AlCl3 + 3H2
Zn + 2HCl ---> ZnCl2 + H2
Mg + 2HCl ---> MgCl2 + H2
Fe + 2HCl ---> FeCl2 + H2
Theo các pthh: \(n_{H_2}=\dfrac{1}{2}n_{HCl}=\dfrac{1}{2}.0,5a=0,25a\left(mol\right)\)
\(n_{H_2\left(pư\right)}=0,25a.80\%=0,2a\left(mol\right)\)
\(m_{giảm}=m_O=40-36,8=3,2\left(g\right)\)
Bảo toàn O: \(n_{H_2\left(pư\right)}=n_O=\dfrac{3,2}{32}=0,1\left(mol\right)\)
\(\rightarrow0,2a=0,1\Leftrightarrow a=2\)
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 \(n_{Al}=x(mol);n_{Mg}=y(mol)\Rightarrow 27x+ 24y=9,9(1)\)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45(mol)\\ PTHH:2Al+6HCl\to 2AlCl_3+3H_2\\ Mg+2HCl\to MgCl_2+H_2\\ \Rightarrow 1,5x+y=0,45(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,3(mol)\\ \Sigma n_{HCl(p/ứ)}=3x+2y=0,9(mol)\\ \Rightarrow a=n_{HCl(tt)}=0,9.120\%=1,08(mol)\\ \%_{Mg}=\dfrac{0,3.24}{9,9}.100\%=72,73\%\\ \%_{Al}=100\%-72,73\%=27,27\%\)
\(n_{H_2SO_4}=0.6\left(mol\right)\)
\(4Fe^{\dfrac{+3}{4}}\rightarrow4Fe^{3+}+9e\)
\(x...................\dfrac{9}{4}x\)
\(S^{+6}+2e\rightarrow S^{+4}\)
\(0.6......1.2\)
Bảo toàn e :
\(\dfrac{9}{4}x=1.2\Rightarrow x=\dfrac{8}{15}\)
\(m=\dfrac{8}{15}\cdot232=123.7\left(g\right)\)
Ta có :
$n_{O(oxit)} = \dfrac{3,5 - 2,22}{16} = 0,08(mol)$
Bản chất là O(trong oxit) kết hợp với H(trong axit) tạo thành nước.
$n_H = n_{HCl} + 2n_{H_2SO_4} = 4x(mol)$
$2H + O \to H_2O$
Ta có :
$4x = 0,08.2 \Rightarrow x = 0,04$
thanks bro