cho 14,8gam hỗn hợp Al và MgO vào dung dịch H2SO4 10% (vừa đủ) thì thu được 13,44 lít khí (đktc). a) Tính % theo khối lượng mỗi chất trong hỗn hợp ban đầu . b) Tính khối lượng dung dịch H2SO4 cần dùng? . c) Tính nồng độ % các muối có trong dung dịch thu được sau phản ứng?
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2Al + 6HCl -> 2AlCl3 + 3H2 (1)
ZnO + 2HCl -> ZnCl2 + H2O (2)
a) nH2= 13,44/22.4=0.6(mol) -> mH2=0,6.2=1,2(g)
Theo PTHH: nAl = 2/3 nH2 = 2/3 . 0,6= 0,4(mol) -> mAl = 0,4 . 27=10,8(g)
-> mZnO = 27-10,8= 16,2(g)
b) nZnO = 16,2/81=0,2(mol)
Theo PTHH (2): nHCl = 2nZnO=2.0,2=0,4(mol)
Theo PTHH (1) : nHCl=2nH2=2.0,6=1,2(mol)
-> \(\Sigma\)nHCl = 0,4+1,2=1,6(mol)
-> mHCl = 1,6.36,5= 58,4(g)
-> mddHCl = 58,4.100/29,2= 200(g)
c) Theo PTHH (1): nAlCl3 = 2/3 nH2 = 2/3 . 0,6=0,4(mol) -> mAlCl3=0,4.133,5=53,4(g)
mdd sau phản ứng= mA + mddHCl - mH2 =27+200-1,2 =225,8(g)
-> C% AlCl3 = 53,4.100%/225,8 = 20,88%
Theo PTHH (2) nZnCl2 =nZnO= 0,2(mol)-> mZnCl2=0,2.136=27,2(g)
-> C% ZnCl2= 27,2.100%/255,8=10,63%
Ta vó nH2 = \(\dfrac{13,44}{22,4}\) = 0,6 ( mol )
2Al + 6HCl \(\rightarrow\) 2AlCl3 + 3H2
0,4.......0,6...........0,4........0,6
=> mAl = 27 . 0,4 = 10,8 ( gam )
=> %mAl = \(\dfrac{10,8}{27}\) . 100 = 40 %
=> %mZn = 100 - 40 = 60 %
=> mZnO = 27 - 10,8 = 16,2 ( gam )
=> nZnO = \(\dfrac{16,2}{81}\) = 0,2 ( mol )
ZnO + 2HCl \(\rightarrow\) ZnCl2 + H2O
0,2........0,4.........0,2
=> mHCl = ( 0,4 + 0,6 ) . 36,5 = 36,5 ( gam )
=> mHCl cần dùng = 36,5 : 29,2 . 100 = 125 ( gam )
=> mAlCl3 = 0,4 . 133,5 = 53,4 ( gam )
=> mZnCl2 = 136 . 0,2 = 27,2 ( gam )
Mdung dịch = Mtham gia - MH2
= 27 + 125 - 0,6 . 2
= 150,8 ( gam )
==> C%AlCl3 = \(\dfrac{53,4}{150,8}\times100\approx35,4\%\)
=> C%ZnCl2 = \(\dfrac{27,2}{150,8}\times100\approx18,04\%\)
Gọi nMg = x
nAl = y (mol)
\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=0,25\end{matrix}\right.\)
\(\rightarrow x=0,1;y=0,1\)
\(\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\%\approx47,06\%\)
\(\%m_{Al}=100\%-47,06\%=52,94\%\)
\(m_{H_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{10}=245\left(g\right)\)
a)\(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: x 1,5x
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: y y
Ta có: \(\left\{{}\begin{matrix}27x+24y=5,1\\1,5x+y=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\%m_{Al}=\dfrac{0,1.27.100\%}{5,1}=52,94\%;\%m_{Mg}=100-52,94=47,06\%\)
b)
PTHH: 2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Mol: 0,1 0,15 0,05
PTHH: Mg + H2SO4 → MgSO4 + H2
Mol: 0,1 0,1 0,1
\(m_{ddH_2SO_4}=\dfrac{\left(0,1+0,15\right).98.100}{9,8}=250\left(g\right)\)
mdd sau pứ = 5,1+250-0,15.2 = 254,8(g)
\(C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342.100\%}{254,8}=6,71\%\)
\(C\%_{ddMgSO_4}=\dfrac{0,1.120.100\%}{254,8}=4,71\%\)
\(n_{H_2}=\dfrac{5,6}{22,4}=0,25(mol)\\ Mg+H_2SO_4\to MgSO_4+H_2\\ MgO+H_2SO_4\to MgSO_4+H_2O\\ \Rightarrow n_{Mg}=0,25(mol)\\ a,\begin{cases} \%_{Mg}=\dfrac{0,25.24}{14}.100\%=42,86\%\\ \%_{MgO}=100\%-42,86\%=57,14\% \end{cases}\\ b,n_{MgO}=\dfrac{14-0,25.24}{40}=0,2(mol)\\ \Rightarrow \Sigma n_{H_2SO_4}=0,2+0,25=0,45(mol)\\ \Rightarrow C\%_{H_2SO_4}=\dfrac{0,45.98}{200}.100\%=22,05\%\)
a, Ta có: 27nAl + 56nFe = 0,83 (1)
PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow n_{Al}=n_{Fe}=0,01\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,01.27}{0,83}.100\%\approx32,53\%\\\%m_{Fe}\approx67,47\%\end{matrix}\right.\)
b, nH2SO4 = nH2 = 0,025 (mol)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,025.98}{20\%}=12,25\left(g\right)\)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
a, PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)
Ta có: \(n_{H_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,4\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,4.27}{14,8}.100\%\approx72,97\%\\\%m_{MgO}\approx27,03\%\end{matrix}\right.\)
b, Ta có: \(n_{MgO}=\dfrac{14,8-0,4.27}{40}=0,1\left(mol\right)\)
Theo PT: \(n_{H_2SO_4}=n_{H_2}+n_{MgO}=0,7\left(mol\right)\)
\(\Rightarrow m_{H_2SO_4}=0,7.98=68,6\left(g\right)\)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{68,6}{10\%}=686\left(g\right)\)
c, Theo PT: \(\left\{{}\begin{matrix}n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,2\left(mol\right)\\n_{MgSO_4}=n_{MgO}=0,1\left(mol\right)\end{matrix}\right.\)
Ta có: m dd sau pư = 14,8 + 686 - 0,6.2 = 699,6 (g)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{Al_2\left(SO_4\right)_3}=\dfrac{0,2.342}{699,6}.100\%\approx9,78\%\\C\%_{MgSO_4}=\dfrac{0,1.120}{699,6}.100\%\approx1,72\%\end{matrix}\right.\)