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Câu 1:
Đặt \(n_{Al}=x(mol);n_{Fe}=y(mol)\Rightarrow 27x+56y=0,83(1)\)
\(n_{H_2}=\dfrac{0,56}{22,4}=0,025(mol)\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ Fe+H_2SO_4\to FeSO_4+H_2\\ \Rightarrow 1,5x+y=0,025(2)\\ (1)(2)\Rightarrow x=y=0,01(mol)\\ \Rightarrow \%_{Al}=\dfrac{0,01.27}{0,83}.100\%=32,53\%\\ \Rightarrow \%_{Fe}=100\%-32,53\%=67,47\%\)
Câu 2:
Đặt \(n_{Al}=x(mol);n_{Mg}=y(mol)\Rightarrow 27x+24y=4,5(1)\)
\(n_{H_2}=\dfrac{5,04}{22,4}=0,225(mol)\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ Mg+H_2SO_4\to MgSO_4+H_2\\ \Rightarrow 1,5x+y=0,225(2)\\ (1)(2)\Rightarrow x=0,1(mol);y=0,075(mol)\\ \Rightarrow \%_{Al}=\dfrac{0,1.27}{4,5}.100\%=60\%\\ \Rightarrow \%_{Mg}=100\%-60\%=40\%\)
Dạng PP hai dòng:
\(PTHH:2A+Cl_2\to 2ACl\\ \Rightarrow n_A=n_{ACl}\\ \Rightarrow \dfrac{9,2}{M_A}=\dfrac{23,4}{M_A+35,5}\\ \Rightarrow M_A=23(g/mol)\)
Vậy A là natri
a)
$2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2$
$Fe + H_2SO_4 \to FeSO_4 + H_2$
b)
Gọi $n_{Al} = a(mol) ; n_{Fe} = b(mol) \Rightarrow 27a + 56b = 0,83(1)$
Theo PTHH : $n_{H_2} = 1,5a + b = \dfrac{0,56}{22,4} = 0,025(2)$
Từ (1)(2) suy ra : a = 0,01; b = 0,01
$\%m_{Al} = \dfrac{0,01.27}{0,84}.100\% = 32,1\%$
$\%m_{Fe} = 100\% - 32,1\% = 67,9\%$
Gọi x,y là số mol của AI và Fe
2Al + 3H2SO4 -> Al2(SO4)3 + 3H2
x --------------------... \(\frac{3x}{2}\)
Fe + H2SO4 -> FeSO4 + H2
y ----------------------> y
n H2 = 0,56 / 22,4 = 0,025 mol
Ta có hệ \(\begin{cases}27x+56y=0,83\\x+\frac{3x}{2}=0,025\end{cases}\)
\(\begin{cases}x=0,01mol\\y=0,01mol\end{cases}\)
=> m Al = 0,01 x 27 = 0,27 g
=> m Fe = 0,01 x 56 = 0,56 g
=> % Al = 0,27 / 0,83 x 100% = 32,53 %
=> % Fe = 0,56 / 0,83 x 100% = 67,47 %
\(n_{H_2SO_4}=0,2.2=0,4\left(mol\right)\)
Fe + H2SO4 → FeSO4 + H2
2Al + 3H2SO4 → Al2(SO4)3 + 3H2
Gọi x,y lần lượt là số mol Fe, Al
\(\left\{{}\begin{matrix}56x+27y=11\\x+\dfrac{3}{2}y=0,4\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
=>\(\%m_{Fe}=\dfrac{0,1.56}{11}.100=50,91\%\)
=> %m Al = 100 - 50,91 =49,09 %
b)Theo PT: \(n_{H_2}=n_{H_2SO_4}=0,4\left(mol\right)\)
=> \(V_{H_2}=0,4.22,4=8,96\left(l\right)\)
c) \(CM_{FeSO_4}=\dfrac{0,1}{0,2}=0,5M\)
\(CM_{Al_2\left(SO_4\right)_3}=\dfrac{\dfrac{0,2}{2}}{0,2}=0,5M\)
a) PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
b) \(n_{H_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
_____0,02<---0,03<---------------------0,03
=> \(\left\{{}\begin{matrix}\%Al=\dfrac{0,02.27}{2,16}.100\%=25\%\\\%Cu=100\%-25\%=75\%\end{matrix}\right.\)
c) mH2SO4 = 0,03.98 = 2,94 (g)
=> \(C\%\left(H_2SO_4\right)=\dfrac{2,94}{200}.100\%=1,47\%\)
PTHH:
Zn + H2SO4 ---> ZnSO4 + H2 (1)
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2 (2)
Ta có: \(n_{H_2}=\dfrac{1,792}{22,4}=0,08\left(mol\right)\)
Gọi x, y lần lượt là số mol của Zn và Al
a. Theo PT(1): \(n_{H_2}=n_{Zn}=x\left(mol\right)\)
Theo PT(2): \(n_{H_2}=\dfrac{3}{2}.n_{Al}=\dfrac{3}{2}y\left(mol\right)\)
=> \(x+\dfrac{3}{2}y=0,8\) (*)
Theo đề, ta có: 65x + 27y = 3,79 (**)
Từ (*) và (**), ta có HPT:
\(\left\{{}\begin{matrix}x+\dfrac{3}{2}y=0,8\\65x+27y=3,79\end{matrix}\right.\)
(Ra số âm, bn xem lại đề nhé.)
\(a.n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ Đặt:\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\ 2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}27a+24b=5,1\\1,5a+b=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ \left\{{}\begin{matrix}\%m_{Al}=\dfrac{27.0,1}{5,1}.100\approx52,941\%\\\%m_{Mg}\approx47,059\%\end{matrix}\right.\)
\(b.m_{ddH_2SO_4}=\dfrac{0,25.98.100}{9,8}=250\left(g\right)\\ m_{ddsau}=m_{Al,Mg}+m_{ddH_2SO_4}-m_{H_2}=5,1+250-0,25.2=254,6\left(g\right)\\ C\%_{ddAl_2\left(SO_4\right)_3}=\dfrac{0,05.342}{254,6}.100\approx6,716\%\\ C\%_{ddMgSO_4}=\dfrac{0,1.120}{254,6}.100\approx4,713\%\)
\(n_{H_2}=\dfrac{0,56}{22,4}=0,025(mol)\\ n_{Fe}=x(mol);n_{Al}=y(mol)\\ \Rightarrow 56x+27y=0,83(1)\\ Fe+H_2SO_4\to FeSO_4+H_2\\ 2Al+3H_2SO_4\to Al_2(SO_4)_3+3H_2\\ \Rightarrow x+1,5y=0,025(2)\\ (1)(2)\Rightarrow \begin{cases} x=0,01(mol)\\ y=0,01(mol) \end{cases}\Rightarrow \begin{cases} \%_{Fe}=\dfrac{0,01.56}{0,83}.100\%=67,47\%\\ \%_{Al}=100\%-67,47\%=32,53\% \end{cases}\)
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)
\(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,025.98}{20\%}=12,25\left(g\right)\)