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PTHH: \(2Mg+O_2\underrightarrow{t^o}2MgO\) (1)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\) (2)
Ta có: \(\left\{{}\begin{matrix}\Sigma n_{O_2}=\dfrac{33,6}{22,4}=1,5\left(mol\right)\\n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\Rightarrow n_{O_2\left(2\right)}=0,075\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{O_2\left(1\right)}=1,425\left(mol\right)\) \(\Rightarrow n_{Mg}=2,85\left(mol\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{2,85\cdot24}{2,85\cdot24+2,7}\cdot100\%\approx96,2\%\)
\(\Rightarrow\%m_{Al}=3,8\%\)
\(n_{O_2} =\dfrac{33,6}{22,4} = 1,5(mol)\\ n_{Al} = \dfrac{2,7}{27} = 0,1(mol)\\ 2Mg + O_2 \xrightarrow{t^o} 2MgO\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ n_{O_2} = \dfrac{1}{2}n_{Mg} + \dfrac{3}{4}n_{Al}\\ \Rightarrow n_{Mg} = 2,85(mol)\)
Vậy :
\(\%m_{Mg} = \dfrac{2,85.24}{2,85.24 + 2,7}.100\% = 96,2\%\\ \%m_{Al} = 100\% - 96,2\% = 3,8\%\)
PT: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(2Mg+O_2\underrightarrow{t^o}2MgO\)
Ta có: \(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)
\(n_{O_2}=\dfrac{3,7185}{24,79}=0,15\left(mol\right)\)
Theo PT: \(n_{O_2}=\dfrac{3}{4}n_{Al}+\dfrac{1}{2}n_{Mg}\) \(\Rightarrow n_{Mg}=0,15\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{2,7}{2,7+0,15.24}.100\%\approx42,86\%\\\%m_{Mg}\approx57,14\%\end{matrix}\right.\)
PTHH: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\) (1)
\(2Mg+O_2\underrightarrow{t^o}2MgO\) (2)
Ta có: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{3}{4}n_{Al}=\dfrac{3}{4}\cdot\dfrac{13,5}{27}=0,375\left(mol\right)\\n_{O_2\left(1\right)}+n_{O_2\left(2\right)}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{O_2\left(2\right)}=0,375\left(mol\right)\) \(\Rightarrow n_{Mg}=0,75\left(mol\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{0,75\cdot24}{0,75\cdot24+13,5}\cdot100\%\approx57,14\%\)
Bài 1 :
\(n_{Na}=\dfrac{m}{M}=0,1\left(mol\right)\)
\(4Na+O_2\rightarrow2Na_2O\)
..0,1....0,025....0,05.......
a, \(V_{O_2}=n.22,4=0,56\left(l\right)\)
b, \(m=m_{Na_2o}=n.M=3,1\left(g\right)\)
Bài 2 :
\(n_{Al}=\dfrac{m}{M}=0,1\left(mol\right)\)
\(4Al+3O_2\rightarrow2Al_2O_3\)
..0,1...0,075...
\(\Rightarrow n_{O_2}=0,075\left(mol\right)\)
Mà : \(\Sigma n_{O_2}=\dfrac{V}{22,4}=0,4\left(mol\right)\)
\(\Rightarrow n_{O_2\left(Mg\right)}=0,4-0,075=0,325\left(mol\right)\)
\(2Mg+O_2\rightarrow2MgO\)
.0,65.....0,325........
\(\Rightarrow m_{Mg}=15,6\left(g\right)\)
\(\Rightarrow m_{hh}=2,7+15,6=18,3\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%Al=~14,75\\\%Mg=~85,25\end{matrix}\right.\) %
Bài 3 :
- Gọi số mol Al và Mg lần lượt là x , y
\(4Al+3O_2\rightarrow2Al_2O_3\)
..x....0,75x
\(2Mg+O_2\rightarrow2MgO\)
..y........0,5y...........
Có : \(n_{O_2}=0,75x+0,5y=\dfrac{V}{22,4}=0,1\left(mol\right)\left(I\right)\)
Lại có : \(m_{hh}=m_{Al}+m_{Mg}=27x+24y=3,9\left(II\right)\)
- Giair ( i ) và ( ii ) ta được : \(\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\) ( mol )
\(\Rightarrow\left\{{}\begin{matrix}\%Al=~69,23\\\%Mg=~30,77\end{matrix}\right.\) %
Vậy ...
a) 2Mg + O2 --to--> 2MgO
4Al + 3O2 --to--> 2Al2O3
b) Gọi số mol Mg, Al là a, b
=> 24a + 27b = 7,8
\(n_{O_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH: 2Mg + O2 --to--> 2MgO
______a--->0,5a-------->a
4Al + 3O2 --to--> 2Al2O3
b-->0,75b------->0,5b
=> 0,5a + 0,75b = 0,2
=> a = 0,1 ; b = 0,2
=> mMg = 0,1.24 = 2,4 (g); mAl = 0,2.27 = 5,4 (g)
=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{2,4}{7,8}.100\%=30,769\%\\\%Al=\dfrac{5,4}{7,8}.100\%=69,231\%\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}n_{MgO}=0,1\left(mol\right)\\n_{Al_2O_3}=0,1\left(mol\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}m_{MgO}=0,1.40=4\left(g\right)\\m_{Al_2O_3}=0,1.102=10,2\left(g\right)\end{matrix}\right.\)
=> m = 4 + 10,2 = 14,2 (g)
Gọi số mol Fe là x
số mol Mg là y
Số mol oxi là:
\(n_{O_2}=\dfrac{0,56}{22,4}=0,025\left(mol\right)\)
\(3Fe+2O_2\rightarrow Fe_3O_4\\ x.....\dfrac{2}{3}x\)
\(2Mg+O_2\rightarrow2MgO\\ y.....\dfrac{y}{2}\)
Ta có:
\(\left\{{}\begin{matrix}56x+24y=1,92\\\dfrac{2}{3}x+\dfrac{y}{2}=0,025\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\84\left(\dfrac{2}{3}x+\dfrac{y}{2}\right)=2,1\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}56x+24y=1,92\\56x+42y=2,1\end{matrix}\right.\Leftrightarrow18y=0.18\Leftrightarrow y=0,01\left(mol\right)\)
Khối lượng magie trong hỗn hợp là:
\(m_{Mg}=0,01.24=0,24\left(g\right)\)
\(\%m_{Mg}=\dfrac{0,24}{1,92}.100=12.5\%\Rightarrow\%m_{Fe}=87,5\%\)
PTHH:
2Mg + O2 =(nhiệt)=> 2MgO (1)
4Al + 3O2 =(nhiệt=> 2Al2O3 (2)
Ta có: nAl = \(\frac{2,7}{27}=0,1\left(mol\right)\)
\(\sum n_{O2}=\frac{33,6}{22,4}=1,5\left(mol\right)\)
+) nO2 (2) = \(\frac{0,1\times3}{4}=0,075\left(mol\right)\)
=> nO2(1) = 1,5 - 0,075 = 1,425 (mol)
=> nMg = 1,425 x 2 = 2,85 (mol)
=> mMg = 2,85 x 24 = 68,4 (gam)
=> \(\left\{\begin{matrix}\%m_{Mg}=\frac{68,4}{68,4+2,7}.100\%=96,2\%\\\%m_{Al}=100\%-96,2\%=3,8\%\end{matrix}\right.\)
Thanks