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\(4Al+3O2-->2Al2O3\)
\(2Mg+O2-->2MgO\)
\(n_{O2}=\frac{16,8}{22,4}=0,75\left(mol\right)\)
\(n_{Al}=\frac{13,5}{27}=0,5\left(mol\right)\)
\(n_{O2\left(1\right)}=\frac{3}{4}n_{Al}=0,375\left(mol\right)\)
\(n_{O2\left(2\right)}=0,75-0,375=0,375\left(mol\right)\)
\(n_{Mg}=2n_{O2}=0,75\left(mol\right)\)
\(\Rightarrow m_{Mg}=0,75.24=18\left(g\right)\)
\(\%m_{Mg}=\frac{13,5}{13,5+18}.100\%=42,86\%\)
\(2Mg+O_2\xrightarrow{t^o}2MgO\\ 4Al+3O_2\xrightarrow{t^o}2Al_2O_3\\ \Rightarrow \begin{cases} 24.n_{Mg}+27.n_{Al}=5,1\\ 0,5.n_{Mg}+0,75.n_{Al}=n_{O_2}=\dfrac{2,8}{22,4}=0,125 \end{cases}\\ \Rightarrow \begin{cases} n_{Mg}=0,1(mol)\\ n_{Al_2O_3}=0,1(mol) \end{cases}\\ \Rightarrow \%m_{Mg}=\dfrac{0,1.24}{5,1}.100\%\approx 47,06\%\)
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 ...
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: \(n_{O_2}=\dfrac{3}{4}n_{Al}+\dfrac{1}{2}n_{Mg}\) \(\Rightarrow n_{Mg}=0,15\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{2,7}{2,7+0,15.24}.100\%\approx42,86\%\\\%m_{Mg}\approx57,14\%\end{matrix}\right.\)
`4Al + 3O_2` $\xrightarrow{t^o}$ `2Al_2 O_3`
`0,2` `0,15` `(mol)`
`2Mg + O_2` $\xrightarrow{t^o}$ `2MgO`
`1,5` `0,75` `(mol)`
`n_[Al]=[5,4]/27=0,2(mol)`
`n_[O_2]=[16,8]/[22,4]=0,75(mol)`
`=>m_[hh]=0,2.27+1,5.24=41,4(g)`
`=>%m_[Al]=[5,4]/[41,4].100~~13,04%`
`=>%m_[Mg]~~100-13,04~~86,96%`
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PTHH: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\) (1)
\(2Mg+O_2\underrightarrow{t^o}2MgO\) (2)
Ta có: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{3}{4}n_{Al}=\dfrac{3}{4}\cdot\dfrac{13,5}{27}=0,375\left(mol\right)\\n_{O_2\left(1\right)}+n_{O_2\left(2\right)}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{O_2\left(2\right)}=0,375\left(mol\right)\) \(\Rightarrow n_{Mg}=0,75\left(mol\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{0,75\cdot24}{0,75\cdot24+13,5}\cdot100\%\approx57,14\%\)