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a) \(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\)
\(n_{O_2}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\)
PTHH:
4Al + 3O2 --to--> 2Al2O3
0,2-->0,15
2Mg + O2 --to--> 2MgO
1,2<--0,6
b) \(m_{Mg}=1,2.24=28,8\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{28,8}{28,8+5,4}.100\%=84,21\%\\\%m_{Al}=100\%-84,21\%=15,79\%\end{matrix}\right.\)
PTHH: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\) (1)
\(2Mg+O_2\underrightarrow{t^o}2MgO\) (2)
Ta có: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{3}{4}n_{Al}=\dfrac{3}{4}\cdot\dfrac{13,5}{27}=0,375\left(mol\right)\\n_{O_2\left(1\right)}+n_{O_2\left(2\right)}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow n_{O_2\left(2\right)}=0,375\left(mol\right)\) \(\Rightarrow n_{Mg}=0,75\left(mol\right)\)
\(\Rightarrow\%m_{Mg}=\dfrac{0,75\cdot24}{0,75\cdot24+13,5}\cdot100\%\approx57,14\%\)
\(2Mg+O_2\xrightarrow{t^o}2MgO\\ 4Al+3O_2\xrightarrow{t^o}2Al_2O_3\\ \Rightarrow \begin{cases} 24.n_{Mg}+27.n_{Al}=5,1\\ 0,5.n_{Mg}+0,75.n_{Al}=n_{O_2}=\dfrac{2,8}{22,4}=0,125 \end{cases}\\ \Rightarrow \begin{cases} n_{Mg}=0,1(mol)\\ n_{Al_2O_3}=0,1(mol) \end{cases}\\ \Rightarrow \%m_{Mg}=\dfrac{0,1.24}{5,1}.100\%\approx 47,06\%\)
Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\x_{Ca}=y\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}24x+40y=17,6\\x=2y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,2\end{matrix}\right.\)
a)\(m_{Mg}=0,4\cdot24=9,6g\)
\(m_{Ca}=0,2\cdot40=8g\)
b)\(2Mg+O_2\underrightarrow{t^o}2MgO\)
\(2Ca+O_2\underrightarrow{t^o}2CaO\)
Từ hai pt: \(\Rightarrow\Sigma n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{1}{2}n_{Ca}=\dfrac{1}{2}\cdot0,4+\dfrac{1}{2}\cdot0,2=0,3mol\)
\(\Rightarrow m_{O_2}=0,3\cdot32=9,6g\)
\(V_{O_2}=0,3\cdot22,4=6,72l\)
\(\Rightarrow V_{kk}=5V_{O_2}=5\cdot6,72=33,6l\)
a)
Có \(\left\{{}\begin{matrix}24.n_{Mg}+40.n_{Ca}=17,6\\n_{Mg}=2.n_{Ca}\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{Ca}=0,2\left(mol\right)\\n_{Mg}=0,4\left(mol\right)\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}m_{Ca}=0,2.40=8\left(g\right)\\m_{Mg}=0,4.24=9,6\left(g\right)\end{matrix}\right.\)
b)
PTHH: 2Ca + O2 --to--> 2CaO
0,2-->0,1
2Mg + O2 --to--> 2MgO
0,4--->0,2
=> \(V_{O_2}=\left(0,1+0,2\right).22,4=6,72\left(l\right)\)
\(V_{kk}=6,72.5=33,6\left(l\right)\)
\(m_{H_2SO_4}=\dfrac{100\cdot9,8\%}{100\%}=9,8g\Rightarrow n_{H_2SO_4}=0,1mol\)
\(n_{H_2}=\dfrac{1,176}{22,4}=0,0525mol\)
Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)\(\Rightarrow24x+27y=1,305\left(1\right)\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\)
\(\Rightarrow x+\dfrac{3}{2}y=n_{H_2SO_4}=0,1\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=-0,0825\\y=0,122\end{matrix}\right.\)
Số âm=???
Theo ĐLBT KL, có: mKL + mO2 = m oxit
⇒ mO2 = 13,1 - 1,5 = 11,6 (g)
`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%`