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a) $n_{Al} = \dfrac{5,4}{27} = 0,2(mol)$
$4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3$
Theo PTHH : $n_{O_2} = \dfrac{3}{4}n_{Al} = 0,15(mol)$
$V_{O_2} = 0,15.22,4 = 3,36(lít)$
b) $2 KClO_3 \xrightarrow{t^o} 2KCl + 3O_2$
$n_{KClO_3} = \dfrac{2}{3}n_{O_2} = 0,1(mol)$
$m_{KClO_3} = 0,1.122,5 = 12,25(gam)$
\(n_{Al}=\dfrac{m}{M}=\dfrac{5,4}{27}=0,2\left(mol\right)\\ PTHH:4Al+3O_2-^{t^o}>2Al_2O_3\)
tỉ lệ: 4 : 3 : 2
n(mol) 0,2---->0,15---->0,1
\(V_{O_2\left(dktc\right)}=n\cdot22,4=0,15\cdot22,4=3,36\left(l\right)\\ PTHH:2KClO_3-^{t^o}>2KCl+3O_2\)
tỉ lệ: 2 : 2 : 3
n(mol) 0,1<-------------------------0,15
\(m_{KClO_3}=n\cdot M=0,1\cdot\left(39+35,5+16\cdot3\right)=12,25\left(g\right)\)
Gọi số mol Al, Na trong a gam hỗn hợp là x, y (mol)
=> 27x + 23y = a (1)
PTHH: 4Al + 3O2 --to--> 2Al2O3
x---------------->0,5x
4Na + O2 --to--> 2Na2O
y---------------->0,5y
=> 102.0,5x + 62.0,5y = 1,64.a
=> 51x + 31y = 1,64a (2)
(1)(2) => 51x + 31y = 1,64(27x + 23y)
=> 6,72x = 6,72y
=> x = y
\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{27x}{27x+23y}.100\%=54\%\\\%m_{Na}=\dfrac{23y}{27x+23y}.100\%=46\%\end{matrix}\right.\)
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)
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 :
\(\%m_{Mg} = \dfrac{2,85.24}{2,85.24 + 2,7}.100\% = 96,2\%\\ \%m_{Al} = 100\% - 96,2\% = 3,8\%\)
a.\(n_{Al_2O_3}=\dfrac{30,6}{102}=0,3mol\)
\(4Al+3O_2\rightarrow\left(t^o\right)2Al_2O_3\)
0,6 0,45 0,3 ( mol )
\(m_{Al}=0,6.27=16,2g\)
\(V_{O_2}=0,45.22,4=10,08l\)
\(V_{kk}=10,08.5=50,4l\)
b.\(2KClO_3\rightarrow\left(t^o,MnO_2\right)2KCl+3O_2\)
0,3 0,45 ( mol )
\(m_{KClO_3}=0,3.122,5=36,75g\)
c.\(2KClO_3\rightarrow\left(t^o,MnO_2\right)2KCl+3O_2\)
0,3 0,45 ( mol )
\(n_{KClO_3}=\dfrac{0,3}{75\%}=0,4mol\)
\(m_{KClO_3}=0,4.122,5=49g\)
Bạn tách ra từng câu nhé!
Bài 3.
\(n_{Fe}=\dfrac{m_{Fe}}{M_{Fe}}=\dfrac{36}{56}=0,6428mol\)
\(3Fe+2O_2\rightarrow\left(t^o\right)Fe_3O_4\)
0,6428 ----- 0,4285 ( mol )
\(2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\)
0,857 0,4285 ( mol )
\(m_{KMnO_4}=n_{KMnO_4}.M_{KMnO_4}=0,857.158=135,406g\)
Bài 4.
a.\(n_{Al_2O_3}=\dfrac{m_{Al_2O_3}}{M_{Al_2O_3}}=\dfrac{51}{102}=0,5mol\)
\(4Al+3O_2\rightarrow\left(t^o\right)2Al_2O_3\)
1 0,75 0,5 ( mol )
\(m_{Al}=n_{Al}.M_{Al}=1.27=27g\)
\(V_{O_2}=n_{O_2}.22,4=0,75.22,4=16,8l\)
b.\(2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\)
1,5 0,75 ( mol )
\(m_{KMnO_4}=n_{KMnO_4}.M_{KMnO_4}=1,5.158=237g\)
\(2KClO_3\rightarrow\left(t^o\right)2KCl+3O_2\)
0,5 0,75 ( mol )
\(m_{KClO_3}=n_{KClO_3}.M_{KClO_3}=0,5.122,5=61,25g\)
a)
2Mg + O2 --to--> 2MgO
2Zn + O2 --to--> 2ZnO
b)
Gọi số mol Mg, Zn là a, b (mol)
=> 24a + 65b = 23,3 (1)
PTHH: 2Mg + O2 --to--> 2MgO
a-->0,5a------>a
2Zn + O2 --to--> 2ZnO
b-->0,5b------>b
=> 40a + 81b = 36,1 (2)
(1)(2) => a = 0,7 (mol); b = 0,1 (mol)
\(n_{O_2}=0,5a+0,5b=0,4\left(mol\right)\)
=> \(V_{O_2}=0,4.22,4=8,96\left(l\right)\)
c)
mMg = 0,7.24 = 16,8 (g)
mZn = 0,1.65 = 6,5 (g)
3Fe + 2O2 --> Fe3O4 4Al + 3O2 --> 2Al2O3
x ---------------> x/3 y------------------> y/2
Theo đề bài \(\dfrac{\dfrac{x.232}{3}+\dfrac{y.102}{2}}{56x+27y}\) = \(\dfrac{283}{195}\)
Giải pt => x = 3y
=> %mFe = \(\dfrac{mFe}{mFe+mAl}.100\%\)= \(\dfrac{3y.56}{3y.56+27y}.100\%\) = 86,15%
<=> %mAl = 100 - 86,15 = 13,85%
Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\)
\(\Rightarrow\left\{{}\begin{matrix}27x+56y=22,2\\\dfrac{1}{2}x\cdot102+\dfrac{1}{3}y\cdot232=33,4\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,3\end{matrix}\right.\)
a)\(\%m_{Al}=\dfrac{0,2\cdot27}{22,2}\cdot100\%=24,32\%\)
\(\%m_{Fe}=100\%-24,32\%=75,68\%\)
b)Theo hai pt trên:
\(\Rightarrow n_{O_2}=\dfrac{3}{4}n_{Al}+\dfrac{2}{3}n_{Fe}=\dfrac{3}{4}\cdot0,2+\dfrac{2}{3}\cdot0,3=0,35mol\)
\(H=80\%\Rightarrow n_{O_2}=80\%\cdot0,35=0,28mol\)
\(2KClO_3\underrightarrow{t^o}2KCl+3O_2\uparrow\)
\(\dfrac{14}{75}\) 0,28
\(m_{KClO_3}=\dfrac{14}{75}\cdot122,5=22,87g\)
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