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\(m_{Al}=27,8.19,2\%=5,4\left(g\right)\\ m_{Fe}=27,8-5,4=22,4\left(g\right)\\ \rightarrow\left\{{}\begin{matrix}n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\\n_{Fe}=\dfrac{22,4}{56}=0,4\left(mol\right)\end{matrix}\right.\)
PTHH:
4Al + 3O2 --to--> 2Al2O3
0,2-->0,15------->0,1
3Fe + 2O2 --to--> Fe3O4
0,4-->4/15--------->2/15
\(\rightarrow\left\{{}\begin{matrix}V_{kk}=\left(0,15+\dfrac{4}{15}\right).22,4.5=\dfrac{140}{3}\left(l\right)\\m_{Cran}=0,1.102+\dfrac{2}{15}.232=\dfrac{617}{15}\left(g\right)\end{matrix}\right.\)
mAl=27,8.19,42%=5,4g
⇒nAl=\(\dfrac{5,4}{27}\)=0,2mol
⇒nFe=\(\dfrac{27,8-5,4}{56}\)=0,4mol
4Al+3O2to→2Al2O34
3Fe+2O2to→Fe3O4
⇒nO2=\(\dfrac{3}{4}\)nAl+\(\dfrac{2}{3}\)nFe=\(\dfrac{5}{12}\)mol
⇒Vkk=\(\dfrac{5}{12}\).22,4.5=46,67l
b,
mrắn=27,8+mO2=27,8+\(\dfrac{5}{12}\)32=41,1g
Gọi $n_{Al}= a(mol) ; n_{Fe} = b(mol) \Rightarrow 27a + 56b = 4,44(1)$
$4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3$
$3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4$
$Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O$
B gồm : $Al_2O_3, Fe$
$n_{Al_2O_3} = \dfrac{1}{2}n_{Al} = 0,5a(mol)$
Suy ra: $0,5a.102 + 56b = 5,4(2)$
Từ (1)(2) suy ra a = 0,04 ; b = 0,06
$m_{Al} = 0,04.27 =1,08\ gam$
$m_{Fe} = 0,06.56 = 3,36\ gam$
\(a,n_{Al}=\dfrac{19,2\%.27,8}{27}=\dfrac{1112}{5625}\left(mol\right)\\ n_{Fe}=\dfrac{\left(100\%-19,2\%\right).27,8}{56}=\dfrac{14039}{35000}\left(mol\right)\\ 4Al+3O_2\rightarrow\left(t^o\right)2Al_2O_3\\ 3Fe+2O_2\rightarrow\left(t^o\right)Fe_3O_4\\ n_{O_2\left(tổng\right)}=\dfrac{1112}{5625}.0,75+\dfrac{2}{3}.\dfrac{14039}{35000}\approx0,4156762\left(mol\right)\\ V_{kk\left(đktc\right)}\approx0,4156762.5.22,4\approx46,5557344\left(l\right)\\ b,n_{Al_2O_3}=\dfrac{\dfrac{1112}{5625}}{2}=\dfrac{556}{5625}\left(mol\right)\\ n_{Fe_3O_4}=\dfrac{\dfrac{14039}{35000}}{3}=\dfrac{14039}{105000}\left(mol\right)\\ m_{rắn}=\dfrac{14039}{105000}.232+\dfrac{556}{5625}.102=41,1016381\left(g\right)\)
a) Gọi số mol Al, Zn là 2a, a (mol)
PTHH: 4Al + 3O2 --to--> 2Al2O3
2a-->1,5a---------->a
2Zn + O2 --to--> 2ZnO
a---->0,5a------->a
=> \(102a+81a=18,3\)
=> a = 0,1 (mol)
=> \(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{0,2.27+0,1.65}.100\%=45,378\%\\\%m_{Zn}=\dfrac{0,1.65}{0,2.27+0,1.65}.100\%=54,622\%\end{matrix}\right.\)
b) \(n_{O_2}=1,5a+0,5a=0,2\left(mol\right)\)
=> \(V_{O_2}=0,2.22,4=4,48\left(l\right)\)
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
\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{27x}{27x+23y}.100\%=54\%\\\%m_{Na}=\dfrac{23y}{27x+23y}.100\%=46\%\end{matrix}\right.\)
Cái này sai đề rồi em, anh lập hệ pt mà bấm ra số mol âm
đúng anh à
em ra đc \(n_{Mg}=1,85\left(mol\right);n_{Al}=-\dfrac{16}{15}\left(mol\right)\)
a, PT: \(2Cu+O_2\underrightarrow{t^o}2CuO\)
\(3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(CuO+H_2\underrightarrow{t^o}Cu+H_2O\)
\(Fe_3O_4+4H_2\underrightarrow{t^o}3Fe+4H_2O\)
Gọi: \(\left\{{}\begin{matrix}n_{Cu}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\\n_{Al}=z\left(mol\right)\end{matrix}\right.\) ⇒ 64x + 56y + 27z = 40,4 (1)
Theo PT: \(\left\{{}\begin{matrix}n_{CuO}=n_{Cu}=x\left(mol\right)\\n_{Fe_3O_4}=\dfrac{1}{3}n_{Fe}=\dfrac{1}{3}y\left(mol\right)\\n_{Al_2O_3}=\dfrac{1}{2}n_{Al}=\dfrac{1}{2}z\left(mol\right)\end{matrix}\right.\)
⇒ 80x + 232.1/3x + 102.1/2z = 59,6 (2)
- Chất rắn A gồm: Cu, Fe và Al3O3.
⇒ 64x + 56y + 102.1/2z = 50 (3)
Từ (1), (2) và (3) \(\Rightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,3\left(mol\right)\\z=0,4\left(mol\right)\end{matrix}\right.\)
⇒ mCu = 0,2.64 = 12,8 (g)
mFe = 0,3.56 = 16,8 (g)
mAl = 0,4.27 = 10,8 (g)
b, Theo PT: \(n_{H_2}=n_{Cu}+\dfrac{4}{3}n_{Fe}=0,6\left(mol\right)\)
\(\Rightarrow V_{H_2}=0,6.22,4=13,44\left(l\right)\)
\(n_{Al} = a ; n_{Fe} = b\Rightarrow 27a + 56b = 27,6(1)\\ 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4\\ n_{Al_2O_3} = \dfrac{1}{2}n_{Al} = 0,5a(mol)\\ n_{Fe_3O_4} = \dfrac{1}{3}n_{Fe} = \dfrac{b}{3}(mol)\\ \Rightarrow 0,5a.102 + \dfrac{b}{3}232 = 43,6(2)\\ (1)(2) \Rightarrow a = 0,4 ; b = 0,3\\ m_{Al} = 0,4.27 = 10,8(gam) ; m_{Fe} = 0,3.56 = 16,8(gam)\)
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