a, Giả sử: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)

⇒ 27x + 56y = 13,8 (1)

BTNT Al và Fe, có: \(\left\{{}\begin{matrix}n_{Al_2O_3}=\dfrac{1}{2}n_{Al}=\dfrac{1}{2}x\left(mol\right)\\n_{Fe_3O_4}=\dfrac{1}{3}n_{Fe}=\dfrac{1}{3}y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\dfrac{1}{2}x.102+\dfrac{1}{3}y.232=21,8\left(g\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,15\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{13,8}.100\%\approx39,1\%\\\%m_{Fe}\approx60,9\%\end{matrix}\right.\)

b, BTNT O, có: \(n_{O_2}=\dfrac{3n_{Al_2O_3}+4n_{Fe_3O_4}}{2}=0,6\left(mol\right)\)

\(\Rightarrow V_{O_2}=0,6.22,4=13,44\left(l\right)\)

Bạn tham khảo nhé!

a) 2Mg + O₂ --t^o--> 2MgO

4Al + 3O₂ --t^o--> 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 --t^o--> 2MgO

______a--->0,5a-------->a

4Al + 3O₂ --t^o--> 2Al₂O₃

b-->0,75b------->0,5b

=> 0,5a + 0,75b = 0,2

=> a = 0,1 ; b = 0,2

=> m_Mg = 0,1.24 = 2,4 (g); m_Al = 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)

\(Đặt:\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\\Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24x+27y=10,2\\x+1,5y=0,5\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,2\end{matrix}\right.\\ \Rightarrow\%m_{Mg}=\dfrac{0,2.24}{10,2}.100=47,06\%\\ \%m_{Al}=52,94\%\\ n_{HCl}=2n_{Mg}+3n_{Al}=0,2.2+0,3.2=1\left(mol\right)\\ \Rightarrow V_{HCl}=\dfrac{1}{2}=0,5\left(l\right)\)

a)

$4P + 5O_2 \xrightarrow{t^o} 2P_2O_5$
$S + O_2 \xrightarrow{t^o} SO_2$

b) Gọi $n_P = a(mol) ; n_S = b(mol) \Rightarrow 31a + 32b = 15,6(1)$

Theo PTHH : 

$n_{O_2} = \dfrac{5}{4}n_P + n_S = \dfrac{5a}{4} + b = \dfrac{13,44}{22,4} = 0,6(2)$

Từ (1)(2) suy ra : a = 0,4 ; b = 0,1

$m_P = 0,4.31 = 12,4(gam)$
$m_S = 0,1.32 = 3,2(gam)$

c) $n_{P_2O_5} = \dfrac{1}{2}n_P = 0,2(mol) \Rightarrow m_{P_2O_5} = 0,2.142 = 28,4(gam)$
$n_{SO_2} = n_S = 0,1(mol) \Rightarrow V_{SO_2} = 0,1.22,4 = 2,24(lít)$

PTHH: \(2Mg+O_2\underrightarrow{t^o}2MgO\)  (1)

            \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)  (2)

a) Gọi số mol của Mg là a (mol) \(\Rightarrow n_{Al}=\dfrac{2}{3}a\left(mol\right)\)

\(\Rightarrow24a+27\cdot\dfrac{2}{3}a=6,3\) \(\Rightarrow a=0,15\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}n_{MgO}=0,15\left(mol\right)\\n_{Al_2O_3}=0,05\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{MgO}=0,15\cdot40=6\left(g\right)\\m_{Al_2O_3}=0,05\cdot102=5,1\left(g\right)\end{matrix}\right.\)

b) Theo các PTHH: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=0,075\left(mol\right)\\n_{O_2\left(2\right)}=0,075\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\Sigma n_{O_2}=0,15\left(mol\right)\) \(\Rightarrow V_{O_2}=0,15\cdot22,4=3,36\left(l\right)\)

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%

\(a)\\ 4Al+ 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ 3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4\\ \)

b) Bảo toàn khối lượng :

\(m_{O_2} = 21,8 -13,8 =8(gam)\\ n_{O_2} = \dfrac{8}{32} = 0,25(mol)\\ V_{O_2} = 0,25.22,4 = 5,6(lít)\)

c)

\(n_{Al} = a(mol) ; n_{Fe} = b(mol)\Rightarrow 27a + 56b = 13,8(1)\\ n_{O_2} = 0,75a + \dfrac{2}{3}b = 0,25(2)\\ (1)(2)\Rightarrow a = 0,2 ; b = 0,15\\ \%m_{Al} = \dfrac{0,2.27}{13,8}.100\% =39,13\%\\ \%m_{Fe} = 100\% -39,13\% = 60,87\%\)