Gọi số mol Al, Na trong a gam hỗn hợp là x, y (mol)

=> 27x + 23y = a (1)

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

             x---------------->0,5x

            4Na + O₂ --t^o--> 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, 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!

\(\left\{{}\begin{matrix}n_{Zn}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\Rightarrow65x+27y=2,87\left(1\right)\)

\(2Zn+O_2\underrightarrow{t^o}2ZnO\)

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

\(\Rightarrow81x+\dfrac{1}{2}y\cdot102=3,75\left(2\right)\)

Từ (1) và (2)\(\Rightarrow\left\{{}\begin{matrix}x=0,04\\y=0,01\end{matrix}\right.\)

\(\%m_{ZnO}=\dfrac{0,04\cdot81}{3,75}\cdot100\%=86,4\%\)

Hai oxit kim loại thu được là ZnO (a mol) và Al₂O₃ (b mol).

Ta có hệ phương trình:

\(\left\{{}\begin{matrix}65a+27.2b=2,87\\81a+102b=3,75\end{matrix}\right.\) \(\Rightarrow\) \(\left\{{}\begin{matrix}a=0,04\\b=0,005\end{matrix}\right.\).

Phần trăm khối lượng của kẽm oxit trong hỗn hợp sản phẩm là:

%m_ZnO=\(\dfrac{0,04.81}{3,75}.100\%=86,4\%\).

\(n_{O_2}=\dfrac{5.6}{22.4}=0.25\left(mol\right)\)

\(n_{H_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)

\(n_{Fe}=a\left(mol\right),n_{Al}=b\left(mol\right)\)

\(3Fe+2O_2\underrightarrow{^{^{t^0}}}Fe_3O_4\)

\(a.......\dfrac{2a}{3}\)

\(4Al+3O_2\underrightarrow{^{^{t^0}}}2Al_2O_3\)

\(b.......\dfrac{3b}{4}\)

\(n_{O_2}=\dfrac{2a}{3}+\dfrac{3b}{4}=0.25\left(mol\right)\left(1\right)\)

\(Fe+2HCl\rightarrow FeCl_2+H_2\)

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(n_{H_2}=a+1.5b=0.45\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=0.15,b=0.2\)

\(m_{Fe}=0.15\cdot56=8.4\left(g\right)\)

\(m_{Al}=0.2\cdot27=5.4\left(g\right)\)

\(\%m_{Fe}=\dfrac{8.4}{8.4+5.4}\cdot100\%=60.8\%\)

\(\%m_{Al}=100-60.8=39.2\%\)

\(n_{H_2}=\dfrac{0,953m}{22,4}=0,042545m\left(mol\right)\\ Đặt:n_{Mg}=x\left(mol\right);n_{Al}=y\left(mol\right);n_{Cu}=z\left(mol\right)\left(x,y,z>0\right)\\\Rightarrow \left\{{}\begin{matrix}24x+27y+64z=m\\40x+51y+80z=1,72m\\x+1,5y=0,042545m\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x\approx0,012845m\\y\approx0,0198m\\z\approx0,002455m\end{matrix}\right.\\ \Rightarrow\%m_{Cu}\approx\dfrac{0,002455.64m}{m}.100\%\approx15,712\%\\ \%m_{Al}\approx\dfrac{27.0,0198m}{m}.100\%\approx53,46\%\\ \%m_{Mg}\approx\dfrac{0,012845.24m}{m}.100\%\approx30,828\%\)

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) Gọi số mol Al, Zn là 2a, a (mol)

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

          2a-->1,5a---------->a

             2Zn + O₂ --t^o--> 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) \(n_{O_2}=1,5a+0,5a=0,2\left(mol\right)\)

=> \(V_{O_2}=0,2.22,4=4,48\left(l\right)\)