nS = 3,2/32 = 0,1 (mol)

nO2 = 8,96/22,4 = 0,4 (mol)

PTHH: S + O2 -> (t°) SO2 

Mol: 0,1 ---> 0,1 

nO2 (Al) = 0,4 - 0,1 = 0,3 (mol)

PTHH: 4Al + 3O2 -> (t°) 2Al2O3

Mol: 0,4 <--- 0,3

mAl = 0,4 . 27 = 10,8 (g)

mhh = 10,8 + 3,2 = 14 (g)

nS = 3,2/32 = 0,1 (mol)

nO2 = 8,96/22,4 = 0,4 (mol)

PTHH: S + O₂ -> (t°) SO2 

Mol: 0,1 ---->0,1 

nO (Al) = 0,4 - 0,1 = 0,3 (mol)

PTHH: 4Al + 3O2 -> (t°) 2Al2O3

Mol: 0,4 <--- 0,3

mAl = 0,4 . 27 = 10,8 (g)

mhH = 10,8 + 3,2 = 14 (g)

nS = 3,2/32 = 0,1 (mol)

nO₂ = 8,96/22,4 = 0,4 (mol)

PTHH: S + O₂ -> (t°) SO₂

Mol: 0,1 ---> 0,1 

nO₂ (Al) = 0,4 - 0,1 = 0,3 (mol)

PTHH: 4Al + 3O2 -> (t°) 2Al2O3

Mol: 0,4 <--- 0,3

mAl = 0,4 . 27 = 10,8 (g)

mhh = 10,8 + 3,2 = 14 (g)

Gọi số mol Al, Mg là a, b (mol)

=> 27a + 24b = 12,6 (1)

\(n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 4Al + 3O₂ --t^o--> 2Al₂O₃

              a-->0,75a

            2Mg + O₂ --t^o--> 2MgO

              b-->0,5b

=> 0,75a + 0,5b = 0,3 (2)

(1)(2) => a = 0,2 (mol); b = 0,3 (mol)

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{12,6}.100\%=42,86\%\\\%m_{Mg}=\dfrac{0,3.24}{12,6}.100\%=57,14\%\end{matrix}\right.\)

4Al (x mol) + 3O₂ (0,75x mol) \(\underrightarrow{t^o}\) 2Al₂O₃.

2Mg (y mol) + O₂ (0,5y mol) \(\underrightarrow{t^o}\) 2MgO.

Gọi x (mol) và y (mol) lần lượt là số mol của Al và Mg.

Số mol khí oxi cần dùng là 6,72:22,4=0,3 (mol)

Ta có: 27x+24y=12,6 (1).

Lại có: 0,75x+0,5y=0,3 (2).

Giải hệ phương trình gồm (1) và (2), ta suy ra x=0,2 (mol) và y=0,3 (mol).

%m_Al=0,2.27/12,6\(\approx\)42,86%, %m_Mg=0,3.24/12,6\(\approx\)57,14%.

\(m_{tăng}=m_{O_2}=7.2\left(g\right)\)

\(n_{O_2}=\dfrac{7.2}{32}=0.225\left(mol\right)\)

\(V_{kk}=5V_{O_2}=5\cdot0.225\cdot22.4=25.2\left(l\right)\)

\(Đặt:n_{Mg}a\left(mol\right),n_{Cu}=b\left(mol\right),n_{Al}=c\left(mol\right)\)

\(Mg+\dfrac{1}{2}O_2\underrightarrow{t^0}MgO\)

\(Cu+\dfrac{1}{2}O_2\underrightarrow{t^0}CuO\)

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

\(TC:n_{O_2}=0.5a=0.5b=0.75c=\dfrac{0.225}{3}=0.075\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}a=0.15\\b=0.15\\c=0.1\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0.15\cdot24=3.6\left(g\right)\\m_{Cu}=0.15\cdot64=9.6\left(g\right)\\m_{Al}=0.1\cdot27=2.7\left(g\right)\end{matrix}\right.\)

a: \(C+O_2\rightarrow CO_2\)(ĐK: t độ)

x         x          x

\(S+O_2\rightarrow SO_2\)(ĐK: t độ)

y       y         y

b: \(n_{O_2}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)

Theo đề, ta có hệ:

12x+32y=10 và x+y=0,5

=>x=0,3 và y=0,2

\(m_C=0.3\cdot12=3.6\left(g\right)\)

\(m_S=0.2\cdot32=6.4\left(g\right)\)

c: \(n_{CO_2}=n_C=0.3\left(mol\right)\)

\(n_{SO_2}=n_S=0.2\left(mol\right)\)

\(V_{khí}=22.4\left(0.3+0.2\right)=11.2\left(lít\right)\)

\(n_{O_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)

PTHH :

\(C+O_2\rightarrow\left(t^o\right)CO_2\)

x       x               x 

\(S+O_2\rightarrow\left(t^o\right)SO_2\)

y      y                y

Gọi n C = x 

     n S = y (mol)

Ta có hệ PT :

\(\left\{{}\begin{matrix}12x+32y=10\\x+y=0,5\end{matrix}\right.\)

\(\rightarrow x=0,3;y=0,2\)

\(m_C=0,3.12=3,6\left(g\right)\)

\(m_S=0,2.32=6,4\left(g\right)\)

\(c,V_{hhk}=\left(0,3+0,2\right).22,4=11,2\left(l\right)\)

Tương tự:

https://hoc24.vn/cau-hoi/2-de-dot-chay-het-132-gam-hon-hop-gom-bot-fe-va-mg-can-dung-het-448-lit-khio2-dktc-tao-ra-san-pham-la-fe3o4-va-mgo-theo-phan-ungfe-o2-to-fe.3025810936660

PTHH: \(C+O_2\xrightarrow[]{t^o}CO_2\)

              a___a______a    (mol)

            \(S+O_2\xrightarrow[]{t^o}SO_2\)

             b___b_______b   (mol)

Ta lập HPT: \(\left\{{}\begin{matrix}12a+32b=10\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_C=0,3\cdot12=3,6\left(g\right)\\m_S=6,4\left(g\right)\\V_{khí}=0,5\cdot22,4=11,2\left(l\right)\end{matrix}\right.\)

Đặt \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)

Theo đề: \(m_{hh}=39\left(g\right)\)

\(\Rightarrow m_{Al}+m_{Fe}=39\\ \Rightarrow27x+56y=39\left(1\right)\)

\(PTHH:4Al+3O_2\underrightarrow{t^o}2Al_2O_3\\ \left(mol\right)....x\rightarrow..0.75x....0,5x\\ PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\\ \left(mol\right)....y\rightarrow..\dfrac{2}{3}y.....\dfrac{1}{3}y\)

Theo đề: \(n_{O_2}=\dfrac{V}{22,4}=\dfrac{12,32}{22,4}=0,55\left(mol\right)\)

\(\Rightarrow0,75x+\dfrac{2}{3}y=0,55\left(2\right)\)

\(\xrightarrow[\left(1\right)]{\left(2\right)}\left\{{}\begin{matrix}27x+56y=39\\0,75x+\dfrac{2}{3}y=0,55\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,6\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Fe}=0,6.56=33,6\left(g\right)\end{matrix}\right.\\ m_r=m_{Al_2O_3}+m_{Fe_3O_4}=0,5.0,2.102+\dfrac{1}{3}.0,6.232=56,6\left(g\right)\)

a, \(C+O_2\underrightarrow{t^o}CO_2\)

\(S+O_2\underrightarrow{t^o}SO_2\)

b, Ta có: 12n_C + 32n_S = 2,8 (1)

Theo PT: \(n_{O_2}=n_C+n_S=\dfrac{3,36}{22,4}=0,15\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_C=0,1\left(mol\right)\\n_S=0,05\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_C=\dfrac{0,1.12}{2,8}.100\%\approx42,86\%\\\%m_S\approx57,14\%\end{matrix}\right.\)