`4Al + 3O_2` $\xrightarrow{t^o}$ `2Al_2 O_3`

`0,2`    `0,15`                                `(mol)`

`2Mg + O_2` $\xrightarrow{t^o}$ `2MgO`

`1,5`     `0,75`                               `(mol)`

`n_[Al]=[5,4]/27=0,2(mol)`

`n_[O_2]=[16,8]/[22,4]=0,75(mol)`

 `=>m_[hh]=0,2.27+1,5.24=41,4(g)`

`=>%m_[Al]=[5,4]/[41,4].100~~13,04%`

`=>%m_[Mg]~~100-13,04~~86,96%`

Gọi \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\x_{Ca}=y\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}24x+40y=17,6\\x=2y\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,2\end{matrix}\right.\)

a)\(m_{Mg}=0,4\cdot24=9,6g\)

   \(m_{Ca}=0,2\cdot40=8g\)

b)\(2Mg+O_2\underrightarrow{t^o}2MgO\)

   \(2Ca+O_2\underrightarrow{t^o}2CaO\)

Từ hai pt: \(\Rightarrow\Sigma n_{O_2}=\dfrac{1}{2}n_{Mg}+\dfrac{1}{2}n_{Ca}=\dfrac{1}{2}\cdot0,4+\dfrac{1}{2}\cdot0,2=0,3mol\)

\(\Rightarrow m_{O_2}=0,3\cdot32=9,6g\)

\(V_{O_2}=0,3\cdot22,4=6,72l\)

\(\Rightarrow V_{kk}=5V_{O_2}=5\cdot6,72=33,6l\)

a) 

Có \(\left\{{}\begin{matrix}24.n_{Mg}+40.n_{Ca}=17,6\\n_{Mg}=2.n_{Ca}\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}n_{Ca}=0,2\left(mol\right)\\n_{Mg}=0,4\left(mol\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}m_{Ca}=0,2.40=8\left(g\right)\\m_{Mg}=0,4.24=9,6\left(g\right)\end{matrix}\right.\)

b)

PTHH: 2Ca + O₂ --t^o--> 2CaO 

            0,2-->0,1

             2Mg + O₂ --t^o--> 2MgO

            0,4--->0,2

=> \(V_{O_2}=\left(0,1+0,2\right).22,4=6,72\left(l\right)\)

\(V_{kk}=6,72.5=33,6\left(l\right)\)

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)

\(m_{Al}=27,8.19,2\%=5,4\left(g\right)\\ m_{Fe}=27,8-5,4=22,4\left(g\right)\\ \rightarrow\left\{{}\begin{matrix}n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\\n_{Fe}=\dfrac{22,4}{56}=0,4\left(mol\right)\end{matrix}\right.\)

PTHH:

4Al + 3O₂ --t^o--> 2Al₂O₃

0,2-->0,15------->0,1

3Fe + 2O₂ --t^o--> 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

→⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩Vkk=(0,15+415

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

\(m_{KClO_3}=n\cdot M=0,1\cdot\left(39+35,5+16\cdot3\right)=12,25\left(g\right)\)

4Al+3O₂-to>2Al₂O₃

0,2---0,15------0,1 mol

n Al=0,2 mol

VO₂=0,15.22,4=3,36l

b) 2KClO₃-to>2KCl +3O₂

    0,1---------------------0,15 mol

->m KClO₃=0,1.122,5g

#yT

3Fe + 2O₂ --to> Fe₃O₄                            4Al + 3O₂    -to-> 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 =\(\dfrac{3y.56}{3y.56+27y}100=\) 86,15%

<=> %mAl = 100 - 86,15 = 13,85%

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%