Gọi $n_{Mg} = a(mol) ; n_{Al} = b(mol) \Rightarrow 24a + 27b = 10,35(1)$

$2Mg + O_2  \xrightarrow{t^o} 2MgO$

$4Al + 3O_2  \xrightarrow{t^o} 2Al_2O_3$

$n_{O_2} = \dfrac{1}{2}a + \dfrac{3}{4}b = \dfrac{5,88}{22,4} = 0,2625(2)$

Từ (1)(2) suy ra a = 0,15 ; b = 0,25

$m_{Mg} = 0,15.24 = 3,6(gam)$
$m_{Al} = 0,25.27 = 6,75(gam)$

$2Mg + O_2  \xrightarrow{t^o} 2MgO$
$n_{O_2} = \dfrac{1,344}{22,4} = 0,06(mol)$

$n_{Mg} = 2n_{O_2} = 0,06.2 = 0,12(mol)$
$m_{Mg} = 0,12.24 = 2,88(gam)$
$\Rightarrow m_{Al_2O_3} = 13,08 - 2,88 = 10,2(gam)$

Gọi x, y lần lượt là số mol của Cu và Fe.

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

a. PTHH: 2Cu + O₂ ---t^o---> 2CuO (1)

3Fe + 2O₂ ---t^o---> Fe₃O₄ (2)

Ta có: \(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)

Theo PT₍₁₎: \(n_{Cu}=n_{CuO}=0,2\left(mol\right)\)

Theo PT₍₁₎: \(n_{O_2}=\dfrac{1}{2}.n_{Cu}=\dfrac{1}{2}x\left(mol\right)\)

Theo PT₍₂₎: \(n_{O_2}=\dfrac{2}{3}.n_{Fe}=\dfrac{2}{3}y\left(mol\right)\)

=> \(\dfrac{1}{2}x+\dfrac{2}{3}y=0,3\)

Mà n_Cu = 0,2(mol)

Thay vào, ta được: \(\dfrac{1}{2}.0,2+\dfrac{2}{3}y=0,3\)

=> y = 0,3(mol)

=> \(m_{Cu}=0,2.64=12,8\left(g\right)\)

\(m_{Fe}=0,3.56=16,8\left(g\right)\)

b. \(\%_{Cu}=\dfrac{12,8}{12,8+16,8}.100\%=43,24\%\)

\(\%_{Fe}=100\%-43,24\%=56,76\%\)

Bài 1 :

\(n_{Na}=\dfrac{m}{M}=0,1\left(mol\right)\)

\(4Na+O_2\rightarrow2Na_2O\)

..0,1....0,025....0,05.......

a, \(V_{O_2}=n.22,4=0,56\left(l\right)\)

b, \(m=m_{Na_2o}=n.M=3,1\left(g\right)\)

Bài 2 :

\(n_{Al}=\dfrac{m}{M}=0,1\left(mol\right)\)

\(4Al+3O_2\rightarrow2Al_2O_3\)

..0,1...0,075...

\(\Rightarrow n_{O_2}=0,075\left(mol\right)\)

Mà : \(\Sigma n_{O_2}=\dfrac{V}{22,4}=0,4\left(mol\right)\)

\(\Rightarrow n_{O_2\left(Mg\right)}=0,4-0,075=0,325\left(mol\right)\)

\(2Mg+O_2\rightarrow2MgO\)

.0,65.....0,325........

\(\Rightarrow m_{Mg}=15,6\left(g\right)\)

\(\Rightarrow m_{hh}=2,7+15,6=18,3\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}\%Al=~14,75\\\%Mg=~85,25\end{matrix}\right.\) %

Bài 3 :

- Gọi số mol Al và Mg lần lượt là x , y

\(4Al+3O_2\rightarrow2Al_2O_3\)

..x....0,75x

\(2Mg+O_2\rightarrow2MgO\)

..y........0,5y...........

Có : \(n_{O_2}=0,75x+0,5y=\dfrac{V}{22,4}=0,1\left(mol\right)\left(I\right)\)

Lại có : \(m_{hh}=m_{Al}+m_{Mg}=27x+24y=3,9\left(II\right)\)

- Giair ( i ) và ( ii ) ta được : \(\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\) ( mol )

\(\Rightarrow\left\{{}\begin{matrix}\%Al=~69,23\\\%Mg=~30,77\end{matrix}\right.\) %

Vậy ...

TN1: Gọi (n_Cu, n_Al, n_Fe) = (a,b,c)

=> 64a + 27b + 56c = 14,3 (1)

\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

             b----------------------->1,5b

            Fe + 2HCl --> FeCl₂ + H₂

              c----------------------->c

=> 1,5b + c = 0,3 (2)

TN2: Gọi (n_Cu, n_Al, n_Fe) = (ak,bk,ck)

=> ak + bk + ck = 0,6 (3)

\(n_{O_2}=\dfrac{44,8}{22,4}.20\%=0,4\left(mol\right)\)

PTHH: 2Cu + O₂ --t^o--> 2CuO

            ak--->0,5ak

            4Al + 3O₂ --t^o--> 2Al₂O₃

           bk--->0,75bk

            3Fe + 2O₂ --t^o--> Fe₃O₄

           ck-->\(\dfrac{2}{3}ck\)

=> 0,5ak + 0,75bk + \(\dfrac{2}{3}ck\) = 0,4 (4)

(1)(2)(3) => \(\left\{{}\begin{matrix}a=0,05\left(mol\right)\\b=0,1\left(mol\right)\\c=0,15\left(mol\right)\\k=2\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}\%m_{Cu}=\dfrac{0,05.64}{14,3}.100\%=22,38\%\\\%m_{Al}=\dfrac{0,1.27}{14,3}.100\%=18,88\%\\\%m_{Fe}=\dfrac{0,15.56}{14,3}.100\%=58,74\%\end{matrix}\right.\)

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

Theo đề: \(m_{hh}=36\left(g\right)\)

\(\Rightarrow m_{Mg}+m_{Fe}=36\\ \Rightarrow24x+56y=36\left(1\right)\)

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

Theo đề: \(n_{O_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)

\(\Rightarrow0,5x+\dfrac{2}{3}y=0,6\left(2\right)\)

\(\xrightarrow[\left(2\right)]{\left(1\right)}\left\{{}\begin{matrix}24x+56y=36\\0,5x+\dfrac{2}{3}y=0,6\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,8\\y=0,3\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,8.24=19,2\left(g\right)\\m_{Fe}=0,3.56=16,8\left(g\right)\end{matrix}\right.\\ m_r=m_{MgO}+m_{Fe_3O_4}=0,8.40+\dfrac{1}{3}.0,3.232=55,2\left(g\right)\)

PTHH: 

mS=10−3,6=6,4(g)⇔nS=6,432=0,2(mol)mS=10−3,6=6,4(g)⇔nS=6,432=0,2(mol)

VO2=(0,3+0,2)22,4=11,2(l)VO2=(0,3+0,2)22,4=11,2(l)

mhh=mCO2+mSO2=0,3.44+0,2.64=26(g)

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

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

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

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