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

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

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

Đáp án C

 nZn = nH₂ = 0,15 => nCu = 0,1 mol

=> %Cu = 0,1 . 64 /( 0,1 . 64 + 0,15 . 65) = 39,63%

Trong \(20,4g\) hỗn hợp có: \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\\n_{Al}=c\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow65a+56b+27c=20,4\left(1\right)\)

\(n_{H_2}=\dfrac{10,08}{22,4}=0,45mol\)

\(BTe:2n_{Zn}+2n_{Fe}+3n_{Al}=2n_{H_2}\)

\(\Rightarrow2a+2b+3c=2\cdot0,45\left(2\right)\)

Trong \(0,2mol\) hhX có \(\left\{{}\begin{matrix}Zn:ka\left(mol\right)\\Fe:kb\left(mol\right)\\Al:kc\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow ka+kb+kc=0,2\)

\(n_{Cl_2}=\dfrac{6,16}{22,4}=0,275mol\)

\(BTe:2n_{Zn}+3n_{Fe}+3n_{Al}=2n_{Cl_2}\)

\(\Rightarrow2ka+3kb+3kc=2\cdot0,275\)

Xét thương:

 \(\dfrac{ka+kb+kc}{2ka+3kb+3kc}=\dfrac{0,2}{2\cdot0,275}\Rightarrow\dfrac{a+b+c}{2a+3b+3c}=\dfrac{4}{11}\)

\(\Rightarrow3a-b-c=0\left(3\right)\)

Từ (1), (2), (3)\(\Rightarrow\left\{{}\begin{matrix}a=0,1mol\\b=0,2mol\\c=0,1mol\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{Zn}=6,5g\\m_{Fe}=11,2g\\m_{Al}=2,7g\end{matrix}\right.\)

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

\(m_X=64a+56b+27b=35.7\left(g\right)\left(1\right)\)

\(n_{Cl_2}=\dfrac{21.84}{22.4}=0.975\left(mol\right)\)

\(Cu+Cl_2\underrightarrow{^{^{t^0}}}CuCl_2\)

\(Fe+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}FeCl_3\)

\(Al+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}AlCl_3\)

\(n_{Cl_2}=a+1.5b+1.5c=0.975\left(mol\right)\left(2\right)\)

\(n_{hh}=ka+kb+kc=0.25\left(mol\right)\)

\(n_{H_2}=kb+k\cdot1.5c=0.2\left(mol\right)\)

\(\Leftrightarrow a-0.25b-0.875c=0\left(3\right)\)

\(\left(1\right),\left(2\right),\left(3\right):a=0.3,b=0.15,c=0.3\)

\(\%Cu=\dfrac{0.3\cdot64}{35.7}\cdot100\%=53.78\%\)

\(\%Fe=\dfrac{0.15\cdot56}{35.7}\cdot100\%=23.52\%\)

\(\text{%Al=22.7%}\)

Chọn đáp án C

Chọn C