Gọi $n_{Al} = a(mol) ; n_{Mg} = b(mol) ; n_{Cu} = c(mol) \Rightarrow 27a + 24b + 64c = 10,7(1)$
$4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3$
$2Mg + O_2 \xrightarrow{t^o} 2MgO$
$2Cu + O_2 \xrightarrow{t^o} 2CuO$
Theo PTHH : $n_{Al_2O_3} = 0,5a(mol) ; n_{MgO} = b(mol) ; n_{CuO} = c(mol)$
$\Rightarrow 0,5a.102 + 40b + 80c = 17,4(2)$
Mặt khác : $n_{Cl_2} = \dfrac{13,44}{22,4} = 0,6(mol)$
$2Al+ 3Cl_2 \xrightarrow{t^o} 2AlCl_3$
$Mg + Cl_2 \xrightarrow{t^o} MgCl_2$
$Cu + Cl_2 \xrightarrow{t^o} CuCl_2$
Theo PTHH : $n_{Cl_2} = 1,5n_{Al} + n_{Mg} + n_{Cu}$
Ta có : $\dfrac{1,5a + b + c}{a + b + c} = \dfrac{0,6}{0,525}(3)$
Từ (1)(2)(3) suy ra: $a = \dfrac{67}{640} ; b = \dfrac{5681}{25600} ; c =\dfrac{1019}{25600}$
$\%m_{Al} = \dfrac{ \dfrac{67}{640}.27}{10,7}.100\% = 26,4\%$
$\%m_{Mg} = \dfrac{ \dfrac{5681}{25600}.24}{10,7}.100\% = 49,77\%$
$\%m_{Cu} = 100\% - 26,4\% - 49,77\% = 23,83\%$