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\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
tl1..........1................1.............1(mol)
br x.......x................x.............x(mol)
\(Cu+H_2SO_4\rightarrow CuSO_4+H_2\)
tl1............1...............1...........1(mol)
Br y...........y...............y...........y(mol)
\(n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
Taco hệ pt
\(\left\{{}\begin{matrix}x+y=0,05\\24x+64y=5\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,045\\y=0,095\end{matrix}\right.\)
\(\Rightarrow\%m_{Mg}=0,045.24:5.100\%=21,6\%\)
\(\Rightarrow\%m_{Cu}=100\%-21,6\%=78,4\%\)
\(a,PTHH:Zn+2HCl\to ZnCl_2+H_2\\ \Rightarrow n_{Zn}=n_{H_2}=\dfrac{3,7185}{24,79}=0.,15(mol)\\ \Rightarrow m_{Zn}=0,15.65=9,75(g)\\ \Rightarrow \%_{Zn}=\dfrac{9,75}{10}.100\%=97,5\%\\ \Rightarrow \%_{Cu}=100\%-97,5\%=2,5\%\\ b,n_{HCl}=2n_{H_2}=0,3(mol)\\ \Rightarrow m_{dd_{HCl}}=\dfrac{0,3.36,5}{14\%}=78,21(g)\)
\(n_{H_2}=\dfrac{2,24}{22,4}=0,1(mol)\\ PTHH:Fe+2HCl\to FeCl_2+H_2\\ \Rightarrow n_{HCl}=2n_{H_2}=0,2(mol)\\ a,C_{M_{HCl}}=\dfrac{0,2}{0,1}=2M\\ b,n_{Fe}=n_{H_2}=0,1(mol)\\ \Rightarrow m_{Fe}=0,1.56=5,6(g)\\ \Rightarrow m_{Cu}=20-5,6=14,4(g)\\ c,\%m_{Fe}=\dfrac{5,6}{20}.100\%=28\%\\ \%m_{Cu}=100\%-28\%=72\%\)
Gọi số mol của Cu, Fe, Al trong 23,8 gam hhX lần lượt là x, y, z mol
→ mX = 64x + 56y + 27z = 23,8 (1)
\(n_{Cl_2}\) = x + 1,5y + 1,5z = 0,65 (2)
0,25 mol X + HCl → 0,2 mol H2 nên 0,2.(x + y + z) = 0,25.(y + 1,5z) (3)
Từ (1), (2), (3) => x = 0,2 mol; y = 0,1 mol; z = 0,2 mol
\(\%_{Cu} = \dfrac{0,2. 64}{23,8} \approx 53,78\%\)
\(\%_{Fe} = \dfrac{0,1 .56}{23,8} \approx 23,53\%\)
%Al ≈ 22,69%
\(n_{Fe} = a(mol) ; n_{Mg} = b(mol)\\ \Rightarrow 56a + 24b = 16,8 - 6,4 = 10,4(1)\\ Fe + 2HCl \to FeCl_2 + H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + b = \dfrac{6,72}{22,4} = 0,3(2)\)
Từ (1)(2) suy ra: a = 0,1 ; b = 0,2
Vậy :
\(\%m_{Fe} = \dfrac{0,1.56}{16,8}.100\% = 33,33\%\\ \%m_{Mg} = \dfrac{0,2.24}{16,8}.100\% = 28,57\%\\ \%m_{Cu} = 100\% - 33,33\% - 28,57\% = 38,1\%\)
\(n_{H_2}=\dfrac{1,12}{22,4}=0,05(mol)\\ Fe+2HCl\to FeCl_2+H_2\\ \Rightarrow n_{Fe}=0,05(mol)\\ \Rightarrow \%_{Fe}=\dfrac{0,05.56}{20}.100\%=14\%\\ \Rightarrow \%_{Cu}=100\%-14\%=86\%\)
Fe + 2HCl -> FeCl2 + H2
0.221 0.221
Cu + HCl -> (không phản ứng)
\(nH2=\dfrac{4.958}{22.4}=0.221mol\)
\(\%mFe=\dfrac{0.221\times56\times100}{17.6}=70.3\%\)
%mCu = 100 - 70.3 = 29.7%
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