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\(n_{Mg}=a;n_{Fe}=0,5a;n_{Zn}=b\\ a\left(24+28\right)+65b=52a+65b=44,2\\ 1,5a+b=\dfrac{24,64}{22,4}1,1\\ a=0,6;b=0,2\\ \%m_{Mg}=\dfrac{24a}{44,2}=32,58\%\\ \%m_{Fe}=\dfrac{28a}{44,2}=38\%\\ \%m_{Zn}=29,42\%\\ m_{ddacid}=\dfrac{98\left(1,5a+b\right)}{0,08}=1347,5g\\ m_{ddsau}=1389,5g\\ C\%_{MgCl_2}=\dfrac{95a}{1389,5}=4,10\%\\ C\%_{FeCl_2}=\dfrac{127.0,5a}{1389,5}=2,74\%\\ C\%_{ZnCl_2}=\dfrac{136b}{1389,5}=1,96\%\)
\(\left\{{}\begin{matrix}Mg\\Zn\\Fe\end{matrix}\right.+H_2SO_4\rightarrow\left\{{}\begin{matrix}MgSO_4\\ZnSO_4\\FeSO_4\end{matrix}\right.+H_2\uparrow\)
\(m_{SO_4}=86,8-29=57,8\left(g\right)\)
\(\Rightarrow n_{H_2}=n_{H_2SO_4}=n_{SO_4}=0,6\left(mol\right)\)
\(\Rightarrow b=V_{H_2}=0,6.22,4=13,44\left(l\right)\)
\(n_{H_2SO_4}=n_{H_2}=a(mol)\\ BTKL:\\ m_{hh}+m_{H_2SO_4}=m_{muối}+m_{H_2}\\ 29+98.a=86,6+2.a\\ \to a=0,6(mol)\\ V_{H_2}=0,6.22,4=13,44(l)\)
a) Sửa đề: dd H2SO4 9,8%
Ta có: \(n_{H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\) \(\Rightarrow m_{H_2}=0,35\cdot2=0,7\left(g\right)\)
Bảo toàn nguyên tố: \(n_{H_2SO_4}=n_{H_2}=0,35\left(mol\right)\) \(\Rightarrow m_{ddH_2SO_4}=\dfrac{0,35\cdot98}{9,8\%}=350\left(g\right)\)
\(\Rightarrow m_{dd}=m_{KL}+m_{H_2SO_4}-m_{H_2}=361,6\left(g\right)\)
b) Tương tự câu a
