a.

 \(m_{Ag}=m_{k.tan}=8,7\left(g\right)\\ m_{Zn,Mg}=20-8,7=11,3\left(g\right)\\ \left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\\Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ Mg+H_2SO_4\rightarrow MgSO_4+H_2\\ \rightarrow\left\{{}\begin{matrix}65a+24b=11,3\\a+b=0,3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,2\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\%m_{Ag}=\dfrac{8,7}{20}.100=43,5\%\\\%m_{Mg}=\dfrac{24.0,2}{20}.100=24\%\\\%m_{Zn}=\dfrac{0,1.65}{20}.100=32,5\%\end{matrix}\right.\)

b. 

\(n_{H_2SO_4\left(tổng\right)}=a+b=0,3\left(mol\right)\\ V_{ddH_2SO_4\left(tổng\right)}=\dfrac{0,3}{0,5}=0,6\left(lít\right)=600\left(ml\right)\)

a.Mg + H2SO4 -> MgSO4 + H2

b.\(nH2=\dfrac{4.704}{22.4}=0.21mol\) = nMg

mMg = 0.21\(\times24=5.04g\)

\(\%mMg=\dfrac{5.04\times100}{25}=20.16\%\)

\(\%mAg=100-20.16=79.84\%\)

c.MgSO4 + 2KOH -> K2SO4 + Mg(OH)2

   0.21           0.42

H2SO4 + 2KOH -> K2SO4 + H2O

  0.04        0.08

\(nH2SO4=\dfrac{9.8\times250}{100\times98}=0.25mol\)

Mà nH2SO4 phản ứng = nH2 = 0.21 mol 

\(\Rightarrow nH2SO4dư=0.25-0.21=0.04mol\)

=> nKOH = 0.42 + 0.08 = 0.5mol

\(\Rightarrow CM_{KOH}=\dfrac{0.5}{0.625}=0.8M\)

a) Gọi số mol Al, Zn là a, b (mol)

=> 27a + 65b = 11,9 (1)

\(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)

PTHH: 2Al + 3H₂SO₄ --> Al₂(SO₄)₃ + 3H₂

             a----->1,5a----------------->1,5a

            Zn + H₂SO₄ --> ZnSO₄ + H₂

             b------>b------------------>b

=> 1,5a + b = 0,4 (2)

(1)(2) => a = 0,2 (mol); b = 0,1 (mol)

\(\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{11,9}.100\%=45,378\%\\\%m_{Zn}=\dfrac{0,1.65}{11,9}.100\%=54,622\%\end{matrix}\right.\)

b) n_H2SO4 = 1,5a + b = 0,4 (mol)

=> m_H2SO4 = 0,4.98 = 39,2 (g)

=> \(C\%_{dd.H_2SO_4}=\dfrac{39,2}{150}.100\%=26,133\%\)

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PTHH: \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\)

               a_______a________a______a                  (mol)

           \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)

              b_______\(\dfrac{3}{2}\)b_________\(\dfrac{1}{2}\)b_____\(\dfrac{3}{2}\)b              (mol)

a) Ta lập HPT: \(\left\{{}\begin{matrix}24a+27b=8,25\\a+\dfrac{3}{2}b=\dfrac{2,24}{22,4}=0,1\end{matrix}\right.\)  \(\Leftrightarrow\) Hệ có nghiệm âm   

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