1)

a)

$CaO + 2HCl \to CaCl_2 + H_2O$
$CaCO_3 + 2HCl \to CaCl_2 + CO_2 + H_2O$

$n_{CaCO_3} = n_{CO_2} = 0,2(mol)$
$n_{CaCl_2} = 0,3(mol)$

Suy ra: 

$n_{CaO} = 0,3 - 0,2 = 0,1(mol)$
$\%m_{CaO} = \dfrac{0,1.56}{0,1.56 + 0,2.100}.100\% = 21,875\%$

$\%m_{CaCO_3} = 78,125\%$

b) 

$m_{dd} = 0,1.56 + 0,2.100 + 50 - 0,2.44 = 66,8(gam)$
$C\%_{CaCl_2} = \dfrac{33,3}{66,8}.100\% = 49,85\%$

Câu 4 : 

a)

Gọi $n_{Fe} = a(mol) ; n_{MgO} = b(mol)$

Suy ra: $56a + 40b = 19,2(1)$

$Fe + 2HCl \to FeCl_2 + H_2$
$MgO + 2HCl \to MgCl_2 + H_2O$
Theo PTHH : $n_{HCl} = 2a + 2b = 0,4.2 = 0,8(2)$
Từ (1)(2) suy ra a = b = 0,2

$\%m_{Fe} = \dfrac{0,2.56}{19,2}.100\% = 58,33\%$
$\%m_{MgO} = 100\% -58,33\% = 41,67\%$

b)

$n_{FeCl_2} = a = 0,2(mol)$
$n_{MgCl_2} = b = 0,2(mol)$

$m_{muối} = 0,2.127 + 0,2.95 = 44,4(gam)$

Ta có: \(\left\{{}\begin{matrix}n_{CO_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\n_{CaCl_2}=\dfrac{33,3}{111}=0,3\left(mol\right)\end{matrix}\right.\)

PTHH: \(CaCO_3+2HCl\rightarrow CaCl_2+CO_2\uparrow+H_2O\)

                    0,2_____0,4_____0,2____0,2_____0,2  (mol)

            \(CaO+2HCl\rightarrow CaCl_2+H_2O\)

                 0,1_____0,2_____0,1____0,1    (mol)

Ta có: \(\left\{{}\begin{matrix}m_{CaO}=0,1\cdot56=5,6\left(g\right)\\m_{CaCO_3}=0,2\cdot100=20\left(g\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{CaO}=\dfrac{5,6}{5,6+20}\cdot100\%=21,875\%\\\%m_{CaCO_3}=78,125\%\end{matrix}\right.\)

Mặt khác: \(m_{CO_2}=0,2\cdot44=8,8\left(g\right)\)

\(\Rightarrow m_{dd\left(sau.p/ứ\right)}=m_{CaO}+m_{CaCO_3}+m_{ddHCl}-m_{CO_2}=66,8\left(g\right)\)

\(\Rightarrow C\%_{CaCl_2}=\dfrac{33,3}{66,8}\cdot100\%\approx49,85\%\)

nCO2=\(\dfrac{4,48}{22,4}=0,2\) mol

nCaCl₂=\(\dfrac{33,3}{111}=0,3\)

CaCO₂ + 2HCl → CaCl₂ + CO₂ + H₂O

  0,2           ←         0,2    ← 0,2

CaO + 2HCl  → CaCl₂ + H₂O     

 0,1              ←    0,1

a)  % CaO=\(\dfrac{0,1.56}{0,1.56+0,2.100}.100\%=21,875\%\)    

   % CaCO₃ =100% - 21,875%= 78,125%

b) a = mCaO+mCaCO₃ =0,1.56+0,2.100=25,6g

mdd sau pư= a + mddHCl - mCO2

                  = 25,6 + 50 - 0,2.44=66,8g

C%CaCl₂=\(\dfrac{33,3}{66,8}.100\%\simeq49,85\%\)

\(n_{H_2}=\dfrac{2,24}{22,4}=0,1mol\)

\(Ca+2HCl\rightarrow CaCl_2+H_2\)

0,1                                  0,1     ( mol )

\(\rightarrow\left\{{}\begin{matrix}\%m_{Ca}=\dfrac{0,1.40}{10}.100=40\%\\\%m_{MgO}=100\%-40\%=60\%\end{matrix}\right.\)

\(\left\{{}\begin{matrix}C\%_{CaCl_2}=\dfrac{0,1.111}{10+390,2-0,1.2}.100=2,775\%\\C\%_{MgO}=\dfrac{4}{10+390,2-0,1.2}.100=1\%\end{matrix}\right.\)

\(n_{H_2SO_4}=\dfrac{19,6\%.500.1,12}{98}=1,12\left(mol\right)\\n_{CO_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\\ MgO+H_2SO_4 \rightarrow MgSO_4+H_2O\\ CaCO_3+H_2SO_4\rightarrow CaSO_4+CO_2+H_2O\\ TH1:axit.hết\\ n_{CO_2}=n_{CaCO_3}=0,1\left(mol\right)\\ \Rightarrow n_{MgO}=\dfrac{18-0,1.10}{40}=0,2\left(mol\right)\\ n_{H_2SO_4\left(p.ứ\right)}=0,2+0,1=0,3\left(mol\right)< 1,12\left(mol\right)\\ \Rightarrow LoạiTH1\\ TH2:axit.dư\\ \Rightarrow\left\{{}\begin{matrix}40a+100b=18\\b=0,1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\\ \Rightarrow\%m_{MgO}=\dfrac{0,2.40}{18}.100\approx44,444\%\Rightarrow\%m_{CaCO_3}\approx55,556\%\)

\(b,m_{ddB}=m_A+m_{ddH_2SO_4}-m_{CO_2}=18+500.1,12-0,1.44=573,6\left(g\right)\\ n_{H_2SO_4\left(dư\right)}=1,12-0,3=0,82\left(mol\right)\\ C\%_{ddH_2SO_4\left(dư\right)}=\dfrac{0,82.98}{573,6}.100\approx14,01\%\\ C\%_{ddCaCl_2}=\dfrac{0,1.111}{573,6}.100\approx1,935\%\\ C\%_{ddMgCl_2}=\dfrac{0,2.95}{573,6}.100\approx3,312\%\)

- Cho hh pư với HCl

PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(MgO+2HCl\rightarrow MgCl_2+H_2O\)

\(Fe_3O_4+8HCl\rightarrow FeCl_2+2FeCl_3+4H_2O\)

Gọi: \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{MgO}=b\left(mol\right)\\n_{Fe_3O_4}=c\left(mol\right)\end{matrix}\right.\) ⇒ a + b + c = 0,4 (1)

Theo PT: \(n_{HCl}=3n_{Al}+2n_{MgO}+8n_{Fe_3O_4}=3a+2b+8c=1,5\left(2\right)\)

- Cho hh pư với NaOH:

PT: \(2Al+2H_2O+2NaOH\rightarrow2NaAlO_2+3H_2\)

Ta có: \(n_{H_2}=\dfrac{8,4}{22,4}=0,375\left(mol\right)\)

Theo PT: \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,25\left(mol\right)\)

\(\Rightarrow\%m_{Al}=\dfrac{0,25.27}{0,25.27+78}.100\%=\dfrac{900}{113}\%\)

%m_Al không đổi trong hh.

\(\Rightarrow\dfrac{27a}{27a+40b+232c}.100=\dfrac{900}{113}\left(3\right)\)

Từ (1), (2) và (3) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,2\left(mol\right)\\c=0,1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{900}{113}\%\approx7,96\%\\\%m_{MgO}=\dfrac{0,2.40}{0,1.27+0,2.40+0,1.232}.100\%\approx23,6\%\\\%m_{Fe_3O_4}\approx68,44\%\end{matrix}\right.\)