\(a,Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\\ n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ b,n_{Fe}=n_{H_2}=0,2\left(mol\right)\\ \%m_{Fe}=\dfrac{0,2.56}{12,8}.100\%=87,5\%\\ \%m_{Fe_2O_3}=100\%-87,5\%=12,5\%\\ c,n_{Fe_2O_3}=\dfrac{12,8-11,2}{160}=0,01\left(mol\right)\\ n_{H_2SO_4}=n_{Fe}+3n_{Fe_2O_3}=0,2+3.0,01=0,23\left(mol\right)\\ V_{ddH_2SO_4}=\dfrac{0,23}{0,46}=0,5\left(M\right)\)

\(n_{H_2}=\dfrac{2,24}{22,4}=0,1(mol)\\ Mg+2HCl\to MgCl_2+H_2\\ MgO+2HCl\to MgCl_2+H_2O\\ \Rightarrow n_{Mg}=0,1(mol)\\ \Rightarrow \%_{Mg}=\dfrac{0,1.24}{6,4}.100\%=37,5\%\\ \Rightarrow \%_{MgO}=100\%-37,5\%=62,5\%\)

\(b,n_{MgO}=\dfrac{6,4-0,1.24}{40}=0,1(mol)\\ \Rightarrow n_{HCl}=2.0,1+2.0,1=0,4(mol)\\ \Rightarrow V_{dd_{HCl}}=\dfrac{0,4}{0,5}=0,8(l)\\ c,n_{MgCl_2}=0,1+0,1=0,2(mol)\\ \Rightarrow C_{M_{MgCl_2}}=\dfrac{0,2}{0,8}=0,25M\)

a) PTHH: \(Na_2SO_3+H_2SO_4\rightarrow Na_2SO_4+H_2O+SO_2\uparrow\)

Ta có: \(n_{Na_2SO_3}=\dfrac{12,6}{126}=0,1\left(mol\right)=n_{SO_2}\) \(\Rightarrow V_{SO_2}=0,1\cdot22,4=2,24\left(l\right)\)

b) Ta có: \(\left\{{}\begin{matrix}n_{SO_2}=0,1\left(mol\right)\\n_{Ca\left(OH\right)_2}=1,4\cdot0,1=0,14\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\) Tạo muối trung hòa

PTHH: \(Ca\left(OH\right)_2+SO_2\rightarrow CaSO_3\downarrow+H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{CaSO_3}=0,1\left(mol\right)=n_{Ns_2SO_4}\\n_{Ca\left(OH\right)_2\left(dư\right)}=0,04\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{CaSO_3}=0,1\cdot120=12\left(g\right)\\m_{Na_2SO_4}=0,1\cdot142=14,2\left(g\right)\\m_{Ca\left(OH\right)_2\left(dư\right)}=0,04\cdot74=2,96\left(g\right)\end{matrix}\right.\)

\(n_{Na_2SO_3}=0,1\left(mol\right)\\ PTHH:Na_2SO_3+H_2SO_4\rightarrow Na_2SO_4+H_2O+SO_2\)

(mol)          0,1                              0,1             0,1       0,1

\(a.V_{SO_2}=0,1.22,4=2,24\left(l\right)\)

\(b.n_{Ca\left(OH\right)_2}=0,14\left(mol\right)\)

Do \(\dfrac{n_{OH}}{n_{SO_2}}=\dfrac{0,28}{0,1}=2.8>2\rightarrow\) Tạo muối trung hòa và Ca(OH)₂ dư 0,04(mol)

\(PTHH:Ca\left(OH\right)_2+SO_2\rightarrow CaSO_3+H_2O\)

(mol)           0,1           0,1         0,1            0,1

\(m_{Ca\left(OH\right)_2\left(du\right)}=0,04.74=2,96\left(g\right)\\ m_{CaSO_3}=12\left(g\right)\\ m_{H_2O}=0,1.18=1,8\left(g\right)\)

a) $n_{H_2SO_4} = \dfrac{44,1}{98} = 0,45(mol)$

$2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2$

Theo PTHH : 

$n_{Al} = \dfrac{2}{3}n_{H_2SO_4} = 0,3(mol)$
$m_{Al} = 0,3.27 = 8,1(gam)$

b) $n_{H_2} = n_{H_2SO_4} = 0,45(mol)$
$\Rightarrow V_{H_2} = 0,45.22,4 =1 0,08(lít)$

c)

Cách 1 : $n_{Al_2(SO_4)_3} = \dfrac{1}{3}n_{H_2SO_4} = 0,15(mol)$
$\Rightarrow m_{Al_2(SO_4)_3} = 0,15.342 = 51,3(gam)$

Cách 2 : Bảo toàn khối lượng, $m_{Al_2(SO_4)_3} = 8,1 + 44,1 - 0,45.2 = 51,3(gam)$

a) Fe + 2HCl --> FeCl₂ + H₂

b) \(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)\)

PTHH: Fe + 2HCl --> FeCl₂ + H₂

_____0,1--------------->0,1---->0,1

=> m_FeCl2  = 0,1.127 = 12,7(g)

c) V_H2 = 0,1.22,4 = 2,24(l)

\(n_{Fe}=\dfrac{5,6}{56}=0,1(mol)\\ a,Fe+2HCl\to FeCl_2+H_2\\ \Rightarrow n_{FeCl_2}=n_{H_2}=0,1(mol)\\ a,m_{FeCl_2}=0,1.127=12,7(g)\\ b,V_{H_2}=0,1.22,4=2,24(l)\)

Ta có: \(n_{H_2SO_4}=\dfrac{58,8}{98}=0,6\left(mol\right)\)

\(PTHH:2Al+3H_2SO_4--->Al_2\left(SO_4\right)_3+3H_2\uparrow\)

               0,4 <---  0,6    ----------->      0,2    -->   0,6

\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,4.27=10,8\left(g\right)\\m_{Al_2\left(SO_4\right)_3}=0,2.342=68,4\left(g\right)\\V_{H_2}=0,6.22,4=13,44\left(lít\right)\end{matrix}\right.\)