\(n_{Zn}=\dfrac{13}{65}=0,2\left(mol\right)\)

PTHH: Zn + H₂SO₄ ---> ZnSO₄ + H₂

         0,2--->0,2--------->0,2------>0,2

\(V_{H_2}=0,2.22,4=4,48\left(l\right)\\ m_{H_2SO_4}=\dfrac{0,2.98}{20\%}=98\left(g\right)\\ \rightarrow V_{ddH_2SO_4}=\dfrac{98}{1,14}=86\left(ml\right)=0,086\left(l\right)\\ \rightarrow C_{M\left(H_2SO_4\right)}=\dfrac{0,2}{0,086}=2,33M\)

\(a,PTHH:KHCO_3+2H_2SO_4\rightarrow K_2SO_4+2CO_2\uparrow+2H_2O\\ b,n_{KHCO_3}=\dfrac{20}{100}=0,2\left(mol\right)\\ \Rightarrow n_{CO_2}=2n_{KHCO_3}=0,4\left(mol\right)\\ \Rightarrow V_{CO_2}=0,4\cdot22,4=8,9\left(l\right)\\ c,n_{H_2SO_4}=n_{CO_2}=0,4\left(mol\right)\\ \Rightarrow m_{H_2SO_4}=0,4\cdot98=39,2\left(g\right)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{39,2\cdot100\%}{19,6\%}=200\left(g\right)\)

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

Fe có số mol là \(n_{Fe}=\frac{m}{M}=\frac{11,2}{56}=0,2mol\)

\(H_2SO_4\) có số mol là \(n_{H_2SO_4}=\frac{0,2.1}{1}=0,2mol\)

Có \(V=200ml=0,2l\)

\(\rightarrow C_M=\frac{n_{H_2SO_4}}{V_{H_2SO_4}}=\frac{0,2}{0,2}=1M\)

FeSO\(_4\) có số mol là \(n_{FeSO_4}=\frac{0,2.1}{1}=0,2mol\)

Thể tích của \(FeSO_4\) là \(V_{FeSO_4}=V_{H_2SO_4}\rightarrow C_M=\frac{n}{V}=\frac{0,2}{0,2}=1M\)

Ta có: \(n_{Fe_2O_3}=\dfrac{9,6}{160}=0,06\left(mol\right)\)

a. PTHH: Fe₂O₃ + 3H₂SO₄ ---> Fe₂(SO₄)₃ + 3H₂O (1)

Theo PT₍₁₎: \(n_{H_2SO_4}=3.n_{Fe_2O_3}=3.0,06=0,18\left(mol\right)\)

=> \(m_{H_2SO_4}=0,18.98=17,64\left(g\right)\)

Ta có: \(C_{\%_{H_2SO_4}}=\dfrac{17,64}{m_{dd_{H_2SO_4}}}.100\%=9,8\%\)

=> \(m_{dd_{H_2SO_4}}=180\left(g\right)\)

b. Ta có: \(m_{dd_{Fe_2\left(SO_4\right)_3}}=9,6+180=189,6\left(g\right)\)

Theo PT₍₁₎: \(n_{Fe_2\left(SO_4\right)_3}=n_{Fe_2O_3}=0,06\left(mol\right)\)

=> \(m_{Fe_2\left(SO_4\right)_3}=0,06.400=24\left(g\right)\)

=> \(C_{\%_{Fe_2\left(SO_4\right)_3}}=\dfrac{24}{189,6}.100\%=12,66\%\)

c. PTHH: Fe₂(SO₄)₃ + 3BaCl₂ ---> 3BaSO₄↓ + 2FeCl₃ (2)

Theo PT₍₂₎: \(n_{BaSO_4}=3.n_{Fe_2\left(SO_4\right)_3}=3.0,06=0,18\left(mol\right)\)

=> \(m_{BaSO_4}=0,18.233=41,94\left(g\right)\)

Theo PT₍₂₎: \(n_{BaCl_2}=n_{BaSO_4}=0,18\left(mol\right)\)

=> \(m_{BaCl_2}=0,18.208=37,44\left(g\right)\)

Ta có: \(C_{\%_{BaCl_2}}=\dfrac{37,44}{m_{dd_{BaCl_2}}}.100\%=10,4\%\)

=> \(m_{dd_{BaCl_2}}=360\left(g\right)\)

FeO+H2SO4------->FeSO4+ H2

nFeO=7,2/72=0,1 (mol)

---->nH2SO4=0,1 mol

----->mH2SO4=0,1.98=9,8(g)

---->mdung dich H2SO4=(9,8.100)/49=20(g)

--->Vdung dịch H2SO4=20/1,35=14,8(l)

2NaOH+H2SO4------>Na2SO4+2H2O

nNaOH=2.0,1=0,2(mol)

---->Vnaoh=0,2/1=0,2l

1)

\(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)

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

____0,1----->0,15

=> m_H2SO4 = 0,15.98 = 14,7(g)

=> \(C\%=\dfrac{14,7}{250}.100\%=5,88\%\)

2)

\(n_{Na_2CO_3}=\dfrac{21,2}{106}=0,2\left(mol\right)\)

PTHH: Na₂CO₃ + 2HCl --> 2NaCl + CO₂ + H₂O

_______0,2------------------------------>0,2

=> V_CO2 = 0,2.22,4 = 4,48(l)

3)

\(n_A=\dfrac{18,4}{M_A}\left(mol\right)\)

PTHH: 2A + Cl₂ --t^o--> 2ACl

____\(\dfrac{18,4}{M_A}\)---------->\(\dfrac{18,4}{M_A}\)

=> \(\dfrac{18,4}{M_A}\left(M_A+35,5\right)=46,8=>M_A=23\left(Na\right)\)

4)

n_HCl = 0,2.3 = 0,6(mol)

PTHH: M + 2HCl --> MCl₂ + H₂

____0,3<-----0,6

=> \(M_M=\dfrac{7,2}{0,3}=24\left(Mg\right)\)

\(n_{Al}=\dfrac{2,7}{27}=0,1\left(mol\right)\)

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

_____0,1----->0,15

=> m_H2SO4 = 0,15.98 = 14,7(g)

=> \(C\%=\dfrac{14,7}{250}.100\%=5,88\%\)

\(n_{Mg}=\dfrac{10,8}{24}=0,45\left(mol\right)\\ pthh:Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\) 
           0,45     0,45                          0,45 
\(m_{H_2SO_4}=0,45.98=44,1\left(g\right)\\ C\%_{H_2SO_4}=\dfrac{44,1}{176,4}.100\%=25\%\\ V_{H_2}=0,45.22,4=10,08\left(l\right)\)

Cu(OH)₂ + H₂SO₄ \(\rightarrow\) CuSO₄ + 2H₂O

nCu(OH)₂ = \(\dfrac{29,4}{98}=0,3mol\)

Theo pt: nH₂SO₄ = nCu(OH)₂ = 0,3 mol

=> mH₂SO₄ = 0,3.98 = 29,4g

VH₂SO₄ = 0,3:1 = 0,3l