\(n_{Fe_2O_3}=\dfrac{3,2}{160}=0,02(mol)\\ PTHH:Fe_2O_3+3H_2SO_4\to Fe_2(SO_4)_3+3H_2\\ \Rightarrow n_{H_2SO_4}=3n_{Fe_2O_3}=0,06(mol)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{0,06.98}{19,6\%}=30(g)\)

\(n_{Fe_2O_3}=\dfrac{48}{160}=0,3(mol)\\ PTHH:Fe_2O_3+3H_2SO_4\to Fe_2(SO_4)_3+3H_2O\\ \Rightarrow n_{H_2SO_4}=3n_{Fe_2O_3}=0,9(mol)\\ \Rightarrow m_{dd_{H_2SO_4}}=\dfrac{0,9.98}{19,6\%}=450(g)\)

Bài 13 : 

\(a)n_{Fe_2O_3} = \dfrac{9,6}{160} = 0,06(mol)\\ Fe_2O_3 + 6HCl \to 2FeCl_3 + 3H_2O\\ n_{HCl} = 6n_{Fe_2O_3} = 0,36(mol)\\ C\%_{HCl} = \dfrac{0,36.36,5}{150}.100\% = 8,76\%\\ \Rightarrow X = 8,76 b) n_{FeCl_3} = 2n_{Fe_2O_3} = 0,12(mol)\\ m_{FeCl_3} = 0,12.162,5 =19,5(gam)\)

Bài 11 : 

\(a) n_{NaOH} = 0,2.1,5 = 0,3(mol)\\ 2NaOH + H_2SO_4 \to Na_2SO_4 + 2H_2O\\ n_{H_2SO_4} = \dfrac{1}{2}n_{NaOH} = 0,15(mol)\\ \Rightarrow x = \dfrac{0,15}{0,12}= 1,25(M)\\ b) n_{Na_2SO_4} = n_{H_2SO_4} = 0,15(mol)\\ m_{Na_2SO_4} = 0,15.142 = 21,3(gam)\)

Bài 12 : 

\(a)n_{Al} = \dfrac{16,2}{27} = 0,6(mol)\\ 2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2\\ n_{H_2SO_4} = n_{H_2} = \dfrac{3}{2}n_{Al} = 0,9(mol)\\ \Rightarrow X = \dfrac{0,9}{0,2} =4,5(M)\\ b) V_{H_2} = 0,9.22,4 = 20,16(lít)\)

\(n_{Fe_2O_3}=0,2(mol)\\ Fe_2O_3+6HCl \to 2FeCl_3+3H_2O\\ n_{HCl}=1,2(mol)\\ V_{ddHCl}=\frac{250}{1,25}=200(ml)=0,2(l)\\ CM_{HCl}=\frac{1,2}{0,2}=6M$\)

Ta có: \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)

a. PTHH: \(Mg+2HCl--->MgCl_2+H_2\)

Theo PT: \(n_{Mg}=n_{H_2}=0,2\left(mol\right)\)

=> \(m_{Mg}=0,2.24=4,8\left(g\right)\)

Theo PT: \(n_{HCl}=2.n_{Mg}=2.0,2=0,4\left(mol\right)\)

=> \(m_{HCl}=0,4.36.5=14,6\left(g\right)\)

=> \(C_{\%_{HCl}}=\dfrac{14,6}{200}.100\%=7,3\%\)

b. Ta có: \(m_{dd_{MgCl_2}}=4,8+200=204,8\left(g\right)\)

Theo PT: \(n_{MgCl_2}=n_{Mg}=0,2\left(mol\right)\)

=> \(m_{MgCl_2}=0,2.95=19\left(g\right)\)

=> \(C_{\%_{MgCl_2}}=\dfrac{19}{204,8}.100\%=9,28\%\)

Bài 14 : 

\(a) n_{CuO} = \dfrac{8}{80} = 0,1(mol)\\ CuO + 2HCl \to CuCl_2 + H_2O\\ n_{HCl} = 2n_{CuO} = 0,2(mol)\\ m_{dd\ HCl} = \dfrac{0,2.36,5}{7,3\%} = 100(gam)\\ b) \text{Chất tan : } CuCl_2\\ n_{CuCl_2} = n_{CuO} = 0,1(mol)\\ m_{CuCl_2} = 0,1.135 = 13,5(gam)\)

Bài 15 : 

\(a) n_{Fe_2O_3} =\dfrac{4,8}{160} = 0,03(mol)\\ Fe_2O_3 + 3H_2SO_4 \to Fe_2(SO_4)_3 + 3H_2O\\ n_{H_2SO_4} = 3n_{Fe_2O_3} = 0,09(mol)\\ m_{dd\ H_2SO_4} = \dfrac{0,09.98}{9,8\%} = 90(gam)\\ b) \text{Chất tan : } Fe_2(SO_4)_3\\ n_{Fe_2(SO_4)_3} = n_{Fe_2O_3} = 0,03(mol)\\ m_{Fe_2(SO_4)_3} = 0,03.400 = 12(gam)\)

Bài 16 :

\(a) Fe + 2HCl \to FeCl_2 + H_2\\ n_{H_2} = n_{Fe} = \dfrac{11,2}{56} = 0,2(mol)\\ V_{H_2} = 0,2.22,4 = 4,48(lít)\\ b) n_{HCl} = 2n_{Fe} = 0,4(mol)\\ C\%_{HCl} = \dfrac{0,4.36,5}{200}.100\% = 7,3\%\)

Đổi 200ml = 0,2 lít

Ta có: \(C_{M_{H_2SO_4}}=\dfrac{n_{H_2SO_4}}{0,2}=1,5M\)

=> \(n_{H_2SO_4}=0,3\left(mol\right)\)

a. PTHH: Al₂O₃ + 3H₂SO₄ ---> Al₂(SO₄)₃ + 3H₂O

Theo PT: \(n_{Al_2O_3}=\dfrac{1}{3}.n_{H_2SO_4}=\dfrac{1}{3}.0,3=0,1\left(mol\right)\)

=> \(a=m_{Al_2O_3}=0,1.102=10,2\left(g\right)\)

b. Theo PT: \(n_{Al_2\left(SO_4\right)_3}=n_{Al}=0,1\left(mol\right)\)

=> \(m_{Al_2\left(SO_4\right)_3}=0,1.342=34,2\left(g\right)\)

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

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

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

=> m_H2SO4 = 0,15.98 = 14,7(g)

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