Gọi \(\left\{{}\begin{matrix}C_{M\left(A\right)}=aM\\C_{M\left(B\right)}=bM\end{matrix}\right.\)

Giả sử trộn 50ml dd A với 50ml dd B để thu được 100ml dd C

=> \(\left\{{}\begin{matrix}n_{NaOH}=0,05a\left(mol\right)\\n_{Ba\left(OH\right)_2}=0,05b\left(mol\right)\end{matrix}\right.\)

\(n_{BaSO_4}=\dfrac{9,32}{233}=0,04\left(mol\right)\)

n_H2SO4 = 0,035.2 = 0,07 (mol)

PTHH: Ba(OH)₂ + H₂SO₄ --> BaSO₄ + 2H₂O

              0,04<----0,04<-------0,04

            2NaOH + H₂SO₄ --> Na₂SO₄ + 2H₂O

              0,06<----0,03

=> \(\left\{{}\begin{matrix}0,05a=0,06\\0,05b=0,04\end{matrix}\right.\)

=> a = 1,2; b = 0,8 

20 ml dd A chứa n_NaOH = 0,02.1,2 = 0,024 (mol)

\(n_{Al_2O_3}=\dfrac{20,4}{102}=0,2\left(mol\right)\)

PTHH: 2NaOH + Al₂O₃ --> 2NaAlO₂ + H₂O

             0,024-->0,012

            Ba(OH)₂ + Al₂O₃ --> Ba(AlO₂)₂ + H₂O

             0,188<---0,188

=> \(V_{dd.B}=\dfrac{0,188}{0,8}=0,235\left(l\right)=235\left(ml\right)\)

\(n_{HCl}=Cm.V=1.0,1=1mol\)

\(n_{H_2SO_4}=Cm.V=0,5.0,1=0,05mol\)

Thể thích của dd D là 200ml = 0,2l

\([H^+]=\frac{n_{HCl}+2.n_{H_2SO_4}}{V}=\frac{0,1+0,1}{0,2}=1M\)

\([Cl^-]=\frac{n_{HCl}}{V}=\frac{0,1}{0,2}=0,5M\)

\([SO_4^{2-}]=\frac{n_{H_2SO_4}}{V}=\frac{0,05}{0,2}=0,25M\)

Khi cho dd D vào \(Ba\left(OH\right)_2\) chỉ có \(H_2SO_4\) tác dụng, tạo kết tủa

\(H_2SO_4+Ba\left(OH\right)_2\rightarrow BaSO_4+2H_2O\)

\(0,05....\rightarrow0,05mol\)

\(\rightarrow m_{BaSO_4}=n.M=0,05.233=11,65g\)

\(C_{M\left(H_2SO_4\right)}=a;C_{M\left(NaOH\right)}=b\\ H_2SO_4+2NaOH->Na_2SO_4+2H_2O\\ 0,015a\cdot2-0,036b=0\\ Ba\left(OH\right)_2+H_2SO_4->BaSO_4+2H_2O\\ 0,04a=\dfrac{0,056b}{2}+\dfrac{0,466}{233}=0,028b+0,002\\ a=0,12M;b=0,1M\)

Đáp án A

2NaOH + H₂SO₄ → Na₂SO₄ + 2H₂O

0,05 →     0,025 ( mol)

n_CO2 =0,25 mol

H₂SO₄ + 2NaHCO₃ → Na₂SO₄ + 2H₂O + 2CO₂

0,125  ←                                                   0,25 (mol)

⇒ nH₂SO_{4 ban đầu} = 0,025 + 0,125 =0,15mol

⇒ C_{M H2SO4 ban đầu} = 1,5

Đáp án A.

a, \(n_{HCl}=0,2.0,1=0,02\left(mol\right)=n_{H^+}=n_{Cl^-}\)

\(n_{H_2SO_4}=0,2.0,15=0,03\left(mol\right)=n_{SO_4^{2-}}\) \(\Rightarrow n_{H^+}=2n_{H_2SO_4}=0,06\left(mol\right)\)

\(\Rightarrow\Sigma n_{H^+}=0,02+0,06=0,08\left(mol\right)\)

\(n_{Ba\left(OH\right)_2}=0,3.0,05=0,015\left(mol\right)=n_{Ba^{2+}}\) 

\(\Rightarrow n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,03\left(mol\right)\)

\(H^++OH^-\rightarrow H_2O\)

0,03___0,03 (mol) ⇒ n_H⁺ dư = 0,05 (mol)

\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\)

0,015___0,015______0,015 (mol) ⇒ n_SO4^2- dư = 0,015 (mol)

⇒ m = m_BaSO4 = 0,015.233 = 3,495 (g)

\(\left[Cl^-\right]=\dfrac{0,02}{0,2+0,3}=0,04\left(M\right)\)

\(\left[H^+\right]=\dfrac{0,05}{0,2+0,3}=0,1\left(M\right)\)

\(\left[SO_4^{2-}\right]=\dfrac{0,015}{0,2+0,3}=0,03\left(M\right)\)

b, pH = -log[H⁺] = 1

\(a,n_{HCl}=\dfrac{7,3}{36,5}=0,2\left(mol\right)\\ C_{M\left(HCl\right)}=\dfrac{0,2}{0,4}=0,5M\\ b,n_{H_2SO_4}=\dfrac{73,5}{98}=0,75\left(mol\right)\\ C_{M\left(H_2SO_4\right)}=\dfrac{0,75}{0,5}=1,5M\\ n_{NaOH}=\dfrac{16}{40}=0,4\left(mol\right)\\ C_{M\left(NaOH\right)}=\dfrac{0,4}{0,25}=1,6M\\ n_{Ba\left(OH\right)_2}=\dfrac{34,2}{171}=0,2\left(mol\right)\\ C_{M\left(Ba\left(OH\right)_2\right)}=\dfrac{0,2}{0,8}=0,25M\)