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

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

Đáp án B

Trong 100 ml thì : 

\(n_{H^+}=0.1\cdot\left(0.015\cdot2+0.03+0.04\right)=0.01\left(mol\right)\)

Trong 200 ml : 

\(n_{H^+}=0.01\cdot2=0.02\left(mol\right)\)

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

\(0.02.......0.02\)

\(V_{dd_{NaOH}}=\dfrac{0.02}{0.2}=0.1\left(l\right)\)

\(n_{OH^-}=0.1\cdot\left(0.015\cdot2+0.03+0.04\right)=0.01\left(mol\right)\)

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

\(0.01.......0.01\)

\(V_{dd_{HCl}}=\dfrac{0.01}{0.2}=0.05\left(l\right)\)

Có:nH2SO4 =0,02(mol) ; nHCl=0,04(mol)

=>nH(+)=0,08(mol)

Có: nBa(OH)2 =0,045 (mol); nNaOH=0,03(mol)

=>nOH(-)=0,12(mol)

H(+) +OH(-) ------>H2O

0,008-----0,008

=>nOH(-) dư=0,04(mol)

[OH(-) dư]=0,04/0,5=0,08(M)

=>pH= -log(0,08) =1,1

Đáp án B

n_{H+ ban đầu} = 0,1.2.0,1 + 0,2.0,1 + 0,3.0,1 = 0,07

dung dịch C có pH=1 ⇒ n_H+/C  = 0,1.(0,3 + V)

⇒ n_{H+ ban đầu} = n_H+/C + n_OH- ⇒ 0,07 = 0,1.(0,3 + V) + 0,2V +0,1.2V

⇒ V =0,08l

a, \(n_{OH^-}=10^{-1}.V_A\left(mol\right)\)

\(n_{H^+}=10^{-2}.V_B\left(mol\right)\)

\(n_{OH^-dư}=10^{-2}.\left(V_A+V_B\right)\left(mol\right)\)

Ta có: \(n_{OH^-}-n_{OH^-dư}=n_{H^+}\)

\(\Leftrightarrow10^{-1}.V_A-10^{-2}.\left(V_A+V_B\right)=10^{-2}.V_B\)

\(\Leftrightarrow0,09V_A=0,02V_B\)

\(\Rightarrow\dfrac{V_A}{V_B}=\dfrac{2}{9}\)

b, Ta có: \(\left\{{}\begin{matrix}V_A+V_B=0,55\\\dfrac{V_A}{V_B}=\dfrac{2}{9}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}V_A=0,1\left(l\right)\\V_B=0,45\left(l\right)\end{matrix}\right.\)

\(n_{BaCl_2}=\dfrac{1}{2}n_{Cl^-}=\dfrac{1}{2}n_{H^+}=\dfrac{1}{2}.10^{-2}.0,1=0,0005\left(mol\right)\Rightarrow m_{BaCl_2}=0,104\left(g\right)\)

\(n_{Ba\left(OH\right)_2}=\dfrac{1}{2}n_{OH^-dư}=\dfrac{1}{2}.10^{-2}.0,55=0,00275\left(mol\right)\Rightarrow m_{Ba\left(OH\right)_2}=0,047025\left(g\right)\)

\(\Rightarrow\%m_{Ba\left(OH\right)_2}=\dfrac{0,047025}{0,047025+0,104}.100\%=31,14\%\)

\(\Rightarrow\%m_{BaCl_2}=62,86\%\)

Chọn A.

200ml = 0,2l

\(n_{Ba\left(OH\right)2}=0,5.0,2=0,1\left(mol\right)\)

Pt : \(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O|\)

              1              2             1            2

             0,1           0,2          0,1

a) \(n_{HCl}=\dfrac{0,1.2}{1}=0,2\left(mol\right)\)

\(V_{ddHCl}=\dfrac{0,2}{1}=0,2\left(l\right)=200\left(ml\right)\)

b) \(n_{BaCl2}=\dfrac{0,2.1}{2}=0,1\left(mol\right)\)

⇒ \(m_{BaCl2}=0,1.208=20,8\left(g\right)\)

c) \(V_{ddspu}=0,2+0,2=0,4\left(l\right)\)

\(C_{M_{BaCl2}}=\dfrac{0,1}{0,4}=0,25\left(M\right)\)

 Chúc bạn học tốt

PTHH: \(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)

Ta có: \(n_{Ba\left(OH\right)_2}=0,2\cdot0,5=0,1\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}n_{HCl}=0,2\left(mol\right)\\n_{BaCl_2}=0,1\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}V_{ddHCl}=\dfrac{0,2}{1}=0,2\left(l\right)=200\left(ml\right)\\m_{BaCl_2}=0,1\cdot208=20,8\left(g\right)\\C_{M_{BaCl_2}}=\dfrac{0,1}{0,2+0,2}=0,25\left(M\right)\end{matrix}\right.\)

\(n_{H^{^{ }+}}=0,2x\left(mol\right);n_{OH^-}=0,3.0,05.2=0,03mol\\ pH=1\Rightarrow H^+:dư\left(0,2x-0,03\left(mol\right)\right)\\ pH=-log\left[H^+\right]\Rightarrow1=-log\left(0,2x-0,03\right)\\ x=0,65\)