Chọn C.

Trong một dung dịch luôn có: tổng số mol của ion dương = tổng số mol của ion âm. Trong cùng một dung dịch, cùng thể tích, ta có: 1.0,1 + 2.0,05 = 0,06 + 2a →  a = 0,07M

a, \(\left[Ba^{2+}\right]=C_{M\left(Ba\left(OH\right)_2\right)}=0,2M\)

\(\left[OH^-\right]=2C_{M\left(Ba\left(OH\right)_2\right)}=0,4M\)

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

\(n_{NaOH}=0,1.0,2=0,02\left(mol\right)\\ n_{HCl}=0,3.0,1=0,03\left(mol\right)\\ NaOH+HCl\rightarrow NaCl+H_2O\\ Vì:\dfrac{0,02}{1}< \dfrac{0,03}{1}\Rightarrow HCldư\\ n_{HCl\left(dư\right)}=0,03-0,02=0,01\left(mol\right)\\ \left[H^+\right]=\left[HCl_{dư}\right]=\dfrac{0,01}{0,1+0,1}=0,05\left(M\right)\\ \Rightarrow D\)

a)
$BaCl_2 + Na_2SO_4 \to BaSO_4 + 2NaCl$

$n_{BaCl_2} = 0,01 = n_{Na_2SO_4} = 0,01 \Rightarrow $ Vừa đủ

$n_{BaSO_4} = n_{Na_2SO_4} = 0,01(mol)$
$m_{BaSO_4} = 0,01.233 = 0,233(gam)$
b)

$n_{NaCl} = 2n_{Na_2SO_4} = 0,02(mol)$
$V_{dd} = 0,1 + 0,2 = 0,3(lít)$
$C_{M_{NaCl}} = \dfrac{0,02}{0,3} = 0,067M$

c)

$[Na^+] = [Cl^-] = C_{M_{NaCl}} = 0,067M$

\(n_{BaCl_2}=0.1\cdot0.1=0.01\left(mol\right)\)

\(n_{Na_2SO_4}=0.2\cdot0.05=0.01\left(mol\right)\)

\(BaCl_2+Na_2SO_4\rightarrow BaSO_4+2NaCl\)

\(0.01..........0.01............0.01..............0.02\)

\(m_{BaSO_4}=0.01\cdot233=2.33\left(g\right)\)

\(C_{M_{NaCl}}=\dfrac{0.01}{0.1+0.2}=0.03\left(M\right)\)

\(\left[Na^+\right]=\left[Cl^-\right]=0.03\left(M\right)\)

a)\(BaCl_2\rightarrow Ba^{2+}+2Cl^-\)

    0,05        0,05        0,1

    \(\left[Ba^{2+}\right]=0,05M\)

    \(\left[Cl^-\right]=0,1M\)

b)\(HCl\rightarrow H^++Cl^-\)

    0,1        0,1     0,1

    \(\left[H^+\right]=0,1M\)

     \(\left[Cl^-\right]=0,1M\)