a, \(\left[Na^+\right]=0,1\)

\(\left[K^+\right]=0,1\)

\(\left[OH^-\right]=0,2\)

\(\left[SO_4^{2-}\right]=0,2\)

\(\left[H^+\right]=0,4\)

b, \(n_{H^+}=0,1.0,4=0,04\left(mol\right)\)

\(n_{OH^-}=0,1.0,2=0,02\left(mol\right)\)

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

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

\(\Rightarrow\left[H^+\right]=\dfrac{0,02}{200}=10^{-4}\)

\(\Rightarrow pH=4\)

$n_{NaOH} = n_{KOH} = 0,1.0,1 = 0,01(mol)$
$n_{H_2SO_4} = 0,02(mol)$

              OH^- + H⁺ → H₂O

       Bđ : 0,01...0,04..................(mol)

      Pư : 0,01...0,01...................(mol)

Sau pư :   0......0,03...................(mol)

$V_{dd} = 0,1 + 0,1 = 0,2(lít)$

Vậy : 

 $[K^+] = [Na^+] = \dfrac{0,01}{0,2} = 0,05M$
$[H^+] = \dfrac{0,03}{0,2} = 0,15M$
$[SO_4^{2-}] = \dfrac{0,02}{0,2} = 0,1M$

b)

$pH = -log(0,15) = 0,824$

a, \(n_{NaOH}=0,15.0,2=0,03\left(mol\right)=n_{Na^+}=n_{OH^-}\)

\(n_{KOH}=0,15.0,2=0,03\left(mol\right)=n_{K^+}=n_{OH^-}\)

⇒ Σn_OH^- = 0,03 + 0,03 = 0,06 (mol)

\(n_{HCl}=0,25.0,4=0,1\left(mol\right)=n_{H^+}=n_{Cl^-}\)

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

0,06____0,06 (mol) ⇒ n_H⁺ dư = 0,1 - 0,06 = 0,04 (mol)

\(\left[Na^+\right]=\left[K^+\right]=\dfrac{0,03}{0,15+0,25}=0,075\left(M\right)\)

\(\left[H^+\right]=\dfrac{0,04}{0,15+0,25}=0,1\left(M\right)\)

\(\left[Cl^-\right]=\dfrac{0,1}{0,15+0,25}=0,25\left(M\right)\)

b, pH = -log[H⁺] = 1

a, \(n_{HCl}=0,1.0,2=0,02\left(mol\right)=n_{H^+}=n_{Cl^-}\)

\(n_{H_2SO_4}=0,1.0,2=0,02\left(mol\right)=n_{SO_4^{2-}}\) \(\Rightarrow n_{H^+}=2n_{H_2SO_4}=0,04\left(mol\right)\)

\(n_{NaOH}=0,3.0,4=0,12\left(mol\right)=n_{Na^+}=n_{OH^-}\)

\(\Rightarrow\sum n_{H^+}=0,02+0,04=0,06\left(mol\right)\)

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

0,06__0,06 (mol)

⇒ n_OH^- dư = 0,12 - 0,06 = 0,06 (mol)

\(\Rightarrow\left\{{}\begin{matrix}\left[Cl^-\right]=\dfrac{0,02}{0,1+0,3}=0,05\left(M\right)\\\left[SO_4^{2-}\right]=\dfrac{0,02}{0,1+0,3}=0,05\left(M\right)\\\left[Na^+\right]=\dfrac{0,12}{0,1+0,3}=0,3\left(M\right)\\\left[OH^-\right]=\dfrac{0,06}{0,1+0,3}=0,15\left(M\right)\end{matrix}\right.\)

b, pH = 14 - (-log[OH^-]) ≃ 13,176

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, \(n_{Ba\left(OH\right)_2}=0,1.0,1=0,01\left(mol\right)=n_{Ba^{2+}}\)

\(\Rightarrow n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,02\left(mol\right)\)

\(n_{NaOH}=0,1.0,1=0,01\left(mol\right)=n_{Na^+}=n_{OH^-}\)

⇒ Σn_OH^- = 0,02 + 0,01 = 0,03 (mol)

\(n_{H_2SO_4}=0,4.0,0175=0,007\left(mol\right)=n_{SO_4^{2-}}\)

\(\Rightarrow n_{H^+}=2n_{H_2SO_4}=0,014\left(mol\right)\)

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

0,014___0,014 (mol) ⇒ n_OH^- dư = 0,03 - 0,014 = 0,016 (mol)

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

0,007____0,007_____0,007 (mol) ⇒ n_Ba²⁺ dư = 0,01 - 0,007 = 0,003 (mol)

⇒ m = 0,007.233 = 1,631 (g)

\(\left[OH^-\right]=\dfrac{0,016}{0,1+0,4}=0,032\left(M\right)\)

\(\left[Ba^{2+}\right]=\dfrac{0,003}{0,1+0,4}=0,006\left(M\right)\)

\(\left[Na^+\right]=\dfrac{0,01}{0,1+0,4}=0,02\left(M\right)\)

b, pH = 14 - (-log[OH^-]) ≃ 12,505

\(n_{Ba^{2+}}=0,1.0,1=0,01\left(mol\right)\)

\(n_{SO_4^{2-}}=0,4.0,0175=7.10 ^{-3}\left(mol\right)\)

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

\(\Rightarrow m=m_{BaSO_4}=7.10^{-3}.233=1,631\left(g\right)\)

Ta có:

\(n_{H^+}=0,4.0,0175.2=0,014\left(mol\right)\)

\(n_{OH^-}=0,1.0,1.2+0,1.0,1=0,03\left(mol\right)\)

Trong dung dịch X:

\(n_{OH^-}=0,03-0,014=0,016\left(mol\right)\)\(\Rightarrow\left[OH^-\right]=\dfrac{0,016}{0,1+0,4}=0,032\left(M\right)\)

\(n_{Ba^{2+}}=0,01-7.10^{-3}=3.10^{-3}\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{3.10^{-3}}{0,1+0,4}=6.10^{-3}\left(M\right)\)

\(n_{Na^+}=0,1.0,1=0,01\left(mol\right)\Rightarrow\left[Na^+\right]=0,02\)

\(pOH=-lg\left(0,032\right)\approx1,5\Rightarrow pH=14-1,5=12,5\)

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

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

\(V=0.1+0.1=0.2\left(l\right)\)

\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[OH^-\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)

\(b.\)

\(pH=14+log\left[OH^-\right]=14+log\left(0.1\right)=13\)

\(c.\)

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

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

\(V_{dd_{H_2SO_4}}=\dfrac{0.02}{1}=0.02\left(l\right)\)

\(a.\)

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

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

\(V=0.1+0.1=0.2\left(l\right)\)

\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)

\(\left[OH^+\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)

\(b.\)

\(pH=14+log\left(0.1\right)=13\)

\(c.\)

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

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

\(V_{H_2SO_4}=\dfrac{0.02}{1}=0.02\left(l\right)\)

a) Ta có: \(n_{NaOH}=0,1\cdot0,1=n_{KOH}=0,01\left(mol\right)\)

\(\Rightarrow\left\{{}\begin{matrix}n_{OH^-}=0,02\left(mol\right)\\n_{Na^+}=n_{K^+}=0,01\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}\left[OH^-\right]=\dfrac{0,02}{0,2}=0,1\left(M\right)\\\left[Na^+\right]=\left[K^+\right]=\dfrac{0,01}{0,2}=0,05\left(M\right)\end{matrix}\right.\)

b) Ta có: \(pH=14+log\left[OH^-\right]=13\)

c) PT ion: \(OH^-+H^+\rightarrow H_2O\)

Theo PT ion: \(n_{H^+}=n_{OH^-}=0,02\left(mol\right)\)

\(\Rightarrow n_{H_2SO_4}=0,01\left(mol\right)\) \(\Rightarrow V_{ddH_2SO_4}=\dfrac{0,01}{1}=0,01\left(l\right)=10\left(ml\right)\)