\(Ba\left(OH\right)_2\left(0,002\right)+2HCl\left(0,004\right)\rightarrow BaCl_2\left(0,002\right)+2H_2O\)

\(n_{Ba\left(OH\right)_2}=0,04.0,05=0,002\)

\(n_{HCl}=0,15.0,06=0,009\)

Ta có: \(\frac{0,002}{1}< \frac{0,009}{2}\) nên Ba(OH)₂ phản ứng hết còn HCl dư

\(\Rightarrow C_M=\frac{0,004}{0,2}=0,02M\)

\(n_{Ba\left(OH\right)_2}=0,05.0,04=0,002mol\\ n_{HCl}=0,15.0,06=0,009mol\\ Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\\ \Rightarrow\dfrac{0,002}{1}< \dfrac{0,009}{2}\Rightarrow HCl.dư\\ Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)

0,002             0,004         0,002     

\(C_{M_{BaCl_2}}=\dfrac{0,002}{0,05+0,15}=0,01M\\ C_{M_{HCl.dư}}=\dfrac{0,009-0,004}{0,05+0,15}=0,025M\)

Ba(OH)₂ + 2HCl → BaCl₂ + 2H₂O

\(n_{Ba\left(OH\right)_2}=0,05\times0,5=0,025\left(mol\right)\)

\(n_{HCl}=0,15\times0,1=0,015\left(mol\right)\)

Theo PT: \(n_{Ba\left(OH\right)_2}=\dfrac{1}{2}n_{HCl}\)

Theo bài: \(n_{Ba\left(OH\right)_2}=\dfrac{5}{3}n_{HCl}\)

Vì \(\dfrac{5}{3}>\dfrac{1}{2}\) ⇒ \(Ba\left(OH\right)_2\) dư

Dung dịch A gồm: Ba(OH)₂ dư và BaCl₂

Theo PT: \(n_{Ba\left(OH\right)_2}pư=\dfrac{1}{2}n_{HCl}=\dfrac{1}{2}\times0,015=0,0075\left(mol\right)\)

\(\Rightarrow n_{Ba\left(OH\right)_2}dư=0,025-0,0075=0,0175\left(mol\right)\)

\(\Rightarrow C_{M_{Ba\left(OH\right)_2}}dư=\dfrac{0,0175}{0,2}=0,0875\left(M\right)\)

Theo PT: \(n_{BaCl_2}=\dfrac{1}{2}n_{HCl}=\dfrac{1}{2}\times0,015=0,0075\left(mol\right)\)

\(\Rightarrow C_{M_{BaCl_2}}=\dfrac{0,0075}{0,2}=0,0375\left(M\right)\)

a) ko bik ....

b) 13,5

c)2

d)2,4

Bài 1.

\(n_{H^+}=n_{HCl}=0,94V\) mol; \(n_{OH^-}=n_{NaOH}=0,04\) mol

Dung dịch thu được có pH = 2 < 7 => H⁺ còn, OH^- hết.

\(\Rightarrow\left[H^+\right]=10^{-2}=0,01\) mol/lít

\(\Rightarrow n_{H^+}\text{còn}=0,01.\left(V+0,2\right)\) mol

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

0,04<--0,04

\(\Rightarrow n_{H^+}\text{còn}=0,94V-0,04=0,01\left(V+0,2\right)\)

\(\Rightarrow V=0,045\text{ lít}=45ml\)

Bài 2.

a) Dung dịch A có pH = 13 => pOH = 14-13 = 1 => [OH^-] = 0,1 mol/lít

\(\left[Ba\left(OH\right)_2\right]=\dfrac{1}{2}\left[OH^-\right]=0,05\) mol/lít

Dung dịch B có pH = 1 => [H⁺] = 0,1 mol/lít

\(\left[HCl\right]=\left[H^+\right]=0,1\) mol/lít

b) \(n_{H^+}=n_{HCl}=2,75.0,1=0,275\) mol

\(n_{OH^-}=2n_{Ba\left(OH\right)_2}=2.0,1.2,25=0,45\) mol

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

0,275->0,275

\(\Rightarrow n_{OH^-}\text{còn}=0,45-0,275=0,175\) mol

Thể tích dung dịch thu được: V = 2,25+2,75 = 5 lít

\(\Rightarrow\left[OH^-\right]=\dfrac{0,175}{5}=0,035\) mol/lít

\(\Rightarrow pOH=-lg\left[OH^-\right]=1,46\) \(\Rightarrow pH=14-1,46=12,54\)