\(n_{H^+}=n_{HCl}=0,03mol\)

\(n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,07mol\)

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

bđ     0,03              0,07

pư     0,03              0,03                 0,03

kt         0                 0,04                 0,03

\(\Rightarrow\)\(\left[OH^-\right]=\dfrac{n_{sau}}{V}=\dfrac{0,04}{1}=0,04M\)

\(nH^+\)= nHCl=0,0002(mol)

\(nOH^-\)=2.0,02.0,03=0,0012(mol)

\(H^+\) + \(OH^-\)\(\rightarrow\)H2O

0,0002(mol) \(\rightarrow\) 0,0002(mol)

=> n\(OH^-\)dư = 0,001(mol)

=> CM OH- =\(\dfrac{0,001}{0,5}\)=\(2.10^{-3}\)(CM)

=> CM H+=\(5.10^{-12}\)

=> ph= -lg(\(5.10^{-12}\))=11,3

\(n_{OH^-}=0,5.0,2+0,2.2.0,3=0,22\left(mol\right)\Rightarrow\left[OH^-\right]=\dfrac{0,22}{0,5}=0,44M\)

\(n_{Na^+}=0,5.0,2=0,1\left(mol\right)\Rightarrow\left[Na^+\right]=\dfrac{0,1}{0,5}=0,2M\)

\(n_{Ba^{2+}}=0,2.0,3=0,06\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{0,06}{0,5}=0,12M\)

\(n_{H^+}=0.3\cdot0.1\cdot2+0.3\cdot0.15=0.105\left(mol\right)\)

\(n_{OH^-}=0.001V\cdot0.3+0.001V\cdot2\cdot0.1=0.0032V\left(mol\right)\)

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

\(0.105.......0.105\)

\(n_{OH^-\left(dư\right)}=0.0032V-0.105\left(mol\right)\)

\(\left[OH^-\right]=\dfrac{0.0032V-0.105}{0.3+0.001V}\left(M\right)\)

\(pH=14+log\left[OH^-\right]=12\)

\(\Leftrightarrow log\left[OH^-\right]=-2\)

\(\Leftrightarrow log\left[\dfrac{0.0032V-0.105}{0.3+0.001V}\right]=-2\)

\(\Leftrightarrow V=33.85\left(ml\right)\)

nH⁺=0,3.0,1.2+0,3.0,15=0,105 mol

nOH^- ban đầu =0,3V + 0,1.2V=0,5V mol

Sau phản ứng thu được dung dịch có pH=12

⇒OH^- dư ⇒ pOH=2

⇒ [OH^- ] dư = 0,01 M

nOH^- dư = 0,01(0,3+V)=0,003+0,01V (mol)

nOH^- phản ứng=nOH^- ban đầu - nOH^- dư

     = 0,5V - 0,003 - 0,01V

     = 0,49V - 0,003 (mol )       

      H⁺   +   OH^- → H₂O

  0,105 → 0,105

nOH^- phản ứng = nH⁺

⇒0,49V - 0,003 =0,105

⇒ V≃0,22 lít=200ml

a, \(\left\{{}\begin{matrix}n_{Ba^{2+}}=4.10^{-3}\left(mol\right)\\n_{Na^+}=3.10^{-3}\left(mol\right)\\n_{OH^-}=0,011\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\left[Ba^{2+}\right]=\dfrac{4.10^{-3}}{0,2+0,3}=0,008M\\\left[Na^+\right]=\dfrac{3.10^{-3}}{0,2+0,3}=0,006M\\\left[OH^-\right]=\dfrac{0,011}{0,2+0,3}=0,022M\end{matrix}\right.\)

b, Để trung hòa dung dịch A thì:

\(n_{H^+}=n_{OH^-}\)

\(\Leftrightarrow0,01.V_{ddHCl}=\left(0,02.2+0,01\right).0,2\)

\(\Leftrightarrow V_{ddHCl}=1\left(l\right)\)

cần lời giải chi tiết ạ

Dd Y có HCl. → Ba(OH)₂ pư hết, HCl dư.

Ta có: \(n_{Ba\left(OH\right)_2}=0,3.0,05=0,015\left(mol\right)\)

\(n_{HCl\left(dư\right)}=0,01.\left(0,3+0,5\right)=0,008\left(mol\right)\)

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

______0,015___0,03_____0,015 (mol)

⇒ n_HCl = 0,03 + 0,008 = 0,038 (mol)
\(\Rightarrow b=C_{M_{HCl}}=\dfrac{0,038}{0,5}=0,076\left(M\right)\)

- Khi cô cạn dd thì HCl bay hơi hết, chất rắn khan là BaCl₂,

m _{cr khan} = m_BaCl2 = 0,015.208 = 3,12 (g)

Câu 1:

PT ion: \(H^++OH^-\rightarrow H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{OH^-}=0,6\cdot0,4+0,6\cdot0,3\cdot2=0,6\left(mol\right)\\n_{H^+}=0,2\cdot2,6=0,52\left(mol\right)\end{matrix}\right.\) 

\(\Rightarrow\) H⁺ hết, OH^- còn dư \(\Rightarrow n_{OH^-\left(dư\right)}=0,08\left(mol\right)\)

\(\Rightarrow\left[OH^-\right]=\dfrac{0,08}{0,6+0,2}=0,1\left(M\right)\) \(\Rightarrow pH=14+log\left(0,1\right)=13\)

Bài 2:

PT ion: \(H^++OH^-\rightarrow H_2O\)

Ta có: \(\left\{{}\begin{matrix}n_{OH^-}=0,3\cdot1,6=0,48\left(mol\right)\\n_{H^+}=0,2\cdot1\cdot2+0,2\cdot2=0,8\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\) OH^- hết, H⁺ còn dư \(\Rightarrow n_{H^+\left(dư\right)}=0,32\left(mol\right)\)

\(\Rightarrow\left[H^+\right]=\dfrac{0,32}{0,2+0,3}=0,64\left(M\right)\) \(\Rightarrow pH=-log\left(0,64\right)\approx0,19\)

Câu 15 : 

$n_{HCl} = 0,2.0,1 = 0,02(mol)$

$n_{H_2SO_4} = 0,2.0,05 = 0,01(mol)$

$\Rightarrow n_{H^+} = 0,02 + 0,01.2 = 0,04(mol)$
$n_{OH^-\ dư} = 0,5.(10^-14 : 10^-13) = 0,05(mol)$

$H^+ + OH^- \to H_2O$

$n_{OH^-} = 0,04 + 0,05 = 0,09(mol)$

$n_{Ba(OH)_2} = \dfrac{1}{2}n_{OH^-} = 0,045(mol)$
$a = 0,045 : 0,3 = 0,15(M)$

$Ba^{2+} + SO_4^{2-} \to BaSO_4$

$n_{Ba^{2+}} = 0,045 > n_{SO_4^{2-}} = 0,01$ nên $Ba^{2+}$ dư

n BaSO4 = n SO4 = 0,01(mol)

=> m = 0,01.233 = 2,33(gam)

Đáp án A