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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 \(\Rightarrow n_{H^+\left(dư\right)}=0,32\left(mol\right)\)
\(\Rightarrow\left[H^+\right]=\dfrac{0,32}{0,2+0,3}=0,64\left(M\right)\) \(\Rightarrow pH=-log\left(0,64\right)\approx0,19\)
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:
\(n_{H^+}=n_{OH^-}\)
\(\Leftrightarrow0,01.V_{ddHCl}=\left(0,02.2+0,01\right).0,2\)
\(\Leftrightarrow V_{ddHCl}=1\left(l\right)\)
a, \(n_{H^+}=0,025.0,2=0,005\left(mol\right)\)
\(n_{OH^-}=0,01.2.0,3=0,006\left(mol\right)\)
\(\Rightarrow n_{OH^-dư}=0,001\left(mol\right)\)
\(\Rightarrow\left[OH^-\right]_{dư}=\dfrac{0,001}{1}=10^{-3}\)
\(\Rightarrow\left[H^+\right]=10^{-11}\)
\(\Rightarrow pH=11\)
b, \(n_{Fe^{2+}}=n_{SO_4^{2-}}=0,02.0,1=0,002\left(mol\right)\)
\(n_{Ba^{2+}}=0,01.0,3=0,003\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}n_{BaSO_4\downarrow}=n_{SO_4^{2-}}=0,002\left(mol\right)\\n_{Fe\left(OH\right)_2\downarrow}=n_{OH^-dư}=0,001\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow m_{\downarrow}=0,002.233+0,001.90=0,556\left(g\right)\)
\(n_{OH^-}=0,5.0,2+0,2.2.0,3=0,22\left(mol\right)\Rightarrow\left[OH^-\right]=\dfrac{0,22}{0,5}=0,44M\)
\(n_{Na^+}=0,5.0,2=0,1\left(mol\right)\Rightarrow\left[Na^+\right]=\dfrac{0,1}{0,5}=0,2M\)
\(n_{Ba^{2+}}=0,2.0,3=0,06\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{0,06}{0,5}=0,12M\)
nNaHCO3= 0,2 mol⇒ nHCO3= 0,2 mol
nK2CO3= 0,2 mol⇒ nCO3= 0,2 mol
nH2SO4= 0,1 mol
nHCl= 0,1 mol
⇒∑nH+= 0,1.2+0,1=0,3 mol
PT:\(CO3^{2-}+H^+\rightarrow HCO3^-\)
____0,2____0,2______0,2
\(HCO3^-+H^+\rightarrow CO2+H2O\)
0,1______________0,1__0,1
⇒nHCO3= 0,2+0,2- 0,1= 0,3 mol
Cho Ba(OH)2 dư:
\(HCO3^-+OH^-\rightarrow CO3^{2-}+H2O\)
0,3____________________0,3
⇒m kết tuả= mBaCO3= 0, 3.197=59,1 g
VCO2 = 0,1.22,4= 2,24 l
\(n_{H^+}=n_{HCl}=0,5.0,3=0,15\left(mol\right)\\ n_{OH^-}=2.n_{Ba\left(OH\right)_2}=0,2.a.2=0,4a\left(mol\right)\\ Vì:pH=1\Rightarrow-log\left[H^+\right]=1\\ \Leftrightarrow\left[H^+\right]=0,1\left(M\right)\\ \Rightarrow\dfrac{n_{H^+\left(dư\right)}}{0,5}=0,1\\ \Rightarrow n_{H^+\left(dư\right)}=0,05\left(mol\right)\\ \Rightarrow0,15-0,4a=0,05\\ \Leftrightarrow a=0,25\)