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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 \(\Rightarrow n_{H^+\left(dư\right)}=0,32\left(mol\right)\)
\(\Rightarrow\left[H^+\right]=\dfrac{0,32}{0,2+0,3}=0,64\left(M\right)\) \(\Rightarrow pH=-log\left(0,64\right)\approx0,19\)
Ví dụ 5 :
n KOH = 0,02.0,35 = 0,007(mol)
n HCl = 0,08.0,1 = 0,008(mol)
$KOH + HCl \to KCl + H_2O$
n HCl pư = n KOH = 0,007(mol)
=> n HCl dư = 0,008 - 0,007 = 0,001(mol)
V dd = 0,02 + 0,08 = 0,1(mol)
=> [H+ ] = CM HCl dư = 0,001/0,1 = 0,01M
=> pH = -log(0,01) = 2
nKOH = 0,0015 mol
nBa(OH)2 = 0,001 mol
=> n[OH-] = 0,0015+0,001.2=0,0035 mol
=> p[OH-] = 2,456
=> p[H+] = 14-p[OH-]=11,544
\(n_{H^+}=0.3\cdot0.1\cdot2+0.3\cdot0.15=0.105\left(mol\right)\)
\(n_{OH^-}=0.001V\cdot0.3+0.001V\cdot2\cdot0.1=0.0032V\left(mol\right)\)
\(H^++OH^-\rightarrow H_2O\)
\(0.105.......0.105\)
\(n_{OH^-\left(dư\right)}=0.0032V-0.105\left(mol\right)\)
\(\left[OH^-\right]=\dfrac{0.0032V-0.105}{0.3+0.001V}\left(M\right)\)
\(pH=14+log\left[OH^-\right]=12\)
\(\Leftrightarrow log\left[OH^-\right]=-2\)
\(\Leftrightarrow log\left[\dfrac{0.0032V-0.105}{0.3+0.001V}\right]=-2\)
\(\Leftrightarrow V=33.85\left(ml\right)\)
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
\(n_{H^+}=\left[H^+\right].V=10^{-1}.0,1=0,01\left(mol\right)\)
\(n_{OH^-}=0,1a\left(mol\right)\)
\(n_{OH^-\text{ dư}}=\left[OH^-\right].V=10^{-2}.\left(0,1+0,1\right)=0,002\left(mol\right)\)
Ta có:
\(n_{OH^-}-n_{OH^-\text{ dư}}=n_{H^+}\)
\(\Leftrightarrow0,1a-0,002=0,01\)
\(\Leftrightarrow a=0,12\)
\([H^{+}]=0,1M\\ \Rightarrow n_{H^{+}}=0,1.0,1=0,01(mol)\\ pH=12 \to pOH=14-12=2\\ \Rightarrow [OH^{-}]=0,01\\ \Rightarrow n_{OH^{-}}=0,002(mol)\\ H^{+} +OH^{-} \to H_2O\\ n_{NaOH}=0,01+0,002=0,012(mol)\\ \Rightarrow a=0,12M\)
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:
\(n_{H^+}=n_{OH^-}\)
\(\Leftrightarrow0,01.V_{ddHCl}=\left(0,02.2+0,01\right).0,2\)
\(\Leftrightarrow V_{ddHCl}=1\left(l\right)\)
\(n_{OH^-}=0,15.10^{-2}\)
\(n_{H^+}=0,35.\left(0,02+0,01.2\right)=0,014\)
\(n_{H^+d\text{ư}}=0,014-0,15.10^{-2}=0,0125\Rightarrow\left[H^+\right]d\text{ư}=\dfrac{0,0125}{0,15+0,35}=0,025\)
\(\Rightarrow pH\approx1,6\)