Trộn 100 ml dung dịch NaOH 0.1M với 100 ml dung dịch KOH 0.1M thu được dung dịch D.
a. Tính nồng độ các ion trong dung dịch D.
b. Tính pH của dung dịch D.
c. Trung hòa dung dịch D bằng dung dịch H2SO4 1M. Tính thể tích dung dịch H2SO4 1M cần dùng.
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\(a.\)
\(n_{NaOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{KOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(V=0.1+0.1=0.2\left(l\right)\)
\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[OH^+\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)
\(b.\)
\(pH=14+log\left(0.1\right)=13\)
\(c.\)
\(H^++OH^-\rightarrow H_2O\)
\(0.02.......0.02\)
\(V_{H_2SO_4}=\dfrac{0.02}{1}=0.02\left(l\right)\)
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: \(n_{H^+}=n_{OH^-}=0,02\left(mol\right)\)
\(\Rightarrow n_{H_2SO_4}=0,01\left(mol\right)\) \(\Rightarrow V_{ddH_2SO_4}=\dfrac{0,01}{1}=0,01\left(l\right)=10\left(ml\right)\)
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)
$pH = -log(0,15) = 0,824$
\(n_{FeCl_3}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{NaOH}=0.5\cdot0.1=0.05\left(mol\right)\)
\(FeCl_3+3NaOH\rightarrow Fe\left(OH\right)_3+3NaCl\)
\(1............3\)
\(0.01...........0.05\)
Lập tỉ lệ : \(\dfrac{0.01}{1}< \dfrac{0.05}{3}\Rightarrow NaOHdư\)
Các chất có trong D : \(NaCl:0.03\left(mol\right),NaOH\left(dư\right):0.02\left(mol\right)\)
\(V=0.1+0.5=0.6\left(l\right)\)
\(\left[Na^+\right]=\dfrac{0.03+0.02}{0.06}=\dfrac{1}{12}\left(M\right)\)
\(\left[Cl^-\right]=\dfrac{0.03}{0.06}=0.5\left(M\right)\)
\(\left[OH^-\right]=\dfrac{0.02}{0.6}=\dfrac{1}{30}\left(M\right)\)
\(b.\)
\(m_{Fe\left(OH\right)_3}=0.01\cdot107=1.07\left(g\right)\)
\(n_{NaOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{KOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(V=0.1+0.1=0.2\left(l\right)\)
\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[OH^-\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)
\(b.\)
\(pH=14+log\left[OH^-\right]=14+log\left(0.1\right)=13\)
\(c.\)
\(H^++OH^-\rightarrow H_2O\)
\(0.02........0.02\)
\(V_{dd_{H_2SO_4}}=\dfrac{0.02}{1}=0.02\left(l\right)\)