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\(n_{H^+}=0,1\cdot1=0,1mol\\ H^++OH^-\rightarrow H_2O\)
0,1.........0,1
\(V_{OH^-}=\dfrac{0,1}{0,375}\approx0,3l\)
\(n_{HCl}=0.1\cdot0.03=0.003\left(mol\right)\)
\(n_{NaOH}=0.1\cdot0.01=0.001\left(mol\right)\)
\(NaOH+HCl\rightarrow NaCl+H_2O\)
Lập tỉ lệ :
\(\dfrac{0.003}{1}>\dfrac{0.001}{1}\Rightarrow HCldư\)
\(n_{HCl\left(dư\right)}=0.003-0.001=0.002\left(mol\right)\)
\(\left[H^+\right]=\dfrac{0.002}{0.1+0.1}=0.01\)
\(pH=-log\left(0.01\right)=2\)
\(b.\)
\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)
\(0.001..........0.002\)
\(V_{Ba\left(OH\right)_2}=\dfrac{0.001}{1}=0.001\left(l\right)\)
\(b.n_{NaOH\left(tổng\right)}=0,4.0,5+\dfrac{100.1,33.20\%}{40}=0,865\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\left(sau\right)\right]=\dfrac{0,865}{0,4+0,1}=1,73\left(M\right)\\ c.n_{HCl}=0,05.0,12=0,006\left(mol\right)\\ n_{HNO_3}=0,15.0,1=0,015\left(mol\right)\\ \left[H^+\right]=\dfrac{0,006+0,015}{0,05+0,15}=0,105\left(M\right)\\ \left[NO^-_3\right]=\dfrac{0,015}{0,05+0,15}=0,075\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,006}{0,05+0,15}=0,03\left(M\right)\)
\(d.n_{H_2SO_4}=0,4.0,05=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ f.n_{KOH}=\dfrac{20.1,31.32\%}{56}=\dfrac{131}{875}\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,08.1=0,08\left(mol\right)\\ \left[OH^-\right]=\dfrac{\dfrac{131}{875}+0,08.2}{0,02+0,08}=\dfrac{542}{175}\left(M\right)\\ \left[Ba^{2+}\right]=\dfrac{0,08}{0,02+0,08}=0,8\left(M\right)\)
\(\left[K^+\right]=\dfrac{\dfrac{131}{875}}{0,02+0,08}=\dfrac{262}{175}\left(M\right)\)
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
nH+=0,022 mol nOH-=0,02 mol
H+ + OH- --------> H20
0,022 0,02
0,02 0,02
0,002
[H+] du=0,002/0,2=0,01 M
pH= -log(0,01)=2
nHCl = 0.022 mol
=> nH+ = 0,022 mol
nNaOH = 0,02 mol
=> nOH- = 0,02 mol
H+ + OH- --> H2O
dư nH+ = 0,002 mol
=> [H+ ]= 0,002/ ( 0,1+0,1) = 0,01 M
=> pH = 2