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\(b.n_{NaOH\left(tổng\right)}=0,4.0,5+\dfrac{100.1,33.20\%}{40}=0,865\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\left(sau\right)\right]=\dfrac{0,865}{0,4+0,1}=1,73\left(M\right)\\ c.n_{HCl}=0,05.0,12=0,006\left(mol\right)\\ n_{HNO_3}=0,15.0,1=0,015\left(mol\right)\\ \left[H^+\right]=\dfrac{0,006+0,015}{0,05+0,15}=0,105\left(M\right)\\ \left[NO^-_3\right]=\dfrac{0,015}{0,05+0,15}=0,075\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,006}{0,05+0,15}=0,03\left(M\right)\)
\(d.n_{H_2SO_4}=0,4.0,05=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ f.n_{KOH}=\dfrac{20.1,31.32\%}{56}=\dfrac{131}{875}\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,08.1=0,08\left(mol\right)\\ \left[OH^-\right]=\dfrac{\dfrac{131}{875}+0,08.2}{0,02+0,08}=\dfrac{542}{175}\left(M\right)\\ \left[Ba^{2+}\right]=\dfrac{0,08}{0,02+0,08}=0,8\left(M\right)\)
\(\left[K^+\right]=\dfrac{\dfrac{131}{875}}{0,02+0,08}=\dfrac{262}{175}\left(M\right)\)
\(n_{HCl}=0.1\cdot0.03=0.003\left(mol\right)\)
\(n_{NaOH}=0.1\cdot0.01=0.001\left(mol\right)\)
\(NaOH+HCl\rightarrow NaCl+H_2O\)
Lập tỉ lệ :
\(\dfrac{0.003}{1}>\dfrac{0.001}{1}\Rightarrow HCldư\)
\(n_{HCl\left(dư\right)}=0.003-0.001=0.002\left(mol\right)\)
\(\left[H^+\right]=\dfrac{0.002}{0.1+0.1}=0.01\)
\(pH=-log\left(0.01\right)=2\)
\(b.\)
\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)
\(0.001..........0.002\)
\(V_{Ba\left(OH\right)_2}=\dfrac{0.001}{1}=0.001\left(l\right)\)
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
\(n_{H^+}=0.3\cdot0.1\cdot2+0.3\cdot0.15=0.105\left(mol\right)\)
\(n_{OH^-}=0.001V\cdot0.3+0.001V\cdot2\cdot0.1=0.0032V\left(mol\right)\)
\(H^++OH^-\rightarrow H_2O\)
\(0.105.......0.105\)
\(n_{OH^-\left(dư\right)}=0.0032V-0.105\left(mol\right)\)
\(\left[OH^-\right]=\dfrac{0.0032V-0.105}{0.3+0.001V}\left(M\right)\)
\(pH=14+log\left[OH^-\right]=12\)
\(\Leftrightarrow log\left[OH^-\right]=-2\)
\(\Leftrightarrow log\left[\dfrac{0.0032V-0.105}{0.3+0.001V}\right]=-2\)
\(\Leftrightarrow V=33.85\left(ml\right)\)
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
Ok, để thử coi chứ tui ngu hóa thấy mồ :(
a/ \(n_{NaOH}=0,2.0,1=0,02\left(mol\right)\)
\(NaOH\rightarrow Na^++OH^-\)
\(n_{Na^+}=n_{OH^-}=0,02\left(mol\right)\)
\(\Rightarrow C_{MNa^+}=\frac{0,02}{0,4+0,1}=0,04\left(mol/l\right)\)
\(n_{Ba\left(OH\right)_2}=0,3.0,4=0,12\left(mol\right)\)
\(Ba\left(OH\right)_2=Ba^{2+}+2OH^-\)
\(\Rightarrow n_{OH^-}=0,24\left(mol\right);n_{Ba^{2+}}=0,12\left(mol\right)\)
\(\Rightarrow C_{MBa^{2+}}=\frac{0,12}{0,5}=0,24\left(mol/l\right)\)
\(n_{OH^-}=0,02+0,24=0,26\left(mol\right)\)
\(\Rightarrow C_{MOH^-}=\frac{0,26}{0,5}=0,52\left(mol/l\right)\)
b/ \(n_{HCl}=0,2V\left(mol\right)\)
\(\Rightarrow n_{H^+}=n_{Cl^-}=0,2V\)
\(\Rightarrow C_{MCl^-}=\frac{0,2V}{2V}=0,1\left(mol/l\right)\)
\(n_{H_2SO_4}=0,3V\left(mol\right)=\frac{n_{H^+}}{2}=n_{SO_4^{2-}}\)
\(\Rightarrow C_{MSO_4^{2-}}=\frac{0,3V}{2V}=0,15\left(mol/l\right)\)
\(n_{H^+}=0,2V+0,6V=0,8V\left(mol\right)\)
\(\Rightarrow C_{MH^+}=\frac{0,8V}{2V}=0,4\left(mol/l\right)\)
Bác nào hảo tâm giúp em mấy câu còn lại chớ đến đây thì em chịu chết òi :(