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\(b.n_{NaOH\left(tổng\right)}=0,4.0,5+\dfrac{100.1,33.20\%}{40}=0,865\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\left(sau\right)\right]=\dfrac{0,865}{0,4+0,1}=1,73\left(M\right)\\ c.n_{HCl}=0,05.0,12=0,006\left(mol\right)\\ n_{HNO_3}=0,15.0,1=0,015\left(mol\right)\\ \left[H^+\right]=\dfrac{0,006+0,015}{0,05+0,15}=0,105\left(M\right)\\ \left[NO^-_3\right]=\dfrac{0,015}{0,05+0,15}=0,075\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,006}{0,05+0,15}=0,03\left(M\right)\)
\(d.n_{H_2SO_4}=0,4.0,05=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ f.n_{KOH}=\dfrac{20.1,31.32\%}{56}=\dfrac{131}{875}\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,08.1=0,08\left(mol\right)\\ \left[OH^-\right]=\dfrac{\dfrac{131}{875}+0,08.2}{0,02+0,08}=\dfrac{542}{175}\left(M\right)\\ \left[Ba^{2+}\right]=\dfrac{0,08}{0,02+0,08}=0,8\left(M\right)\)
\(\left[K^+\right]=\dfrac{\dfrac{131}{875}}{0,02+0,08}=\dfrac{262}{175}\left(M\right)\)
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 \(\Rightarrow n_{H^+\left(dư\right)}=0,32\left(mol\right)\)
\(\Rightarrow\left[H^+\right]=\dfrac{0,32}{0,2+0,3}=0,64\left(M\right)\) \(\Rightarrow pH=-log\left(0,64\right)\approx0,19\)
Dd thu được có môi trường trung tính
`=>` Bazơ và axit đều hết
`n_{HCl} = 0,2.0,1 = 0,02(mol)`
`2HCl + Ba(OH)_2 -> BaCl_2 + 2H_2O`
`0,02 -> 0,01`
`-> V = V_{ddBa(OH)_2} = (0,01)/(0,1) = 0,1(l) = 100(ml)`
`Ba(OH)_2 -> 2OH^{-} + Ba^{2+}`
`0,1 -> 0,2`
`-> pH = 14 + log(0,2) ~~ 13,3`
\(n_{H_2SO_4}=0,05.0,4=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H_2SO_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[HCl\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ \Rightarrow\left[H^+\right]=0,05.2+0,175.1=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=0,05\left(M\right)\\ \left[Cl^-\right]=0,175\left(M\right)\)
\(n_{H^+}=0.3\cdot0.1\cdot2+0.3\cdot0.15=0.105\left(mol\right)\)
\(n_{OH^-}=0.001V\cdot0.3+0.001V\cdot2\cdot0.1=0.0032V\left(mol\right)\)
\(H^++OH^-\rightarrow H_2O\)
\(0.105.......0.105\)
\(n_{OH^-\left(dư\right)}=0.0032V-0.105\left(mol\right)\)
\(\left[OH^-\right]=\dfrac{0.0032V-0.105}{0.3+0.001V}\left(M\right)\)
\(pH=14+log\left[OH^-\right]=12\)
\(\Leftrightarrow log\left[OH^-\right]=-2\)
\(\Leftrightarrow log\left[\dfrac{0.0032V-0.105}{0.3+0.001V}\right]=-2\)
\(\Leftrightarrow V=33.85\left(ml\right)\)
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 :(
\(n_{OH^-}=0,5.0,2+0,2.2.0,3=0,22\left(mol\right)\Rightarrow\left[OH^-\right]=\dfrac{0,22}{0,5}=0,44M\)
\(n_{Na^+}=0,5.0,2=0,1\left(mol\right)\Rightarrow\left[Na^+\right]=\dfrac{0,1}{0,5}=0,2M\)
\(n_{Ba^{2+}}=0,2.0,3=0,06\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{0,06}{0,5}=0,12M\)
Ta có: \(n_{H^+}=2n_{H_2SO_4}+n_{HCl}=2\cdot0,02+0,07=0,11\left(mol\right)\)
\(\Rightarrow\left[H^+\right]=\dfrac{0,11}{0,35+0,05}=0,275\left(M\right)\) \(\Rightarrow\left[OH^-\right]=\dfrac{10^{-14}}{\left[H^+\right]}\approx3,64\cdot10^{-14}\left(M\right)\)
\(\Rightarrow pH=-log\left(0,275\right)\approx0,56\)
*Môi trường axit và làm quỳ tím hóa đỏ
\(n_{H_2SO_4}=0,05.0,4=0,02\left(mol\right)\\ n_{HCl}=0,2.0,35=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ pH=-log\left[H^+\right]=-log\left[0,275\right]=0,56\\ \Rightarrow Qùy.hóa.đỏ\)