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a, \(n_{HCl}=0,2.0,1=0,02\left(mol\right)=n_{H^+}=n_{Cl^-}\)
\(n_{H_2SO_4}=0,2.0,15=0,03\left(mol\right)=n_{SO_4^{2-}}\) \(\Rightarrow n_{H^+}=2n_{H_2SO_4}=0,06\left(mol\right)\)
\(\Rightarrow\Sigma n_{H^+}=0,02+0,06=0,08\left(mol\right)\)
\(n_{Ba\left(OH\right)_2}=0,3.0,05=0,015\left(mol\right)=n_{Ba^{2+}}\)
\(\Rightarrow n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,03\left(mol\right)\)
\(H^++OH^-\rightarrow H_2O\)
0,03___0,03 (mol) ⇒ nH+ dư = 0,05 (mol)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\)
0,015___0,015______0,015 (mol) ⇒ nSO42- dư = 0,015 (mol)
⇒ m = mBaSO4 = 0,015.233 = 3,495 (g)
\(\left[Cl^-\right]=\dfrac{0,02}{0,2+0,3}=0,04\left(M\right)\)
\(\left[H^+\right]=\dfrac{0,05}{0,2+0,3}=0,1\left(M\right)\)
\(\left[SO_4^{2-}\right]=\dfrac{0,015}{0,2+0,3}=0,03\left(M\right)\)
b, pH = -log[H+] = 1
a, \(n_{Ba\left(OH\right)_2}=0,1.0,1=0,01\left(mol\right)=n_{Ba^{2+}}\)
\(\Rightarrow n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,02\left(mol\right)\)
\(n_{NaOH}=0,1.0,1=0,01\left(mol\right)=n_{Na^+}=n_{OH^-}\)
⇒ ΣnOH- = 0,02 + 0,01 = 0,03 (mol)
\(n_{H_2SO_4}=0,4.0,0175=0,007\left(mol\right)=n_{SO_4^{2-}}\)
\(\Rightarrow n_{H^+}=2n_{H_2SO_4}=0,014\left(mol\right)\)
\(H^++OH^-\rightarrow H_2O\)
0,014___0,014 (mol) ⇒ nOH- dư = 0,03 - 0,014 = 0,016 (mol)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\)
0,007____0,007_____0,007 (mol) ⇒ nBa2+ dư = 0,01 - 0,007 = 0,003 (mol)
⇒ m = 0,007.233 = 1,631 (g)
\(\left[OH^-\right]=\dfrac{0,016}{0,1+0,4}=0,032\left(M\right)\)
\(\left[Ba^{2+}\right]=\dfrac{0,003}{0,1+0,4}=0,006\left(M\right)\)
\(\left[Na^+\right]=\dfrac{0,01}{0,1+0,4}=0,02\left(M\right)\)
b, pH = 14 - (-log[OH-]) ≃ 12,505
\(n_{Ba^{2+}}=0,1.0,1=0,01\left(mol\right)\)
\(n_{SO_4^{2-}}=0,4.0,0175=7.10 ^{-3}\left(mol\right)\)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\downarrow\)
\(\Rightarrow m=m_{BaSO_4}=7.10^{-3}.233=1,631\left(g\right)\)
Ta có:
\(n_{H^+}=0,4.0,0175.2=0,014\left(mol\right)\)
\(n_{OH^-}=0,1.0,1.2+0,1.0,1=0,03\left(mol\right)\)
Trong dung dịch X:
\(n_{OH^-}=0,03-0,014=0,016\left(mol\right)\)\(\Rightarrow\left[OH^-\right]=\dfrac{0,016}{0,1+0,4}=0,032\left(M\right)\)
\(n_{Ba^{2+}}=0,01-7.10^{-3}=3.10^{-3}\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{3.10^{-3}}{0,1+0,4}=6.10^{-3}\left(M\right)\)
\(n_{Na^+}=0,1.0,1=0,01\left(mol\right)\Rightarrow\left[Na^+\right]=0,02\)
\(pOH=-lg\left(0,032\right)\approx1,5\Rightarrow pH=14-1,5=12,5\)
a)
$KOH + HCl \to KCl + H_2O$
$n_{KOH} = 0,3(mol) < n_{HCl} = 1,05(mol)$ nên HCl dư
$n_{HCl\ dư} = 1,05 -0 ,3 = 0,75(mol)$
$n_{KCl} = n_{KOH} = 0,3(mol)$
$V_{dd} = 0,3+ 0,7 = 1(lít)$
Suy ra :
$[K^+] = \dfrac{0,3}{1} = 0,3M$
$[Cl^-] = \dfrac{0,75 + 0,3}{1} = 1,05M$
$[H^+] = \dfrac{0,75}{1} = 0,75M$
b)
$Ba(OH)_2 + 2HCl \to BaCl_2 + 2H_2O$
$n_{Ba(OH)_2} = \dfrac{1}{2}n_{HCl} = 0,375(mol)$
$V_{Ba(OH)_2} = \dfrac{0,375}{1,5} = 0,25(lít)$
\(n_{KOH}=0.3\cdot1=0.3\left(mol\right)\)
\(n_{HCl}=0.7\cdot1.5=1.05\left(mol\right)\)
\(KOH+HCl\rightarrow KCl+H_2O\)
\(0.3...........0.3..........0.3\)
Dung dịch D gồm : 0.3 (mol) KCl , 0.75 (mol) HCl dư
\(\left[K^+\right]=\dfrac{0.3}{0.3+0.7}=0.3\left(M\right)\)
\(\left[Cl^-\right]=\dfrac{0.3+0.75}{0.3+0.7}=1.05\left(M\right)\)
\(\left[H^+\right]=\dfrac{0.75}{0.3+0.7}=0.75\left(M\right)\)
\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)
\(0.375..................0.75\)
\(V_{dd_{Ba\left(OH\right)_2}}=\dfrac{0.375}{1.5}=0.25\left(l\right)\)
`100mL=0,1L`
`n_{H^+}=0,1.0,05.2+0,1.0,1=0,02(mol)`
`n_{SO_4^{2-}}=0,1.0,05=0,005(mol)`
`n_{OH^-}=0,1.0,2+0,1.0,1.2=0,04(mol)`
`n_{Ba^{2+}}=0,1.0,1=0,01(mol)`
`Ba^{2+}+SO_4^{2-}->BaSO_4`
Do `0,01>0,005->` Tính theo `SO_4^{2-}`
`n_{BaSO_4}=n_{SO_4^{2-}}=0,005(mol)`
`->m_↓=0,005.233=1,165(g)`
`H^{+}+OH^{-}->H_2O`
Do `0,02<0,04->OH^-` dư
`n_{OH^{-}\ pu}=n_{H^+}=0,02(mol)`
`->n_{OH^{-}\ du}=0,04-0,02=0,02(mol)`
Trong X: `[OH^-]={0,02}/{0,1+0,1}=0,1M`
`->pH=14-pOH=14+lg[OH^-]=13`
\(n_{HNO_3}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{Ca\left(OH\right)_2}=0.25\cdot1=0.25\left(mol\right)\)
\(Ca\left(OH\right)_2+2HNO_3\rightarrow Ca\left(NO_3\right)_2+2H_2O\)
\(0.25...............0.5.................0.25\)
\(\left[Ca^{2+}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)
\(\left[NO_3^-\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)
\(n_{NaOH}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{H_2SO_4}=0.25\cdot1=0.25\left(mol\right)\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
\(0.5..............0.25................0.25\)
\(\left[Na^+\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)
\(\left[SO_4^{2-}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)
\(n_{FeCl_3}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{NaOH}=0.5\cdot0.1=0.05\left(mol\right)\)
\(FeCl_3+3NaOH\rightarrow Fe\left(OH\right)_3+3NaCl\)
\(1............3\)
\(0.01...........0.05\)
Lập tỉ lệ : \(\dfrac{0.01}{1}< \dfrac{0.05}{3}\Rightarrow NaOHdư\)
Các chất có trong D : \(NaCl:0.03\left(mol\right),NaOH\left(dư\right):0.02\left(mol\right)\)
\(V=0.1+0.5=0.6\left(l\right)\)
\(\left[Na^+\right]=\dfrac{0.03+0.02}{0.06}=\dfrac{1}{12}\left(M\right)\)
\(\left[Cl^-\right]=\dfrac{0.03}{0.06}=0.5\left(M\right)\)
\(\left[OH^-\right]=\dfrac{0.02}{0.6}=\dfrac{1}{30}\left(M\right)\)
\(b.\)
\(m_{Fe\left(OH\right)_3}=0.01\cdot107=1.07\left(g\right)\)
\(n_{NaOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(n_{KOH}=0.1\cdot0.1=0.01\left(mol\right)\)
\(V=0.1+0.1=0.2\left(l\right)\)
\(\left[Na^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[K^+\right]=\dfrac{0.01}{0.2}=0.05\left(M\right)\)
\(\left[OH^-\right]=\dfrac{0.01+0.01}{0.2}=0.1\left(M\right)\)
\(b.\)
\(pH=14+log\left[OH^-\right]=14+log\left(0.1\right)=13\)
\(c.\)
\(H^++OH^-\rightarrow H_2O\)
\(0.02........0.02\)
\(V_{dd_{H_2SO_4}}=\dfrac{0.02}{1}=0.02\left(l\right)\)