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Bài 1:
Ta có: \(\Sigma n_{OH^-}=n_{NaOH}+2n_{Ba\left(OH\right)_2}=0,05.0,01+0,05.0,005.2=0,001\left(mol\right)\)
\(n_{H^+}=n_{HCl}=0,05.0,015=0,00075\left(mol\right)\)
PT ion: \(OH^-+H^+\rightarrow H_2O\)
______0,001__0,00075 (mol)
⇒ OH- dư. nOH- (dư) = 2,5.10-4 (mol)
\(\Rightarrow\left[OH^-\right]=\frac{2,5.10^{-4}}{0,1}=2,5.10^{-3}M\Rightarrow\left[H^+\right]=4.10^{-12}M\)
\(\Rightarrow pH\approx11,4\)
Bài 2: Đáp án D
Giải:
Ta có: \(\Sigma n_{H^+}=n_{HCl}+2n_{H_2SO_4}=0,1.0,002+0,2.2.x=2.10^{-4}+0,4x\left(mol\right)\)
\(\Rightarrow\left[H^+\right]=\frac{2.10^{-4}+0,4x}{0,3}M\)
\(\Rightarrow pH=-log\left(\frac{2.10^{-4}+0,4x}{0,3}\right)=2,7\)
\(\Rightarrow x\approx9,964.10^{-4}\approx10^{-3}\)
Bạn tham khảo nhé!
\(n_{K_2CO_3}=0.1\cdot0.5=0.05\left(mol\right)\)
\(n_{CaCl_2}=0.1\cdot0.1=0.01\left(mol\right)\)
\(K_2CO_3+CaCl_2\rightarrow CaCO_3+2KCl\)
Lập tỉ lệ :
\(\dfrac{0.05}{1}>\dfrac{0.01}{1}\) \(\Rightarrow K_2CO_3dư\)
\(n_{CaCO_3}=n_{CaCl_2}=0.01\left(mol\right)\)
\(m=0.01\cdot100=1\left(g\right)\)
\(b.\)
Các chất có trong dung dịch :
\(K_2CO_3\left(dư\right):0.04\left(mol\right),KCl:0.02\left(mol\right)\)
\(V=0.1+0.1=0.2\left(l\right)\)
\(\left[K^+\right]=\dfrac{0.04\cdot2+0.02}{0.2}=0.5\left(M\right)\)
\(\left[CO_3^{2-}\right]=\dfrac{0.04}{0.2}=0.2\left(M\right)\)
\(\left[Cl^-\right]=\dfrac{0.02}{0.2}=0.1\left(M\right)\)
\(n_{NaOH}=0,03.0,1=0,003\left(mol\right)\\ n_{HNO_3}=0,01.0,01=0,0001\left(mol\right)\\ NaOH+HNO_3\rightarrow NaNO_3+H_2O\\ Vì:\dfrac{0,0001}{1}< \dfrac{0,003}{1}\\ \Rightarrow NaOHdư\\ n_{NaOH\left(dư\right)}=0,003-0,0001=0,0029\left(mol\right)\\ \left[OH^-\left(dư\right)\right]=\left[NaOH_{dư}\right]=\dfrac{0,0029}{0,01+0,1}=\dfrac{29}{1100}\left(M\right)\\ \Rightarrow pH=14+log\left[\dfrac{29}{1100}\right]\approx12,421\)
\(b.n_{NaOH\left(tổng\right)}=0,4.0,5+\dfrac{100.1,33.20\%}{40}=0,865\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\left(sau\right)\right]=\dfrac{0,865}{0,4+0,1}=1,73\left(M\right)\\ c.n_{HCl}=0,05.0,12=0,006\left(mol\right)\\ n_{HNO_3}=0,15.0,1=0,015\left(mol\right)\\ \left[H^+\right]=\dfrac{0,006+0,015}{0,05+0,15}=0,105\left(M\right)\\ \left[NO^-_3\right]=\dfrac{0,015}{0,05+0,15}=0,075\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,006}{0,05+0,15}=0,03\left(M\right)\)
\(d.n_{H_2SO_4}=0,4.0,05=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ f.n_{KOH}=\dfrac{20.1,31.32\%}{56}=\dfrac{131}{875}\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,08.1=0,08\left(mol\right)\\ \left[OH^-\right]=\dfrac{\dfrac{131}{875}+0,08.2}{0,02+0,08}=\dfrac{542}{175}\left(M\right)\\ \left[Ba^{2+}\right]=\dfrac{0,08}{0,02+0,08}=0,8\left(M\right)\)
\(\left[K^+\right]=\dfrac{\dfrac{131}{875}}{0,02+0,08}=\dfrac{262}{175}\left(M\right)\)
\(n_{H_2SO_4}=0,05.0,4=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H_2SO_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[HCl\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ \Rightarrow\left[H^+\right]=0,05.2+0,175.1=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=0,05\left(M\right)\\ \left[Cl^-\right]=0,175\left(M\right)\)
\(n_{HCl}=0,2.0,5=0,1mol\\ n_{K_2CO_3}=0,05.0,8=0,04mol\\ 2H^++CO_3^{2-}->H_2O+CO_2\\ n_{H^+dư}=0,1-0,08=0,02mol\\ C_{M\left(K^{^+}\right)}=\dfrac{0,08}{0,25}=0,32M\\ C_{M\left(H^{^+}dư\right)}=\dfrac{0,02}{0,25}=0,08M\\ C_{M\left(Cl^{^{ }-}\right)}=\dfrac{0,1}{0,25}=0,4M\)
n HNO3=0,01.0,05=5.10^-4mol
n NaNO3+ =0,015.0,1=1,5.10^-3 mol
=>CM H+= 0,01M
=>CM Na+ =0,015M
=>CmNO3- =0,01+0,015=0,025M