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\(a)n_{Ba\left(OH\right)_2}=0,05\cdot0,2\cdot2=0,02mol\\ pH=1\Rightarrow\left[OH^-\right]=0,1M\Rightarrow n_{HCl}=0,1\cdot0,3=0,03mol\\ n_{Ba\left(OH\right)_2}+n_{HCl}=0,02+0,03=0,05mol\\ \Rightarrow C_M=\dfrac{0,05}{0,5}=0,1M\Rightarrow pH=1\)
\(n_{NaOH}=0.015\cdot2=0.03\left(mol\right)\)
\(n_{H_2SO_4}=0.015\cdot1.5=0.0225\left(mol\right)\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
\(0.03..........0.015...........0.015\)
\(n_{H_2SO_4\left(dư\right)}=0.0225-0.015=0.0075\left(mol\right)\)
\(C_{M_{Na^+}}=\dfrac{0.015\cdot2}{0.015+0.015}=1\left(M\right)\)
\(C_{M_{H^+}}=\dfrac{0.0075\cdot2}{0.015+0.015}=0.5\left(M\right)\)
\(C_{M_{SO_4^{2-}}}=\dfrac{0.015+0.0075}{0.015+0.015}=0.75\left(M\right)\)
câu 1 : ta có : \(\dfrac{2NaOH}{0,03}\dfrac{+}{ }\dfrac{H_2SO_4}{0,0225}\dfrac{\rightarrow}{ }\dfrac{Na_2SO_4}{ }\dfrac{+}{ }\dfrac{2H_2O}{ }\)
\(\Rightarrow NaOH\) phản ứng hết và \(H_2SO_4\) dư \(0,0075\left(mol\right)\)
\(\Rightarrow\dfrac{H_2SO_4}{0,0075}\dfrac{\rightarrow}{ }\dfrac{2H^+}{0,015}\dfrac{+}{ }\dfrac{SO_4^{2-}}{ }\) \(\Rightarrow\left[H^+\right]=\dfrac{0,015}{0,03}=0,5\)
vậy .................................................................................................
câu 2 : ta có : \(\dfrac{2KOH}{0,1}\dfrac{+}{ }\dfrac{H_2SO_4}{0,05}\dfrac{\rightarrow}{ }\dfrac{k_2SO_4}{0,05}\dfrac{+}{ }\dfrac{2H_2O}{0,1}\)
\(\Rightarrow m_{chấtrắng}=m_{K_2SO_4}+m_{KOH_{dư}}\) \(\Leftrightarrow m_{KOH_{dư}}=m_{chấtrắng}-m_{K_2SO_4}\)
\(\Leftrightarrow m_{KOH_{dư}}=11,5-0,05.174=2,8\)
\(\Rightarrow m_{KOH}=0,1.56+2,8=3,36\) \(\Rightarrow n_{KOH}=\dfrac{3,36}{56}=0,06\)
\(\Rightarrow C_M=\dfrac{0,06}{0,15}=0,4\left(M\right)\)
vậy .................................................................................................
mol H+ = 0,2+0,5.0,2.2 = 0,4 = mol OH-
Đặt mol NaOH = x, mol Ba(OH)2 = y.
Có: x + 2y = 0,4
......x/y = 1/2 (tỉ lệ CM).
=> x = 0,08; y = 0,16
=> Thể tích dd = 0,08/1 = 0,08 lit = 80ml
CM(NaOH) = 0,01 (mol)=> nNaOH = 0,1.0,01=0,001(mol)
V = 200 ml = 0,2 (l)
2NaOH + H2SO4 -> Na2SO4 +H2O
0,001............0,0005 (mol)
nH+ dư = 0,01.0,2=0,002 (mol)
\(\Sigma n_{H^+ban.dau}=0,0005.2+0,001=0,002\left(mol\right)\)
CM (H+ bđ) = 0,002/0,2=0,01 => pH = 2
\(\left[Na^+\right]=\dfrac{2.0,015}{2.0,015}=1M\)
\(\left[OH^-\right]=\dfrac{2.0,015}{2.0,015}=1M\)
\(\left[H^+\right]=\dfrac{2.1,5.0,015}{2.0,015}=1,5M\)
\(\left[SO_4^{2-}\right]=\dfrac{1,5.0,015}{2.0,015}=0,75M\)