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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 .................................................................................................
a, \(\left\{{}\begin{matrix}n_{Ba^{2+}}=4.10^{-3}\left(mol\right)\\n_{Na^+}=3.10^{-3}\left(mol\right)\\n_{OH^-}=0,011\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\left[Ba^{2+}\right]=\dfrac{4.10^{-3}}{0,2+0,3}=0,008M\\\left[Na^+\right]=\dfrac{3.10^{-3}}{0,2+0,3}=0,006M\\\left[OH^-\right]=\dfrac{0,011}{0,2+0,3}=0,022M\end{matrix}\right.\)
b, Để trung hòa dung dịch A thì:
\(n_{H^+}=n_{OH^-}\)
\(\Leftrightarrow0,01.V_{ddHCl}=\left(0,02.2+0,01\right).0,2\)
\(\Leftrightarrow V_{ddHCl}=1\left(l\right)\)
\(n_{OH^-}=0,5.0,2+0,2.2.0,3=0,22\left(mol\right)\Rightarrow\left[OH^-\right]=\dfrac{0,22}{0,5}=0,44M\)
\(n_{Na^+}=0,5.0,2=0,1\left(mol\right)\Rightarrow\left[Na^+\right]=\dfrac{0,1}{0,5}=0,2M\)
\(n_{Ba^{2+}}=0,2.0,3=0,06\left(mol\right)\Rightarrow\left[Ba^{2+}\right]=\dfrac{0,06}{0,5}=0,12M\)
\(n_{NaOH}=0.015\cdot2=0.03\left(mol\right)\)
\(n_{H_2SO_4}=0.015\cdot1.5=0.0225\left(mol\right)\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
\(0.03..........0.015...........0.015\)
\(n_{H_2SO_4\left(dư\right)}=0.0225-0.015=0.0075\left(mol\right)\)
\(C_{M_{Na^+}}=\dfrac{0.015\cdot2}{0.015+0.015}=1\left(M\right)\)
\(C_{M_{H^+}}=\dfrac{0.0075\cdot2}{0.015+0.015}=0.5\left(M\right)\)
\(C_{M_{SO_4^{2-}}}=\dfrac{0.015+0.0075}{0.015+0.015}=0.75\left(M\right)\)