Answer to Question #39038, Chemistry, Organic Chemistry
Question
OH⁻ (From KOH) vs C₂H₅O⁻ (C₂H₅OH) Which is More strong?
Answer
Strength of the base can be considered as its affinity to proton.
Consider the equilibrium
B ⋅ + H + = B H , \mathrm{B}^{\cdot} + \mathrm{H}^{+} = \mathrm{BH}, B ⋅ + H + = BH ,
where B⁻ denotes the base. More stronger base will have higher value of the equilibrium constant. The latter is about 1 0 14 10^{14} 1 0 14 for water:
O H − + H + ← K H 2 O K = [ H 2 O ] [ O H − ] [ H + ] = 1 0 14 m o l 2 l − 2 \begin{array}{l}
\mathrm{OH}^{-} + \mathrm{H}^{+} \xleftarrow{K} \mathrm{H}_{2}\mathrm{O} \\
K = \frac{[\mathrm{H}_{2}\mathrm{O}]}{[\mathrm{OH}^{-}][\mathrm{H}^{+}]} = 10^{14} \mathrm{mol}^{2} \mathrm{l}^{-2}
\end{array} OH − + H + K H 2 O K = [ OH − ] [ H + ] [ H 2 O ] = 1 0 14 mol 2 l − 2
and about 1 0 16 10^{16} 1 0 16 for ethanol
C 2 H 5 O − + H + ← K C 2 H 5 O H K = [ C 2 H 5 O H ] [ C 2 H 5 O − ] [ H + ] = 1 0 16 m o l 2 l − 2 \begin{array}{l}
\mathrm{C}_{2}\mathrm{H}_{5}\mathrm{O}^{-} + \mathrm{H}^{+} \xleftarrow{K} \mathrm{C}_{2}\mathrm{H}_{5}\mathrm{OH} \\
K = \frac{[\mathrm{C}_{2}\mathrm{H}_{5}\mathrm{OH}]}{[\mathrm{C}_{2}\mathrm{H}_{5}\mathrm{O}^{-}][\mathrm{H}^{+}]} = 10^{16} \mathrm{mol}^{2} \mathrm{l}^{-2}
\end{array} C 2 H 5 O − + H + K C 2 H 5 OH K = [ C 2 H 5 O − ] [ H + ] [ C 2 H 5 OH ] = 1 0 16 mol 2 l − 2
(two orders higher), hence C 2 H 5 O − \mathrm{C}_2\mathrm{H}_5\mathrm{O}^{-} C 2 H 5 O − is a stronger base.
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