Ethanolamine,HOC2H4NH2 , is a viscous liquid with an ammonia-like odor; it is used to remove hydrogen sulfide from natural gas. A 0.60 M aqueous solution of ethanolamine has a pH of 11.60. What is Kb for ethanolamine? Calculate the pH of a 0.41 M aqueous solution of ethanolamine
a)
pH = 11.60
pOH = 14 - pH
= 14 -11.60
= 2.4
USE:
pOH = -log [OH-]
2.4 =- log [OH-]
[OH-] = 3.98*10^-3 M
for simplicity lets write ethanolamine as ANH2
ANH2 + H2O ——> ANH3+ + OH-
0.60 0 0 (initial)
0.60-x x x (at equilibrium)
[OH-] = x = 3.98*10^-3 M
Kb = [ANH3+][OH-]/[ANH2]
Kb = x*x/(0.60-x)
= (3.98*10^-3 * 3.98*10^-3 ) / (0.60 - 3.98*10^-3)
= 2.66*10^-5
b)
Kb = x*x/(0.41-x)
since Kb is small, x will be small and can be ignored as compared to 0.41
2.66*10^-5 = x^2/0.41
x = 3.3*10^-3 M
so,
[OH-] = 3.3*10^-3 M
pOH = -log [OH-]
= -log(3.3*10^-3 )
= 2.48
pH = 14 - pOH
= 14 - 2.48
=11.52
Answer: 11.52
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