What is the pH of a 125mM solution of sodium lactate?
Let the lactic acid be HA
use:
pKa = -log Ka
3.76 = -log Ka
Ka = 1.738*10^-4
find kb for lactate ion (A-)
use:
Kb = (1.0*10^-14)/Ka
Kb = (1.0*10^-14)/1.738*10^-4
Kb = 5.754*10^-11
A- dissociates as
A- + H2O -----> HA + OH-
0.125 0 0
0.125-x x x
Kb = [HA][OH-]/[A-]
Kb = x*x/(c-x)
Assuming x can be ignored as compared to c
So, above expression becomes
Kb = x*x/(c)
so, x = sqrt (Kb*c)
x = sqrt ((5.754*10^-11)*0.125) = 2.682*10^-6
since c is much greater than x, our assumption is correct
so, x = 2.682*10^-6 M
use:
pOH = -log [OH-]
= -log (2.682*10^-6)
= 5.57
use:
PH = 14 - pOH
= 14 - 5.57
= 8.43
Answer: 8.43
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