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nyenohwin nyenohwin
wrote...
11 years ago
What is the approximate pH at the equivalence point of a weak acid-strong base titration if 25 mL of aqueous formic acid requires 29.80 mL of 0.0567 M NaOH? Ka = 1.8 x 10-4 for formic acid.
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nykid987 Author
wrote...
11 years ago
at equivalence point the mmoles of acid and base are equal so the mmoles of base consumed by the formic acid are 29.8mL x 0.0567 M NaOH = 1.6897 mmoles since you have completely reacted all the base with acid  you have only sodium formate and water at the EP ::
   HCOOH + NaOH ------ Na+  CHO2^-1   + H2O as formate is the conjugate base of  weak acid ( the Ka of HCOOH is 1.8 X 10^-4 ) then formate is a pretty strong base ( Lowry/Bronsted principle ) and will hydrolyze in water  CHO2^-1 + H2O ------->  HCOOH  + OH^-1 according to its hydrolysis constant which is Kh= Kw/Ka

so the concentration  of sodium formate  ( M ) present at EP is 1.6897 mmoles/25mL + 29.8 mL ( the total volume )= 0.0308M  a small amount of this,X,  will hydrolyze  to yield X amounts of HCOOH and X amounts of OH^-1

using the Kh=  1 x 10^-14/1.8 x 10^-4 = 5.56 X 10^-11
then 5.56 X 10^-11 =
  • /0.0308M -x
assuming x is small compared to 0.0308  then the equation reduces to
x^2 = 0.0308 x 5.56 X 10^-11 :::  x^2 = 1.71 X 10^-12;  x = OH = 1.308 X 10^-6 ( so X IS small compared to 0.0308 ). Since [OH^-1] = 1.308 X 10^-6 ,, the pOH is -log ( 1.308 X 10^-6 ) = 5.88  pH is thn 14- pOH
= 14- 5.88 = 8.12
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