4. How would you prepare 250 mL of a buffer with pH = 3.6 using .100 M formic acid and .100 M sodium formate solutions?
Apply buffer equation
pH = pKa + log(formate/Formic acid)
pKa = 3.75 for formic acid so
3.6 = 3.75 + log(formate/Formic acid)
(formate/Formic acid) = 10^(3.60-3.75) = 0.70794
note that
total molarity must be 0.1 M, or mmol = MV = 250*0.1 = 25 mmol
then
formic acid + formate = 25 mmol
(formate/Formic acid) = 0.70794
formate = 0.70794*acid
formic acid + formate = 25 mmol
acid + 0.70794*acid = 25
acid = 25/(1+0.70794) = 14.637 mmol of acid
formate= 25-14.637 = 10.363 mmol of formate
from the solutions:
Vacid required = 14.637 /0.1 = 146.37
Vformate required = 10.363 /0.1 = 103.63
Vtotal = 146.37+103.63 = 250 mL , and ratio is kept
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