Citric Acid Concentration of Strawberry Fanta (or Barq's Rootbeer) as Determined by pH Measurement
In
a previous experiment, you determined the concentration of citric acid
(hereafter known simply as CA) by titration. Titration has a few flaws,
one of which is that if we are trying to titrate a solution that has a
color, 'seeing' and endpoint is difficult. Just 'seeing' is the other
big problem, because the 'end point' is a judgment call.
In this
experiment, we are going to solve both problems at one, by measuring
the pH of the soda sample and using our knowledge of equilibrium
calculations, we can determine [CA] without every looking at it, just
measuring it with some objective instrument (a pH meter)
Now,
nobody said the math was going to be easy, in fact, we are going to
cheat. Citric acid is a tri-protic acid, and doing a pH calculation of
a X.Y molar solution is really hard because we would have to solve
three equilibrium equations simultaneously, which nobody wants to do,
so we are going to calculate a pseudo equilibrium constant, (Ka*) the
one for this equilibrium:
H3C6H5O7 ↔ H+(aq) + H2C6H5O7-(aq)
Which,
I know looks like the Ka1 expression for citric acid (it is) but we are
going to pretend that this is the ONLY equilibrium going on. (a safe
assumption because we make the assumption throughout the experiment.
Any error because of it is actually canceled out.
You are going
to make solutions of known initial citric acid concentration (think 'I'
in ICE) by adding pure (s) citric acid diluted into a 25.00 mL flask.
The pH will then measured allowing us to calculate the equilibrium
(think 'E' line in ICE) concentration of H+(aq) allowing us to
calculate the value for Ka*. Three good runs, of course.
Armed
with that value, we can measure the pH of the soda sample, and the
problem turns into one of the 'other' kind of equilibrium problems
(Given pH and Ka, calculate initial acid concentration)
Lab Report: Yes, you should do one. Not sure what flavor... Ask me in lecture.
Pre-Lab questions: (worth 8 points)
1.
HZ is a weak acid. An aqueous solution of HZ is prepared by dissolving
0.035 mol of HZ in sufficient water to yield 1.0 L of solution. The pH
of the solution was 3.93 at 25.0 °C. The Ka of HZ is __________.
2.
The pH of a different solution of HZ is measured to be 4.23. What is
the concentration of this new solution (you are trying to determine
that pesky 'I' line here)