SOLUBILITY AND THERMODYNAMICS - Mr. Fischer.com

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Oct 27, 2013 (3 years and 9 months ago)

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SOLUBILITY AND THERMODYNAMICS


The purpose of this experiment is to measure the solubility of KNO
3

at several temperatures, and from
these measurements to determine ∆G°, ∆H°, and ∆S° for the reaction




KNO
3

(s)


K
1+

(aq) + NO
3
1


(aq)


Procedure


1.
Set up a boiling water bath. Obtain a large (50 mL) graduated cylinder and remove the plastic base, so
you can use it like a big test tube.


2. Weigh the cylinder, add about 20 g of KNO
3
, reweigh, and record the exact mass of KNO
3

used. Add
15 mL deioniz
ed water (add it gradually, dripping it down the side so no KNO
3

crystals stick to the
inside of the cylinder) and heat the cylinder in the boiling water bath, stirring occasionally with a
magnetic stir bar, until all of the KNO
3

has dissolved. Leave the
stir bar in the tube.


3. Remove the cylinder from the water bath. Allow it to cool, stirring constantly, and monitor the
temperature. Record the temperature when crystals first appear. Record the solution volume (leave
the stir bar in the liquid).


4.

Add 5 mL of deionized water, stir, then re
-
warm the solution just until all solid has dissolved. Remove
the cylinder from the bath and allow it to cool as before. Record the temperature and solution volume
when crystals first appear.


5. Repeat step 4

several times until you have at least 5 data points. Lift the stir bar out of the solution and
reread the volume of the last point without stir bar, so you can correct the data points for the volume
of the stir bar. When you are finished pour the soluti
on in the instructor’s beaker (so I can reclaim the
KNO
3
), then rinse the cylinder, temperature probe, and stir bar thoroughly.


Analysis


Write the chemical equation for the solubility equilibrium and the expression for its K
sp
. Subtract the stir
bar vol
ume from each solution volume.


1. The system is at equilibrium when solid is in contact with saturated solution, a condition met when you
first observe crystals in the solution. For each temperature, calculate the solubility of the KNO
3

from
the mass us
ed and the corrected solution volume, then calculate the value of K
sp

for the reaction.


2. Calculate ∆G° for the reaction at each temperature, using the relationship ∆G° =


RTlnK
eq
, where T
is the absolute temperature and R is the gas constant in J/mol K.


3. The relationship between K and temperature has the same form as the Clausius
-
Cl
apeyron and
Arrhenius equations:


That means a plot of ln K vs 1/T should yield a straight line with slope


H°/R. Construct this graph
and use it to determine the value of ∆H° for the reaction. Remember to use the correct val
ue for R. A
straight line confirms that the value of ∆H° is constant over the temperature range of the experiment.



=
4. Calculate the value of ∆S° at each temperature using the relationship ∆G° = ∆H°


T∆S°.


Discussion


1. Tabulate your results for K
eq
,

∆G°, ∆H°, and ∆S° at the various temperatures and show the average
values for ∆H° and ∆S°. What do the signs tell you about this reaction? Are they what you expected?


2. Use the thermodynamic data tables at the back of your text to calculate values fo
r ∆H° and ∆S° for this
reaction. How do your values compare to the calculated values? Discuss.