The thermodynamic properties of weak
acid ionization reactions
are determined. The thermodynamic properties are corresponding values
of the absolute temperature (T), the weak acid equilibrium
constant (K
a), the enthalpy of ionization
(Δi
H°), and the entropy of
ionization (Δi
S°). The enthalpy
of ionization (Δi
H°) is determined
from the enthalpy of neutralization of HCl(aq) and the enthalpy of
neutralization of the weak acid by application of Hess’s law;
NaOH(aq) is the base. A datalogger and a temperature sensor (±0.01
°C sensitivity) are used to measure and plot the thermograms
of the reactions. The calorimeter constant (C
Cal) is determined by electrical heating of the post-reaction
solution; procedure takes 10–20 s for each C
Cal determination. With NaOH(aq) as the limiting reagent,
the post-reaction solutions consist of a weak acid and corresponding
conjugate base allowing K
a to be determined
from the measured pH of these solutions. The values of T, K
a, and Δi
H° are used to calculate Δi
S° according to the equation: Δi
G° = −RT ln K
a = Δi
H° – TΔi
S°. The choice
of H3PO4(aq), a triprotic weak acid, provides
an opportunity for students to predict and explain expected trends
in K
a, Δi
H°, and Δi
S° prior to
their determination. The multiconcept nature of this lab exercise
makes it an ideal capstone laboratory exercise in general chemistry.