  We report on the measurement of the heat capacity for an optically-trapped,
strongly-interacting Fermi gas of atoms. In the experiments, a precise input of
energy to the gas is followed by single-parameter thermometry. The thermometry
determines a temperature parameter $\tilde{T}$ from the best fit of a
Thomas-Fermi distribution with a fixed Fermi radius to the spatial density of
the cloud. At $\tilde{T}=0.33$, we observe a transition between two patterns of
behavior: For $\tilde{T}=0.33-2.15$, we find that the heat capacity closely
corresponds to that of a trapped normal Fermi gas of atoms with increased mass.
At low temperatures $\tilde{T}=0.04-0.33$, the heat capacity clearly deviates
from normal Fermi gas behavior.
