We report a strong correlation between the [C II] 158 mum cooling line and
the mid-infrared flux in the 5-10 mum range in a wide variety of star-formi
ng galaxies. The mid-infrared flux is dominated by the aromatic features in
emission (AFEs), which are thought to arise from large polycyclic aromatic
hydrocarbons (PAHs) and are generally associated with the smallest interst
ellar grains. The [C II] line is the dominant gas coolant in most regions o
f atomic interstellar gas and therefore reflects the heating input to the g
as. The ratio of these two quantities, [C II]/AFE, remains nearly constant
around 1.5% against variations in the ratio of the IRAS 60 mum band flux to
the 100 mum band flux, R(60/100). This is in contrast to the drop in the [
C II]/far-infrared (FIR) ratio with increasing R(60/100), which signals hig
her dust temperatures and more intense radiation fields. We interpret the s
table [C II]/AFE ratio as evidence that gas heating is dominated by the PAH
s or small grains, which are also AFE carriers, over a wide range of condit
ions. The trend of decreasing [C II]/FIR and AFE/FIR with increasing radiat
ion field suggests a decrease in the importance of PAHs or small grains rel
ative to large grains both in gas heating and in dust cooling. We summarize
the observed trends and suggest two plausible scenarios.