We present a combined near-infrared and molecular line study of a 25' x 8'
area in the northern streamer of the IC 5146 cloud. Using the technique pio
neered by Lada and coworkers, we construct a Gaussian-smoothed map of the i
nfrared extinction with the same resolution as the molecular line observati
ons in order to examine correlations of integrated intensities and molecula
r abundances with extinction for (CO)-O-17, (CS)-S-34, and N2H+. We find th
at over a visual extinction range of 0-40 mag, there is good evidence for t
he presence of differential gas-phase depletions in the densest portions of
IC 5146. Both CO and CS exhibit a statistically significant (factor of sim
ilar to3) abundance reduction near A(V) similar to 12 mag, while, in direct
contrast, at the highest extinctions (A(V) > 10 mag), N2H+ appears relativ
ely undepleted. Moreover, for A(V) < 4 mag, there exists little or no N2H+.
This pattern of depletions is consistent with the predictions of chemical
theory. Through the use of a time- and depth-dependent chemical model, we s
how that the near-uniform or rising N2H+ abundance with extinction is a dir
ect result of a reduction in its destruction rate at high extinction becaus
e of the predicted and observed depletion of CO molecules. The observed abu
ndance threshold for N2H+, A(V)(th) similar to 4 mag, is examined in the co
ntext of this same model, and we demonstrate how this technique can be used
to test the predictions of depth-dependent chemical models. Finally, we fi
nd that cloud density gradients can have a significant effect on the excita
tion and detectability of high dipole moment molecules, which are typically
far from local thermodynamic equilibrium. Density gradients also cause che
mical changes since reaction rates and depletion timescales are density-dep
endent. Accounting for such density/excitation gradients is crucial to a co
rrect determination and proper interpretation of molecular abundances.