We present a detailed theoretical model for the thermal balance, chemi
stry, and radiative transfer within quiescent dense molecular cloud co
res that contain a central protostar, In the interior of such cores. w
e expect the dust and gas temperatures to be well coupled, while in th
e outer regions CO rotational emissions dominate the gas cooling and t
he predicted gas temperature lies significantly below the dust tempera
ture. Large spatial variations in the gas temperature are expected to
affect the gas phase chemistry dramatically in particular, the predict
ed water abundance varies by more than a factor of 1000 within cloud c
ores that contain luminous protostars. Based upon our predictions for
the thermal and chemical structure of cloud cores, we have constructed
self-consistent radiative transfer models to compute the line strengt
hs and line profiles for transitions of (CO)-C-12, (CO)-C-13, (CO)-O-1
8, ortho-and para-(H2O)-O-16, ortho-and para-(H2O)-O-18, and O I. We c
arried out a general parameter study to determine the dependence of th
e model predictions upon the parameters assumed for the source. We exp
ect many of the far-infrared and submillimeter rotational transitions
of water to be detectable either in emission or absorption with the us
e of the infrared Space Observatory (ISO) and the Submillimeter Wave A
stronomy Satellite. Quiescent, radiatively heated hot cores are expect
ed to show low-gain maser emission in the 183 GHz 3(13)-2(20) water li
ne, such as has been observed toward several hot core regions using gr
ound-based telescopes. We predict the P-3(1)-P-3(2) fine-structure tra
nsition of atomic oxygen near 63 mu m to be in strong absorption again
st the continuum for many sources. Our model can also account successf
ully for recent ISO observations of absorption in rovibrational transi
tions of water toward the source AFGL 2591.