  We present an analysis of the X-ray properties 10 luminous, dust-reddened
quasars from the FIRST-2MASS (F2M) survey based on new and archival Chandra
observations. These systems are interpreted to be young, transitional objects
predicted by merger-driven models of quasar/galaxy co-evolution. The sources
have been well-studied from the optical through mid-infrared, have Eddington
ratios above 0.1, and possess high-resolution imaging, most of which shows
disturbed morphologies indicative of a recent or ongoing merger. When combined
with previous X-ray studies of five other F2M red quasars, we find that the
sources, especially those hosted by mergers, have moderate to high column
densities ($N_H \simeq 10^{22.5-23.5}$ cm$^{-2}$) and Eddington ratios high
enough to enable radiation pressure to blow out the obscuring material. We
confirm previous findings that red quasars have dust-to-gas ratios that are
significantly lower than the value for the Milky Way's interstellar medium,
especially when hosted by a merger. The dust-to-gas ratio for two red quasars
that lack evidence for merging morphology is consistent with the Milky Way and
they do not meet the radiative feedback conditions for blowout. These findings
support the picture of quasar/galaxy co-evolution in which a merger results in
feeding of and feedback from an AGN. We compare the F2M red quasars to other
obscured and reddened quasar populations in the literature, finding that,
although morphological information is lacking, nearly all such samples meet
blowout conditions and exhibit outflow signatures suggestive of winds and
feedback.
