Lequeux et al. (1993) have proposed that there is a substantial amount
of mass in cold H-2 clouds in the outer galaxy. We test this hypothes
is using recent molecular line observations toward the supernova remna
nt Cassiopeia A. From H2CO and OH absorption and CO emission line data
, the molecular clouds toward Cas A are not interacting with this supe
rnova remnant, so are typical interstellar clouds with A(v) approximat
ely 3m. These clouds are in the Perseus spiral arm, approximately 10 k
pc from the galactic center, that is, in the outer galaxy. Since these
clouds have been selected on the basis of absorption line surveys, th
ere is no bias toward warm molecular gas as in CO emission line survey
s. Comparisons with 20'' resolution emission line maps of CO are used
to determine the kinetic temperature, T(k). The region sampled is appr
oximately 16 square arcmin, much more than can ever be observed using
line absorption spectra toward extragalactic sources. Of more than 15
clouds toward Cas A, only one has T(k) as low as 6 K. Cold H-2 makes u
p a mass fraction of <3%.