Using the IRAM 30-m telescope equipped with the MPIfR 7-channel bolome
ter array, we have mapped the lambda 1.2 mm continuum emission of the
inner part of M 51. This emission traces the central molecular disk an
d the inner spiral arms and correlates remarkably well with the (CO)-C
-12 (2-1) line emission. The lambda 1.2 mm continuum to CO line intens
ity ratio, averaged over the 70 GHz-wide bolometer band, is 7; a simil
ar value was derived for NGC 891. The lambda 1.2 mm emission arises mo
stly from cold dust (T-d less than or equal to 20 K) associated with m
olecular clouds. Using the local Galactic value of the dust absorption
cross section, corrected for the larger metallicity observed near M 5
1's center, we derive the gas distribution from this emission. The der
ived molecular masses are similar or equal to 4 times smaller than tho
se obtained from the CO luminosity, using Strong et al.'s Galactic CO
to Hz conversion factor, but close to the masses estimated from (CO)-C
-13 and from visual extinction.