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The Sc galaxy M33 has been mapped with ISOPHOT in the far-infrared, at 60,100, and 170mue. The spatial resolution of these FIR maps allows the separationof spiral arms and interarm regions and the isolation of a large number ofstar-forming regions. The spectral energy distribution in the FIR indicates asuperposition of two components, a warm one originating from dust at ~45K, anda cold one, at ~16K. The warm component is concentrated towards the spiral armsand the star-forming regions, and is likely heated by the UV radiation from OBstars. The cold component is more smoothly distributed over the disk, andheated by the diffuse interstellar radiation. For the about 60 star-formingregions detected the H-alpha/FIR flux ratio increases significantly with thedistance from the galaxy center, probably due to decreasing extinction. Ananti-correlation of F_Ha/F_60 with F_170 suggests the intrinsic extinction tobe related to the cold dust surface brightness according toA_V/S_170~0.03mag/MJy*sr. For the total galaxy the star formation rate (SFR)derived from the FIR is in agreement with that derived from the de-extinctedH-alpha emission. For individual star-forming regions, a consistency betweenSFRs derived from the optical and from the FIR requires only a fraction of theUV radiation to be absorbed locally. The individual star-forming regions alsoshow a local radio-FIR correlation. This local correlation is, however, due toquite different components than to those that lead to the well-known globalradio-FIR correlation for entire galaxies.Comment: 10 pages, 9 figures; the full resolution images of Fig.1 can be  obtained by anonymous ftp from ftp.mpia.de /pub/iso-arc

The spiral galaxy M 33 mapped in the FIR by ISOPHOT