Elliptical galaxies have hot X-ray emitting atmospheres but
 practically no cold gas, so it came as a surprise that they are
 often 60 um and 100 um IRAS sources.  There are two likely
 explanations for the origin and heating of the dust that emits
 this far infrared radiation.  The dust may be in a low-mass
 disk of neutral gas near the center of the galaxy and is heated
 by starlight.  Alternatively, the dust is shed by stars during
 stellar evolution and heated by collisions with the ambient
 hot X-ray emitting gas.  In the later model, the far infrared
 emission will appear extended in the closest large ellipticals,
 while in the former model it will appear point-like at ISO
 resolution.  We propose 60, 90, and 180 um mapping of the four
 nearest large ellipticals with hot atmospheres to determine
 if the emission is extended, and whether the temperature
 gradient is consistent with the electron collision model.