Rhapsody is offering 100,000 free album downloads through July 4th to promote its DRM-free digital music service:

If you’re one of the first 100,000 to create an account by Independence Day, we’ll automatically apply a $10 credit to your first album purchase. The credit must be used by midnight Pacific time, July 4, 2008. Limit one per household.

The new Rhapsody MP3 Store lets you listen to entire songs before you buy them*, provides recommendations, and delivers DRM-free MP3s that can be played on any MP3 player.

*Full-length song plays are limited to 25 per month for non-Rhapsody members.