Dollar bills are actually made from more than just wood pulp, they also include cotton, silk and linen -- along with red/blue fibers inserted to create texture.
According to the federal reserve, bills have the following lifespan before they wear out:
$ 1.....22 months
$ 5.....16 months
$ 10.....18 months
$ 20.....24 months
$ 50.....55 months
$ 100.....89 months