Update: The old method won't work. Here's the new method to kill Facebook chat. The solution is to...

First, Click on "Try It Now" in the chat area.

Second, In the options drop down unselect "Available to Chat".

Original post:

I logged in to my Facebook account tonight and found that I was also logged into chat. I really hate chat, so I searched how to turn off the new Facebook chat. It's really simple, so I hope that Facebook doesn't kill this link. Also, all your chat messages are stored in your inbox.

First, click on this link:
http://www.facebook.com/presence/popout.php

Second, click on the options drop down and go offline!

Bye Bye FB Chat!

Whatever you do...

Do not click on the chat area at the bottom of the screen or you'll be logged in again!