You mention Facebook in your OP. I find Facebook to be a massive CPU and RAM pig on older hardware, especially with more than one FB tab open. My dual 1Ghz G4 tower could just barely cope with Youtube, too.
It may interest you to know that used (non Mac) Core2Duo desktops - even some laptops - are available around the price range you're looking at, with a bit of hunting.
It may interest you to know that used (non Mac) Core2Duo desktops - even some laptops - are available around the price range you're looking at, with a bit of hunting.