will my pc run snow leopard

Snow leopard is only for Intel Macs

If you have a PowerMac, Snow Leopard requires a Mac with an Intel processor.

Highest any PPC Mac, (G3, G4, G5), can go is Leopard 10.5.8.

Snow Leopard/10.6.x Requirements...

General requirements

* Mac computer with an Intel processor

* 1GB of memory (I say 2GB at least)

* 5GB of available disk space (I say 30GB at least)

* DVD drive for installation

* Some features require a compatible Internet service provider; fees may apply.

* Some features require Apple’s MobileMe service; fees and terms apply.

Which apps work with Mac OS X 10.6?...

http://snowleopard.wikidot.com/

If it's a core Duo & not a Core2Duo, then it'll only run in 32 bit mode.