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Apple states the following basic Snow Leopard system requirements are:
  • Mac computer with an Intel processor (IA-32). "Yonah" processors such as Core Solo and Core Duo can run only 32-bit applications; later x86-64 architecture processors such as Core 2 Duo are also able to run 64-bit applications.
  • 1 GB of RAM
  • 5 GB of free disk space
  • DVD drive (also accessible via Remote Disc) or external USB or FireWire DVD drive for installation
 
I really recommend having 2gb of ram for snow leopard. It will use more ram when idle than tiger. Eg ,kernel task(your kernel) will use around 200 a 300mb of your ram. Stick a browser on top of that will dive ram total use up to 600mb. Add in 64mb more for integrated graphics etc. .

Going from tiger to 10.6 on my old computer was definitely worth it though. The computer was an old pentium 4 hackintosh, much older than your laptop. System performed better than when on tiger which is amazing considering that the computer came out in 2005.
 
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