Actually, the graphics chip isn't likely to have much effect on the speed pSX runs at; since all emulation is done in software, cpu speed (and capability) is the main hardware limitation. As far as graphics chips/cards are concerned, the question is more down to will they run pSX properly rather than how fast.
I'm purchasing a new notebook sometime soon. I was considering going with the GMA950 over an ad-on card, but wasn't sure if it was enough for pSX. The CPU would consist of Core 2 Duo, so based on your statement, there shouldn't be any trouble with speed. So then, it looks like I'm looking for someone who can confirm that graphics in pSX are displayed properly with the GMA950.
As long as it can handle very rudimentary DirectX 9.0 stuff, then it should work. Seeing as how the chipset has to be relatively new, I'd venture a guess and say that it will run just fine. And yes, your CPU will (more than) handle pSX.
Rudimentary DirectX 9.0 stuff and 32 bit colour depth. But that's exactly what Ultima's saying, because any current card/chip should. You should be able to find that information on the laptop/motherboard site.
I'd guarantee that he's in the clear since pSX runs just fine on for example Intel 82810 which only has the most rudimentary DirectX 9 support. DX9 support was added in driver release 6.7 - i810 doesn't support any DX9-only functions in hardware at all.
pSX doesn't require a video card with hardware support for DirectX 9-only features. It just requires DirectX 9 to be installed.
In the thread 'system configs that run pSX' you can see there are a handful of old video cards mentioned that are older than DX9. For example my old Geforce 2ti.
I guess we should really say DirectX 9.0 compatible. pSX runs fine on my Rage Fury Pro card (Rage Pro 128), which is probably from about the time of DirectX 6. I think the real criterion is whether it's DirectX compatible since, as DirectX is supposed to be completely backwards compatible (how often have we heard that?), any DirectX capable card should be compatible with future versions of DirectX.
The point is, I think, that card and driver are DirectX capable. Much as I hate to praise M$ for anything, especially around supporting 'outdated' stuff, I think what it's really pointing up is the effectiveness of M$' claimed backwards compatibility for DirectX.
My card obviously wouldn't support the hardware functions of later DirectXs- I think DirectX 6.0 was probably current when this card was released. And it's a cracking card - it's easy to see why it was such a success in its day. The reason I'm running it is because it's about the most recent card I could find that is recognised and works 100% with older DOS software. Its biggest drawback is finding a good driver for it: the one I'm using now is one of the last ones written, WME_R128_4_13_7192 - it's a DirectX 8.0 driver - and seems to work as well as any I've tried.
I guess the bottom line for your TNT card would be whether it was made as a properly DirectX-capable card and could support a 32 bit colour depth. If it fit those criteria, no reason it shouldn't have worked with pSX.