Intel i5 3470 up to par with 7950?

Hello guys,
This will seem like a dumb or overly generalized question, however I don't know how else to word this.

I am looking into buying an NCIX computer with a i5 3470 Quad-Core 3.2ghz cpu and was debating whether
to get a 7850 or 7950 and was wondering if the CPU is up to par or in other words will "bottle-neck" either of
these GPUs?

I was also wondering since i haven't played any recent games(farcry, crysis, etc) if given that the 7950 is viable
with the CPU is 8gb of ram sufficient?

Thanks in advance