I would think a device with a 2 ghz processor would be a battery's worst nightmare. Now a dual-core processor seems like the best of both worlds. I don't think it will have as much raw power as the 2 ghz processor but at this point who needs that much power.
Huge I wouldn't want a phone that just ran at 2 ghz now one that had the ability to oc to that cool but I still wouldn't do it. Battery tech isn't their and we would need a 2100+ extended battery to get a few hours of use