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Do you got applecare? My MBP Core Duo did the same thing. It would shut down in 20 mins without warning. Apple said I had a defective Battery and they replaced it under Applecare. Call them. Your Battery is Defective.

-JoE
 
I'm having the exact same problem, though it doesn't always shut down at the same battery charge - it does do it in the middle charged range, like 40-70% charge. Got an appointment with the genius bar tomorrow, hope to get a replacement battery.
 
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