My iPhone runs out of battery quickly?

I just got my iPhone on my birthday 7/2 and I love it. One problem it runs out of battery extremely quick. I did an experiment last night I took a screen shot of my screen being at 100% and when I woke up it was at 73% I cancelled all my apps the night before but it just runs out really quickly

Turn airplane mode on at night, an iPhone will still be on the 3G network while it's locked and this could chow battery. If that doesn't work, you'll have to restore. If THAT doesn't work then you probably have a hardware fault

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