My iPhone 5 is under a 1 year warranty, will they swap me for a new one?

My iPhone 5 battery life the last few months starting to run down really quick, but now after a few weeks ill take my iPhone off charge at 100% check my Facebook and twitter leave it on the side and it will straight down to around 10%. I'm NOT happy as I haven't done anything for the phone to do this. I pay all this money for a phone that is faulty and I got to take my charger EVERYWHERE! Won't last over 45 mins max! And if the phone dies I gotta wait about 3 hours for it to come back on and when it comes back on the phone is on 100%. Can anyone help me please? The number or email to contact Apple about this! (UK)

I'd contact Apple, personally.

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