IPhone 4s battery dying really fast?

I just recently replacement for my iPhone 4s, because I broke my old one. The battery on my new phone drains so quickly, and I didn't have this problem on my old phone. Last night I charged it to 100% then unplugged it and went to bed. When I woke up I had 63% battery left. It's so ridiculous. Is there anything I can do to make the battery last longer? Or should I just contact apple and see what they can do about it?

It might be a bad battery or a bad charger

The iPhone 4S is a touchscreen-based smartphone developed by Apple Inc. It is the fifth generation of the iPhone[5] and retains the exterior design of its predecessor, the iPhone 4, but is host to a range of improved hardware specifications and software updates.[6] The phone added a voice recognition system known as Siri, for which the S in the products name stands,[7] and a cloud storage service named iCloud. Some of the device's functions may be voice-controlled through Siri.

On October 4, 2011, in Cupertino, California, Apple announced the iPhone 4S. On October 7, 2011, it became available for preorder in seven initial countries (United States, Canada, Australia, United Kingdom, France, Germany and Japan) with the first delivery date set for October 14, 2011 and available on that same day for direct in-store sales in those countries. It was released in 22 more countries, including Ireland, Mexico, and Singapore on October 28.

If you use so much of applications running in internet your battery will get down soon.