Here is what the 4s claims and I just do not believe it..
Talk time: Up to 8 hours on 3G, up to 14 hours on 2G (GSM)
Standby time: Up to 200 hours
Internet use: Up to 6 hours on 3G, up to 9 hours on Wi-Fi
Video playback: Up to 10 hours
Audio playback: Up to 40 hours