Ipod touch 5 battery problem

Sounds like a hardware problem. Since you are within the 90 days of purchase you can use Apple's Express phone service for advice; or make an appointment at the genius bar of an Apple store.

It's somewhat of a hardware its not much of a biggie. My ipod touch 5 just gets warm. I've come to believe that either the ram or the processor is right above the ipod logo at the back. Because that's where my ipod gets warm. Try deleteing everything from multitasking and if its still warm then the processor is having too much to work, you probably have a lot of stuff turned on because if the device is getting hot then the battery life is bad. For the 20% thing, it shouldnt be as bad as you describe it but it happens because the ipod does not have a proper battery calibration, which is why the ipod doesnt have the battery percentage. Download an app such as Aconitor which goes up by 1% battery and you'll know what I mean. I still suggest u take it to the apple store because even though mine gets warm its not noticeable

Mine got warm too on upper part when playing games like real racing

yes my one is like that i have a 32gb model and the battery life is pants it dies after about 2 to 4 hours so it is not a problem it is just a ipod problem