I just put in a new battery and withina month it drained

It Sounds Like The Cells Of Your Battery Have Depleted..

The Basic Chemical-Electrical Action Inside A Battery Cell, When The Cell Is Being Charged, The Alternator Causes Free Electrons (Negative Charges) To Be Deposited On The Negative (-) Plate. This Causes The Plates To Have A Difference In Potential (Electrical Pressuer, Or Voltage). When A Load Is Connected Across The Terminals, There Is A Current (Flow Of Electrons) To Equalize The Difference In Charges On The Plates. The excess Electrons Move From The Negative Plate To The Positive Plate,

As Soon As The Engine Starts, The Charging system Takes Over,It Recharges The Battery While Feeding Current To The Electrical Units In The Car. If The Load Becomes To Much For The Charging System (Engine Idling Slowly And All Accessories On, For Example), The Battery May Also Feed Current Into The Electrical System..

Something is draining the battery while the ignition switch is off. there are some things which remain on, but their drain is supposed to be very low. get an ammeter, which measures current, and remove the positive battery cable and place the ammeter between the battery post and the battery cable. there should be some very small amount of flow. now pull the fuses one by one while someone is watching the ammeter for you. eventually you will pull a fuse and the current drain will go down to almost nothing. that will be the fuse on which the offending circuit or doodad resides. now put the fuse back in and begin disabling each doodad until you hit the one which is causing the high current drain. typical things are autolocking mechanisms, lights which do not go off in trunks, under hoods, glove boxes.