Battery Model 5024 is 5200mA and 11.1v and your battery is 420mA and 10.8v, aside the fact the Battery Model 5024 is designed for the Aspire series laptop and not your satellite model. I would say no this is not a battery that will work on your laptop
here is a link to a batteries that should would work with your laptop
but My suggestion regarding replacing a battery on your laptop is pull the battery out and look at the model number on it and do a google search on the model number of the battery you will easily find a proper replacement...