I have the 'lapdock' used here; with a phone (the original use case) IIRC it was quoted for 9 hours.. and that must have included powering the phone too, because it would keep the phone battery full. So, possible, i think.
Wow, that's impressive. How is the typing on it, is there a keyboard, is it smaller or the similar to current netbook keyboards? So if you could connect a Nexus 4 phone to it with hdmi, hack Linux on that phone you'd have a netbook comparable in performance to the current atom netbooks and a bit slower then the Samsung 303 chromebook.