110 volt power outlets
 

I am hearing that these are only 150 watt output is this correct?
If so I want to install an inverter that is 1000 watt peak and 400 watt continuous. What I am wanting to run is a Traeger PTG pellet smoker that pulls 300W at start up then a continuous 50W for the rest of the running time. How long could I expect to run this smoker without having any battery drain issues?
Note: I have a 2012 F-350 with the 6.7 Powerstroke so I have two batteries. Thank you in advance.