Looking at the specs for the 10RK on the Jayco web site it shows an 8K BTU side-mount A/C as an option so I'm assuming that is what you have. When we had our 195RB it had an 8K BTU side-mount A/C and we were able to run that fine on a 2000 watt Champion Inverter Generator. As CAG pointed out - it depends on which appliances you need or want to run concurrently.
A 2200 watt inverter generator would be a better choice and still not be too bad to lift in and out of the bed of a truck. Our Champion is about 48lbs. The Honda EU2200iS is about 50lbs. If you want to run more appliances concurrently then you can get another 2000/2200 watt unit and connect them together or a single, larger 3100/3500 watt unit. The larger units are going to weigh a bit more though and can be more of a challenge to get in and out of the bed of the truck.
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TT: 2019 ORV Timber Ridge 23DBS, Blue Ox SwayPro 15K/1500
TV: 2019 Ford F-250 XLT SuperCab LB, 6.2L, 4.30/e-locker, 4x4, 164" WB, RoadActive Suspension, 3216 payload
TV: 2014 RAM 1500 Big Horn CC (Traded in)
TT: 2015 Jay Flight SLX 195RB Baja Edition, Andersen No-Sway (Traded in)
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