A favorite subject - battery power vs. real world - because the numbers are staggering.
If you intend to boondock, you absolutely MUST know this stuff. Fortunately, Rapid Tables makes it very easy.
13,500 BTU to watts = 4000 watts in round numbers.
https://www.rapidtables.com/convert/...U_to_Watt.html
4000 watts at 12 volts = 333 AMPS per hour = 333 amp hours. GULP!
https://www.rapidtables.com/calc/ele...alculator.html
So, you need god's own inverter to deliver enough wattage, and you need cable the size of your thumb to carry 300+ amps.
13,500 BTU is the startup power (which accounts for the need to add an easy-start [giant capacitor] to start the AC). Let's assume your AC unit will run, once started, on 60% of startup power. That's, conveniently, 200 amps at 12 volts. 200 amps for an hour are 200 amp hours (AH).
This is getting ugly in a hurry. You'll need 2.0 AWG wire from the battery bank to your inverter, and it needs to be a short run.
https://images.crutchfieldonline.com...auge-Chart.jpg
Now let's assume the "gold standard" RV battery bank: 4 x 6 volt golf cart batteries wired in series/parallel to deliver roughly 460 AH. You get to use half. (Another discussion, but believe me, you only get to use half of the rated amp hours.) So you have 230 AH on tap to power EVERYTHING until you recharge...say with solar.
Do the math, and you see that you'll drain your battery bank in just over an hour.
Go lithium, he says? Here's a good one at only a kilobuck, but wait, it's only 100 AH. Sure, you can dig much deeper that 50% into that Battleborn, so maybe 75 AH or so before you must recharge.
https://www.solar-electric.com/battl...gaAiQxEALw_wcB
But you see where this is going...in a helluva hurry.
Now comes the solar: Assuming a reasonably priced 400 watt system from Renology or Windy Nation. 4 panels will fit reasonably on most RV roof. Given that your rig has a 13,500 BTU AC unit, your rig is on the small side.
4 panels are about the limit. In sunny Colorado, each panel can pump out roughly 30 to 35 amp hours per day in good sun. So on a good day, you can "replace" about 120 to 140 AH with that solar array. If you have the gold standard battery bank, you'll operate at a daily deficit of about 100 AH unless you use less power or you supplement with generator.
https://smile.amazon.com/Renogy-Mono...NsaWNrPXRydWU=
To do what you're asking, you'd need a second trailer to haul batteries and solar panels, a solar system and battery bank from Tesla or similar to run your AC, or, you can go with a 2 KW inverter generator and an AC kickstarter, or you can do it right and get a 3500 watt genny like this one from Harbor Freight - VERY highly regarded by Consumer Reports -
and do it right.
3500 Watt Predator:
https://www.harborfreight.com/mercha...tor-63584.html
Tesla:
https://www.gocamsolar.com/solar-bat...UaAiYCEALw_wcB
The hard facts of life with batteries are that batteries SUCK for energy storage. You absolutely
NEED a generator to run AC. And with anything short of the gold standard battery bank, any kind of compressor fridge will suck your batteries dry in no time. That's why we have 2 way fridges in most small RVs. Nobody wants to use up 300 pounds worth of the roughly 800 +/- pounds of cargo capacity on batteries, inverter, solar panels, and related tonnage of copper wire to connect it all.
One more hard lesson on energy storage:
1 gallon of propane contains 91,500 BTU.
https://www.google.com/search?q=btu+...hrome&ie=UTF-8
A 5 gallon tank holds about 4.5 gallons or 411,750 BTU.
One tank of propane contains 120,672 watts.
https://www.rapidtables.com/convert/...U_to_Watt.html
120 KW = 10,000+ amp hours at 12 volts.
The two puny propane tanks on the tongue of your rig contain 20,000 AH energy equivalent of battery power, or 87 times the USABLE energy equivalent of the gold standard battery bank!!
Gasoline contains 114,000 BTU per gallon. At 20% efficiency, your generator will turn a single gallon of gas into 550 AH at 12 volts - 55 AH at 120 volts (they are the same).
Put differently, a gallon of gas in a generator is the energy equivalent of almost TWO of the puny 12 volt group 24 batteries the dealer sent you down the road with. And, of course, you can carry spare fuel in a can.
The facts of energy life are hard...very hard. But now you have the tools to understand the limits of your battery bank...whatever the size...and how to choose the right energy delivery system for the job at hand.
I repeat. Batteries S. U. C. K.
I have 400 watts of solar and 2 x 6 volt golf cart batteries, AND a 2 KW generator, AND a propane powered fridge. I can boondock indefinitely in sunny CO. We do not need AC in the mountains (though all campers have them). If I needed AC, I'd have a 3500 watt generator - period.
I love my propane fire pit. We have fire bans all the time in CO, but you can use a propane fire pit during all but the worst fire bans. It eats propane at the rate of 54,000 BTU/hour when turned up full. Used judiciously, I can get two days out of a tank of propane. I have two tanks on the tongue and two tanks in the TV for the fire pit. And I carry one gallon of gasoline in a can for the generator, too. I seldom have to refill, because we have "enough" solar for 12 volt needs, we don't use the AC, and we only use the genny for the microwave and coffee maker. More often than not, I give my gallon of gas to a neighbor who ran out.
Good luck boondocking. It's far better than RV park camping, but you really need these fundamentals if you want to do it successfully.
P.S. If you boondock, you'll soon discover that you need to do something with grey water. Black tanks hold a surprising amount of effluent. But grey water builds up quickly. In the very dry Rocky Mountains, a garden hose adapter for the grey-water dump, a short length of hose, and a 5 gallon bucket will get the job done. In the woods, I water the trees. In a federal or state campground, I go the the nearest vault toilet. I also carry 4 x 7 gallon Reliance jugs of fresh water to refill my holding tank.
https://smile.amazon.com/Reliance-Pr...s%2C200&sr=8-2
Boondocking below.