The 13,000 Btu A/C units will struggle to keep your coach cool when parked in direct sunlight and 100F+ degree weather. Unless if you run the A/C before it starts to get warm, it will need to run all day before getting down to 73F degrees, (my personal comfort level).
Yes, they typically blow 10-15 degrees F colder coming out, than going in.
I really miss the Carrier AirV A/C unit on my old PopUp. It was designed with a "slinger wheel" so that condensation was evaporated before it would run out onto the roof. The Huuricane/Windsport motorhomes do not have a rain gutter, and the condensation just finds the low spot on the roof to run down.
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