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How many BTU’s should a window AC unit be for our living room in a very old house with two open doorways leading to other rooms? It measures 16’ X 13’ X 7’ high. It won’t be a closed room since it has open walkthroughs to the dining room and hall. It’s on the first floor. The summer heat can be like max 90 or so with high humidity. Thanks a lot!
 

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Depends on window sizes, insulation, sun exposure, etc.

The sizing charts are inaccurate.

This being said, 5-6k btu/hr is more than enough for most medium to large rooms.
To cool an entire floor of a house, more like 8 to 12k.

May need a fan to distribute the air and stop it from short cycling due to cooled air being pulled back into the unit. Another option is a unit with a remote thermostat - danby calls the feature "follow me".
 

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It was common for the post wwll 2 bedroom house to be 24 x 48. A 1 ton window unit was heavy as hell and did a good job for the whole house. The room doors remained open in those days. It was also common for those to run iced with no air flow from about 4 am until turned off when the rooster crowed and woke everyone up around 6 am.
 
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