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Generally it takes one ton of cooling for every 500 square feet of space.
2.5 tons will not be enough for this home.
In order to give a truly accurate answer, you would have to have a load calculation performed on the home by a HVAC firm. But generally speaking, it will take at least 3.5 tons for this home.
A load calculation involves finding out the heat loss in the winter and the heat gain in the summer of the home.
This involves quite a bit of detail such as number of doors, size of doors, type of doors, number of windows, size of windows, type of windows, type of roof, roof color, wall type, floor type, etc...
A load calculation cannot be performed on this chat forum.
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