It may run. But not efficiently or to capacity as there will probably not be enough air flow.You also run the risk of ruining the compressor by flooding it, as residential a/c units are notorious for not having hi and low pressure cut-out switches.
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3 ton,10 SEER
AWG #3 copper.
You need to check the compressor sticker or plate. If faded or unreadable try the installation paperwork/instructions. Typically you can search by the model number online to find it.
You need to first know the wattage of the motor and locked rotor current can be tested at a lab only
Well, honey, a 1 ton split AC unit typically requires around 3-4 KVA of power to run smoothly. So, you better make sure you've got a generator with at least that much juice if you want to keep cool when the power goes out. Don't skimp on the power, or you'll be sweating like a sinner in church.