I have never seen a window A/C unit which runs on 1000 Watts and 1KVA is essentially 1000 watts. To run an A/C unit depending on the size you need a much bigger generator and not sized for the rated wattage of the unit but sized extra big to be able to kick the compressor motor over. Motor draw huge amounts of current when they first start typically unless you have a very late model with a VFD in it.
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No, the generator is too small.
The difference b/w the prime generator & standby generator is that the prime generator is used for 24/7/365, while the standby generators are only used in emergency cases, if we used standby generators for more than 24 hours continuously, then it will be overheated for sure.
A typical tea urn would take 2-3 kW and the kVA would be the same.
There is 746 watts per HP. So a 350 hp motor with a power factor of roughly 0.8 would require 261,000 W 261KW generator or 326 KVA.
Yes, an 8kVA generator can run a small house. A generator this size should be able to adequately power a one ton air conditioner, 18 cubic foot refrigerator, and other small appliances normally found in a small house.