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There is insufficient information to properly answer this question. The answer provided attempts to provide insight, but the answer is incomplete.

A 12V, 150AH battery will put out 2250 watts for eight hours, give or take a little. A naive answer would say that the running time is 2250 divided by 600, or 3.75 hours. There are, however, several factors that need to be considered...

The ampere-hour rating of the battery is non linear. It is normalized to a eight-hour rate. It appears that the running time is more than 3.75 hours.

The battery voltage will decrease over time, and the rating is based on amperes, not on watts. It appears that the running time is less than 3.75 hours.

The minimum input voltage rating of the inverter, and the maximum voltage rating of the battery at full discharge were not specified. It appears that the running time is less than 3.75 hours.

The overhead, or inefficiency, of the inverter was not specified, so not all of that 600W is available to the load. It appears that the running time is less than 3.75 hours.

The power factor of the inverter and of the load was not specified. The running time difference in this aspect is not known.

The thermal rating and maximum run time of the inverter was not specified. The running time difference in this aspect is not known.

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Q: What is the time of running inverter 600 watts at full load in 12v 150 AH battery?
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