In cooler weather a 100w panel MAY run a smaller fridge But once you get above 30C the fridge will draw more power than a 100w panel can produce, At 45C the fridge will shut itself down pretty fast because the battery is severely depleted which isn't good for the lifespan of the battery.
As far as trying to run an AC in 45C temps with only 100w input, Forget that idea.
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