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Covers the study of (primarily homogeneous) macroscopic systems from a heat/energy/entropy point of view. Consider also using the tag: [statistical-mechanics].
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Energy efficiency: better to heat hot tub constantly or twice a day for a longer period?
From your description, it sounds like "standard mode" keeps the water always at approximately 38 degrees, whereas "economy mode" lets the water get cooler than this often.
When the water is cooler th …