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Let's assume it's a pound of apple juice (around a pint) and that we can, for all practical purposes, treat apple juice as if it were water. In that case, raising the temperature from 34 degrees to 110 degrees would require 76 BTUs, so to go in the reverse direction we would need to remove 76 BTUs of energy from the material.

How much power it would require to do this would depend upon the efficiency of the refrigeration device used.

In short, you've asked a question that has a lot of holes in it, so it's not possible to give you a numerical answer, unless that "76 BTUs" is what you were looking for (in which case you didn't really ask the right question).

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Q: How many btu's are need to cool apple juice from 110 f to 34 f?
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