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Feb
12
comment Which will keep my food colder longer, draining the melted ice water, or leaving it in the cooler?
The graph is the amount of energy in the coolers, not the temperature. The energy increases as the temperature stays the same because energy goes into melting ice. You are also assuming that the whole cooler is the same temperature. The whole point is that different parts of the cooler are different temperatures (the wall vs. the area immediately around the ice) and water is better at bringing that heat from the wall to the ice than air is.
Feb
12
comment Which will keep my food colder longer, draining the melted ice water, or leaving it in the cooler?
At meltB there is less heat energy in cooler B than in cooler A, and there is NO ice because there is quite a bit of rather cool water.