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Ice cube requires heat to melt.

Water conducts heat well. Therefore the temperature of the environment is absorbed by the water and the some of the distributed heat is taken by the cube and it melts.

Air is an insulator. The only way heat from surroundings can go to the ice cube INSIDE the water bottle is by convection of air currents. But the convection is restricted to some extent by the almost closed water bottle, which has high(compared to cube size) plastic walls (plastic: heat insulator) on all sides and a narrow mouth. Therefore the convection and thus passing of heat to cube from surroundings is slow and this makes the ice melt slower in the empty water bottle.

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15y ago

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