Ice at 273  K will absorb heat energy or latent heat from the medium to overcome the fusion to become water. Hence the  cooling  effect of  ice  is  more  than the water  at same temperature  because water does not absorb this extra heat from the medium.

There are several reasons why ice is more effective in cooling than water at the same temperature. These reasons are:



One of the main reasons why ice is more effective in cooling than water is due to the latent heat of fusion. Latent heat of fusion is the amount of heat energy required to change a substance from a solid to a liquid state. In the case of ice, it requires a significant amount of heat energy to melt it and convert it into liquid water. Therefore, when ice is used to cool a substance, it absorbs a large amount of heat energy from the substance, which cools it down faster.



Another reason why ice is more effective in cooling than water is due to the specific heat capacity of water. Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius. Water has a high specific heat capacity, which means that it requires a lot of heat energy to increase its temperature. Therefore, when water is used to cool a substance, it absorbs heat energy from the substance at a slower rate than ice.



When ice is used to cool a substance, it undergoes a phase change from a solid to a liquid state. This phase change requires a significant amount of heat energy, which is absorbed from the substance being cooled. Therefore, when ice is used to cool a substance, it not only absorbs heat energy from the substance but also from its surroundings, which makes it more effective in cooling.



In conclusion, ice is more effective in cooling than water at the same temperature due to its latent heat of fusion, specific heat capacity, and phase change. These factors allow ice to absorb heat energy from the substance being cooled at a faster rate, which cools it down faster than water.

At 273k or 0 degree Celsius the ice will give more cooling than water because it can absorb more heat than water due to its latent heat of fusion.