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As the kinetic energy is more in solids coolness is much in ice as compared to water.it is also due to heat of fusion which is greater in ice than in water.

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It is so because, ice has a significant heat of fusion while water has only 1 calorie per gram per degree c specific heat.Therefore, as a result ice absorbes more heat to increase it's tempture than water at 0 degress c.
so, we can say, ice is more effective in cooling than water.
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