Question

why cooling effect of ice at 0° more effective than some amount of water at zero degree celsius

Answer 1

cooling effect of ice at 0° more effective than some amount of water at zero degree celsius because water at zero degree has some more amount of energy k/as latent heat which is used for converting state
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Answer 2

because the ice have loosen more heat ( latent heat ) than the water at the same temperature . the particles have less kinetic energy in ice than in water . and the particles posses only translatory motion in ice but in water , the particles posses both : translatory and cicular motion