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When a small ice cube at -10 c is put into a cup of water

The specific heat capacity of ice is Cs,ice = 2.09 J/g⋅°C and the heat of fusion of ice is 6.02 kJ/mol. When a small ice cube at -10 °C is put into a cup of water at room temperature, which plays a larger role in cooling the liquid water: the warming of the ice from -10 °C to 0 °C, or the melting of the ice?

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Chemistry: When a small ice cube at -10 c is put into a cup of water

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