You just saw that the heat capacity of ice is C_{s, ice} = 2.09 J/g · °C and that 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 of the following plays a greater role in cooling the liquid water: the warming of the ice from -10 °C to 0 °C, or the melting of the ice?

(a) The warming of the ice from -10 °C to 0 °C 

(b) The melting of the ice