Aleia has a water bottle whose water has gotten pretty warm. She drops ten -13 degree Celcius ice cubes of edge length 13mm in the water to cool it down. Ultimately the ice melts into water and comes to equilibrium with the surrounding water in the bottle at 50 degree Faranheit. The whole process leading to this equilibrium state takes 10 min. At what rate in watts is heat flowing to the ice as it melts and then ultimately warms up and comes to equilibrium with the water in the bottle? We assume for simplicity that this rate remains constant throughout all the processes described. The density of ice is about 917 kg/m^ 3. Note that the specific heat of ice is 2090 J/(kgK), the latent heat of fusion of water is 334, 000 J/kg, and the specific heat of liquid water is 4184]/(kgK).