A tank of water has been outdoors in cold weather, and a slab of ice 5.8 cm thick has formed on its surface (Fig. 18-46). The air above the ice is at -14°C. Calculate the rate of formation of ice (in centimeters per hour) on the ice slab. Take the thermal conductivity of ice to be 0.0040 cal/s·cm·C°, its density to be 0.92 g/cm3, and its latent heat of fusion to be 333 kJ/kg. Assume no energy transfer through the tank walls or bottom.

1 answer

Rate of formation of ice = (0.0040 cal/s·cm·C° x 333 kJ/kg x 0.92 g/cm3) / (-14°C) = 0.037 cm/hour