You are outside a vacation cabin in Alaska where the outdoor temperature is -20°C. You left a bottle of water outside when you go back to the house. You had the bottle in the inside pocket of your jacket so the temperature of the water is 20°C when you left it outside. The bottle is 20.0cm high and it has a diameter of 6.0 cm. How long does it take for the 100.0 g water to become ice? The emissivity of the bottle is 0.8. Assume the only heat transfer between the can and the surrounding air is by radiation.