On a clear night, when the effective blackbody temperature of space is -70°C, the air is at 15°C and contains water vapor at a partial pressure equal to that of ice or liquid water at 0°C. A very thin film of water, initially at 15°C, is placed in a very shallow well-insulated pan, placed in a spot sheltered from the wind with a full view of the sky. If h_c = 2.6 W/m²·°C, state whether ice will form, supporting the conclusion with suitable calculations.