1. The water of lake Michigan freezes over the water surface and snow falling on the ice starts accumulating. On a typical winter day the air temperature is 12C and the temperature of the ice-water interface is 0C. (a) Find the thickness of ice and snow layer if the surface temperature of snow is 6C. [ 20pts ] Snow is very reflective of sunlight with absorptivity of 0.25. Convective heat transfer coefficient of the air is 20W/m2.K. (b) Find the thickness of only ice layer (when all snow transforms to ice) is the absorptivity of ice is 0.7. [15 pts]