Humans are able to control their heat production rate and heat loss rate to maintain a nearly constant core temperature of Tc=37C under a wide range of environmental conditions. This process is called thermoregulation. From the perspective of calculating heat transfer between a human body and its surroundings, we focus on a layer of skin and fat, with its outer surface exposed to the environment and its inner surface at a temperature slightly less than the core temperature, Ti=35C=308K. Consider a person with a skin/fat layer of thickness L=3mm and effective thermal conductivity k=0.3W/mK. The person has a surface area A=1.8m2 and is dressed in a bathing suit. The emissivity of the skin is =0.95 1. When the person is in still air at T=297K, what is the skin surface temperature and rate of heat loss to the environment? Convection heat transfer to the air is characterized by a free convection coefficient of h=2W/m2K