$1\mathrm{.}24$ Under conditions for which the same room temperature is maintained by a heating or cooling system, it is not uncommon for a person to feel chilled in the winter but comfortable in the summer. Provide a plausible explanation for this situation $($with supporting calculations$)$ by considering a room whose air temperature is maintained at $20C$ throughout the year, while the walls of the room are nominally at $27C$ and $14C$ in the summer and winter, respectively. The exposed surface of a person in the room may be assumed to be at a temperature of $32C$ throughout the year and to have an emissivity of $0\mathrm{.}90.$ The coefficient associated with heat transfer by natural convection between the person and the room air is approximately $2\frac{W}{m^2}*K.$