Texts: Blackbody Radiation HW Problem using Wien's Displacement Law & Stefan's Law
The human body acts as a nearly perfect blackbody with emissivity e=0.97. The energy given off as thermal radiation is produced by metabolizing the food we eat.
a.) Using the same body surface area and temperature assumed in Problem 20 of Chapter 3 in the book, calculate the total energy in kilocalories given off by a typical human body in a single 24-hour period. How does this compare to the typical dietary requirements for a human being? (Note: 1 kilocalorie is the same as 1 dietary Calorie).
b.) Not all the thermal energy we emit comes from our metabolism. We also receive energy from our environment. Assuming that the environment around us is a perfect blackbody (e=1.0) at room temperature 20°C, how much energy in kilocalories do we receive each day?
c.) Using the results from a. and b., how much net thermal energy does a typical human give off each day? How does this compare to typical dietary requirements? Based on these calculations, do our dietary needs vary with the seasons (e.g., summer vs. winter)? (25 points)