A small dog has thick fur with thermal conductivity 0.040 W/(m K). The dog’s metabolism produces heat at a rate of 40 W, and its internal (body) temperature is 38°C. (a) If all this heat flows out through the dog’s fur, what is the outside temperature? Assume the dog has a surface area of and the length of the dog’s hair is 1.0 cm. (b) Now assume it is a hot summer day with an outdoor temperature of 32°C (about 90°F). What is the body temperature of the dog now? Your answer will explain why a dog can quickly overheat on a warm day.
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