Even at rest, the human body generates heat. The heat

Chapter , Problem 95

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Even at rest, the human body generates heat. The heat arises because of the bodys metabolismthat is, the chemical reactions that are always occurring in the body to generate energy. In rooms designed for use by large groups, adequate ventilation or air conditioning must be provided to remove this heat. Consider a classroom containing 200 students. Assume that the metabolic rate of generating heat is 130 W for each student and that the heat accumulates during a fi fty-minute lecture. In addition, assume that the air has a molar specifi c heat of CV 5 5 2 R and that the room (volume 5 1200 m3 , initial pressure 5 1.01 3 105 Pa, and initial temperature 5 21 C) is sealed shut. If all the heat generated by the students were absorbed by the air, by how much would the air temperature rise during a lecture?

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