Question

The body is designed to maintain a constant temperature of about 37 °C under normal healthy re is lower (say 25 °C), there must be a continuous heat 1 from the body. This heat loss can be modeled as oss A(T-T) T is the body temperature, Ta is the room temperature, A is the body surface area (assume 1.73 m2). The heat transfer coefficient h is 4.09 W/(m2 C). Note that Qross <0. Because of the continuous heat loss, the body must generate heat to maintain its temperature. Write an energy balance on the body under these normal healthy conditions. Determine the heat generated by your body in kcal/day. Discuss whether the result obtained is aligned with your expectations. a. b. c. In a patient with a fever, the rate of heat generated by the body, QGEy , is estimated as 150 W. As a result, body temperature increases over time. Write an energy balance on the body during the fever. (Hint: the net heat generation is QGEN+1oss) Calculate the time (in minutes) required for the body of the patient with a fever to reach the critical temperature of 41 °C. Assume that the body mass is 70 Kg and the heat capacity is 3,600 J/(Kg °c). d.

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Answer #1

Giventhat human boaty Temp CT) Tc3lo k heas - energs balance as cue tno Heat gene satedHeot Heat in human body Siote in losteneogy genenaded b body Qs- eneg Stobed in bodly Leneg ost by boly due to tem Pe dit4 evence blu body and Subao undings b) eo409 X113 (310 298) - 84.9 Was Enengy los inday is ss lass Lss X Time 133G85. -1533 K cal Eless-1353. 3 кса, [d 24 x60 K60 = 04 hese on ConVection losses S ConSideca,hich IS 8-10% losses et total heat less oomunan body ) enengy balance coith heod eneaheat x Temp Capactt body to each body 70 x 360 C41-34) Heat/eneogy lost by oodly 3om 4ic-15C 4.09 x 1.73(41-25) 113.2 Watt. CCaseit lostis not ConSidesed In this ase qgen is Gnly Desponsible 2 士ニ 112 mins

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