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# A sedentary human body generates about 125 w of power due to normal metabolic

ID: 2107671 • Letter: #

Question



# A sedentary human body generates about 125 w of power due to normal

metabolic processes. assum a person with a body temperatuer of 310k is sitting in a room

with a volum of 50.0m^3 and of apressure of 101 KPa. Dry air under normal conditions has a specific heat of 1005J/kg*k

and a density of 1.20 kg/m^3

1- if room temperatuer is 95k, how long would it take to the person to worm the room up to the body temperatuer ?

assume no air or heat transfer between the room and the surrounding.


2- what will the pressure in the room be onceit reaches body temperatuer ?

assume the air the room acts as ideal gas and again there is no air or heat transfer.

Explanation / Answer

Heat loss from body = 125t. where t= time reqd. in seconds......

heat gained by room = M*Cp*(delta T)= (1.2*50)*1005*(310-95)= 12964500J.....

12964500= 125t implies.... t= 103716seconds. = 28.81 hrs.