Question

A human body while sleeping generates about 300 BTUs of body heat per hour. If two people are sleeping in a bedroom that is 15 ft × 12 ft × 10 ft, how many BTUs per cubic foot do they produce in 7 hours? (to the nearest tenth) A) 0.2 BTUs/ft3 B) 1.2 BTUs/ft3 C) 1.5 BTUs/ft3 D) 2.3 BTUs/ft3

Answer 1

Given:
one person can produce:
E = 300 BTUs of body heat per hour
dimensions of the bedroom is:
V = 15 ft × 12 ft × 10 ft

required: is the energy per volume if 2 persons sleeps in 7 hours
let T be the total energy produce per volume

T = (300 BTU per hour per person) ( 7 hours) ( 2 person) / (  15 ft × 12 ft × 10 ft)

T = 2.3 BTU / ft^3