During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f t × 25 ft × 12 ft lifting weights, how many BTUs per cubic foot do they produce in 3 hours? (to the nearest tenth) A) 2.8 BTUs/ft3 B) 8.4 BTUs/ft3 C) 33.7 BTUs/ft3 D) 100.8 BTUs/ft3
1 answer:
By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows: Given: Energy per time = 2400 BTU/hr time period = 3 hrs number of subjects = 7 Measurement of the weights = <span>20 ft × 25 ft × 12 ft The energy produced for 3 hours would be: 2400 BTU/hr ( 3hr) = 7200 BTU Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3 Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3 However, we have 7 bodybuilders producing this amount therefore, Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3 </span>
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