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4. Your body is a heat engine. Calories are burned, producing heat, which is the

ID: 2036982 • Letter: 4

Question

4. Your body is a heat engine. Calories are burned, producing heat, which is then used to create mechanical work. The temperature inside your body is 37o C. Room temperature is 22o C. Assuming your body operates at an ideal efficiency (it’s pretty close actually), how many Joules must be burned for you to climb 6 stupid flights of stairs in the science building? Assume your mass is 80 kg and your elevation change is 20 m, you ascend at a constant velocity. How much heat does your body emit (infrared radiation) during this process? (Deodorant)

Please help me figure out how to get the answer

Answer: Q = 324053.3 J

Q = 308373.3 J

Explanation / Answer

Total energy required=mgh=15680

Efficiency=(37-22)/(37+273)=0.0488 or 4.88%

Q=(100/4.88)*15680=324053.3

Qradiated out=Q-energy required=308373.3J

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