As you read this problem, your brain is consuming about21 W of power. How many s

Question

As you read this problem, your brain is consuming about21 W of power. How many steps with a height of 22 cm must a person withmass 65kg climb to expend a mechanical energy equivalent to onehour of brain operation? A typical human brain, which is 77 % water,has a mass of 1.4 kg. Assuming that the 21 W of brain power isconverted to heat, what temperature rise would you estimate for thebrain in one hour of operation? Ignore the significant heattransfer that occurs between a human head and its surroundings, aswell as the 23% of the brain that is not water. As you read this problem, your brain is consuming about21 W of power. How many steps with a height of 22 cm must a person withmass 65kg climb to expend a mechanical energy equivalent to onehour of brain operation? A typical human brain, which is 77 % water,has a mass of 1.4 kg. Assuming that the 21 W of brain power isconverted to heat, what temperature rise would you estimate for thebrain in one hour of operation? Ignore the significant heattransfer that occurs between a human head and its surroundings, aswell as the 23% of the brain that is not water. A typical human brain, which is 77 % water,has a mass of 1.4 kg. Assuming that the 21 W of brain power isconverted to heat, what temperature rise would you estimate for thebrain in one hour of operation? Ignore the significant heattransfer that occurs between a human head and its surroundings, aswell as the 23% of the brain that is not water.

Explanation / Answer

for an hour the work done is 21*3600=75600J work to be done for each step is 0.22*9.8*65=140.14J number of steps=539.46 steps=540steps total heat for temp raise 75600 for 0.77*1.4=1.078 kgs hence it is 75600/1.078*4200=16.69 degrees

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