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As you read this problem, your brain is consuming about 22
Chapter 16, Problem 74GP(choose chapter or problem)
Problem 74GP
As you read this problem, your brain is consuming about 22 W of power, (a) How many steps with a height of 21 cm. must you climb to expend a mechanical energy equivalent to one hour of brain operation? (b) A typical human brain, which is 77% water, has a mass of 1.4 kg. Assuming that the 22 W of brain power is converted to heat, what temperature rise would you estimate for the brain in one hour of operation? Ignore the significant heat transfer that occurs between a human head and its surroundings, as weil as the 23% of the brain that is not water.
Questions & Answers
QUESTION:
Problem 74GP
As you read this problem, your brain is consuming about 22 W of power, (a) How many steps with a height of 21 cm. must you climb to expend a mechanical energy equivalent to one hour of brain operation? (b) A typical human brain, which is 77% water, has a mass of 1.4 kg. Assuming that the 22 W of brain power is converted to heat, what temperature rise would you estimate for the brain in one hour of operation? Ignore the significant heat transfer that occurs between a human head and its surroundings, as weil as the 23% of the brain that is not water.
ANSWER:
Step 1 of 3
The brain consumes energy at a rate of every second. We wish to compare this energy consumption over a full hour to the energy consumed by climbing stairs.
a) We can calculate the number of steps that must be climbed to expend mechanical energy equivalent to one hour of brain operation. First, we convert the power output of the brain in one hour to joules.