The human brain consumes about 23.7 W of power under normal conditions, though more power may be required during exams. How long can one candy bar (332 Calories per bar) power the normally functioning brain? (Note: The nutritional Calorie is equivalent to 1000 calories (1 kcal) as defined in physics; 1 kcal = 4186 J).

Question

The human brain consumes about 23.7 W of power under normal conditions, though more power may be required during exams. How long can one candy bar (332 Calories per bar) power the normally functioning brain? (Note: The nutritional Calorie is equivalent to 1000 calories (1 kcal) as defined in physics; 1 kcal = 4186 J).

Answer 1

To find out how long a candy bar can power the brain, we need to convert the energy provided by the candy bar into watts and then divide it by the brain's power consumption.

First, we need to convert the calories in the candy bar into joules. As mentioned, 1 nutritional Calorie is equivalent to 4186 joules. So, for a candy bar with 332 Calories, the total energy provided is:

332 Calories × 4186 J/Calorie = 1,388,552 J

Now, to find out how long this energy can power the brain, we'll divide it by the brain's power consumption. The brain consumes 23.7 watts under normal conditions. However, we need to convert watts to joules:

23.7 watts × 1 second = 23.7 joules

Now we can calculate the total time the candy bar can power the brain by dividing the energy provided by the brain's power consumption:

1,388,552 J ÷ 23.7 J = 58,589.8 seconds

Therefore, one candy bar can power the normally functioning brain for approximately 58,590 seconds.

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To find out how long a candy bar can power the brain, we need to convert the energy provided by the candy bar into watts and then divide it by the brain's power consumption.