   Chapter 5, Problem 55P

Chapter
Section
Textbook Problem

Under normal conditions the human heart converts about 13.0 J of chemical energy per second into 1.30 W of mechanical power as it pumps blood throughout the body. (a) Determine the number of Calories required to power the heart for one day, given that 1 Calorie equals 4 186 J. (b) Metabolizing 1.00 kg of fat can release about 9.00 × 103 Calories of energy. What mass of metabolized fat would power the heart for one day?

(a)

To determine
The number of calories that is required to power the heart for one day.

Explanation

Given Info:

The heart converts 13.0J of chemical energy to 1.30W of mechanical power per second.

1calorie is 4186J l

Formula to calculate the number of calories required to power the heart for one day is,

Et=Et

• E is the energy required per second
• t is time in second

The number of seconds in a year is 8.64×104s .

Substitute 13.0J for E and 8.64×104s for t to find the number of calories required,

Et=(13

(b)

To determine
The mass of metabolized fat that can power the heart for 1 day.

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