6.7.5. While you sleep, your body is using energy at a rate of 77 W. How many food calories are used during an eight hour period

6.38×10¯⁴ Calorie.

Explanation:

The following data were obtained from the question:

Power (P) = 77 W

Time (t) = 8 h

Energy (E) =.?

Next, we shall convert 8 hours to seconds. This can be obtained as follow:

1 h = 3600 s

Therefore,

8 h = 8 h × 3600 s / 1h

8 h = 28800 s

Next, we shall determine the energy. This can be obtained as follow:

Power (P) = 77 W

Time (t) = 28800 s

Energy (E) =.?

Energy (E) = Power (P) / time (t)

E = P/t

E = 77 /28800

E = 2.67×10¯³ J

Finally, we shall convert 2.67×10¯³ J to calorie. This can be obtained as follow:

4.184 J = 1 calorie

Therefore,

2.67×10¯³ J = 2.67×10¯³ J × 1 Cal / 4.184 J

2.67×10¯³ J = 6.38×10¯⁴ Calorie.

Therefore, 6.38×10¯⁴ Calorie of food is used during the 8 hours period.

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