Energy Calculations Show your calculations. The nutritional caloric is equivalen

Question

Energy Calculations Show your calculations. The nutritional caloric is equivalent to 1 kcal. One pound (1.0 lb) of body fat is equivalent to 4.1 Times 10^3 kcal. Express this quantity in joules and kilojoules. Use scientific notation for your answer! If an athlete expends 1850 kJ/h (kilojoules per hour), how long does he have to exercise to work off 1.0 lb of body fat? The average amount of calories burned during running is 125 kcal/mile. How many miles does this athlete have to run to bum off 1.0 lb of body fat?

Explanation / Answer

a) 1 calorie = 4.186 joules

1kcal = 1000x4.186 = 4186 joules

one pound of body fat equivalent 4.1x10^3x4.186 = 1767.75 joules

b) 1.0 lb fat=4.1 x 10^3 kcal

4100 kcal x 4.184 kJ/kcal = 17154 kJ

17154 kJ / 1850 kJ/hr = 9.27 hr

c) since 1.0 b fat = 4.1 x 10^3 kcal

the athlete burns 125 Kcal for every 1 mile

to burn 4.1 x 10^3 K cal the athelete has to run

4.1 x 10^3 Kcal X 1 mile

_____________                 = 32.8 miles

125 K cal

The athlete has to run for 32.8 miles to burn 1.0 lb of body fat

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