Energy Calculations Show your calculations. a.) The nutritional calorie is equiv

Question

Energy Calculations Show your calculations.

a.) The nutritional calorie is equivalent to 1 kcal. One pound (1.0 lb) of body fat is equivalent to 4.1 x 10^3 kcal. Express this quantity in joules and kilojoules. Use scientific notation for your answer!

b.) If an athlete expends 1850 kJ/h (kilojoules per hour), how long does he have to excerise to work off 1.0 lb of body fat?

c.) The average amount of calories burned during running is 125 kcal/mile. How many miles does this athlete have to run to burn off 1.0 lb of body fat?

Explanation / Answer

a) 1 lb = 4.1 x 10^3 kcal = 1.71 x 10^4 kJ = 1.71 x 10^7 J

b) Athelete expends 1850 kJ/h.

for 1 lb = 1.7 x 10^4 kJ he would have to excersise = 1.71 x 10^4/1850 = 9.3 h

c) Average cal burned = 125 kcal/mile

So to burn 4.1 x 10^3 kcal the athelete have to run = 4.1 x 10^3/125 = 32.8 mile

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