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Multiple Choice
An athlete is training for a marathon. Every mile that the athlete runs, an average of 117.5 kcal of energy is expanded. How many moles of ATP would the athlete burn during a full marathon (26.2 mi)? Use conversion factor: 1 mole ATP = 7.3 kcal.
A
22.47 moles ATP
B
4.22 x 105 moles ATP
C
22,473 moles ATP
D
421.7 moles ATP
Verified step by step guidance
1
First, calculate the total energy expended by the athlete during the marathon by multiplying the energy expended per mile by the total number of miles: \( 117.5 \text{ kcal/mile} \times 26.2 \text{ miles} \).
Next, determine the total energy in kilocalories (kcal) that the athlete expends over the entire marathon distance.
Use the conversion factor provided to convert the total energy expended from kilocalories to moles of ATP. The conversion factor is \( 1 \text{ mole ATP} = 7.3 \text{ kcal} \).
Set up the conversion by dividing the total energy in kilocalories by the energy per mole of ATP: \( \text{Total kcal} \div 7.3 \text{ kcal/mole ATP} \).
Finally, calculate the number of moles of ATP used by the athlete during the marathon using the conversion from the previous step.