A slice of apple pie contains 14.0 grams of fat, 2.00 grams of protein, and 52.0 grams of carbohydrate. The respective fuel values for protein, fat, and carbohydrate are 17, 38, and 17 kJ/g, respectively. If cycling typically burns 1000.0 kJ/hour, __________ minutes of cycling are required to completely burn off the slice of pie.

Question

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Mergus Mergus · Answer 1 · 2019-07-25T07:24:58+02:00

Answer:

87 minutes of cycling are required to completely burn off the slice of pie.

Explanation:

Given:

Mass of fat in one slice of apple pie = 14.0 g

The fuel value for fat= 38 kJ/g

Thus, the fuel value for fat in one slice of apple pie = 14×38 kJ = 532 kJ

Mass of protein in one slice of apple pie = 2.00 g

The fuel value for protein= 17 kJ/g

Thus, the fuel value for protein in one slice of apple pie = 2×17 kJ = 34 kJ

Mass of carbohydrate in one slice of apple pie = 52.0 g

The fuel value for carbohydrate= 17 kJ/g

Thus, the fuel value for carbohydrate in one slice of apple pie = 52×38 kJ = 884 kJ

So,

Total fuel value of one slice of apple pie = 532+34+884 kJ = 1450 kJ

Also,

1000 kJ of fuel is burnt through cycling in 1 hour

1 hour = 60 minutes

So,

1000 kJ of fuel is burnt through cycling in 60 minutes

1 kJ of fuel is burnt through cycling in 60/1000 minutes

1450 kJ of fuel is burnt through cycling in 0.06×1450 = 87 minutes

Thus, 87 minutes of cycling are required to completely burn off the slice of pie.