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Alexandra decides to climb Mt. Krumpett, which is 5000 m high. She determines that this will require a total of 2700 kcal of energy for the trip. For her food supply, she decides to take nutrition bars. The label states that each bar contains 50 g of carbohydrates, 10 g of fat, and 40 g of protein.

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The calories per gram of each substance are:

Protein: 4 calories / gram
Carbohydrates: 4 calories / gram
Fat: 9 calories / gram

So, one bar contains:

50 * 4 + 10 * 9 + 40 * 4
450 calories

If she were to eat only these bars, she will need:

2,700 / 450
= 6 nutrition bars for her climb

The amount of energy present in the food and fuel is called calorific value. The specified quantity gets combusted at a constant pressure under normal conditions.

It is measured in kilojoule per kilogram (KJ/Kg)

The total energy of the food can be calculated by adding the energies from all the contained food components.

  • Energy from 1 gm of carbohydrate = 4.0 kcal/g

       Then, the energy from 50 g of carbohydrate = 50 × 4 kcal/g

       = 200 kcal

  • Energy from 1 gm of fats = 9.0 kcal/g

      Then, the energy from 10 g of fats= 10 × 9 kcal/g

      = 90 kcal

  • Energy from 1 gm of protein = 4.0 kcal/g

       Then, the energy from 40 g of protein = 40 × 4 kcal/g

       = 160 kcal

  • Now add the energy from all the constituents:

      Total energy = 200 kcal + 90 kcal + 160 kcal

  • So, one nutrition bar contains energy = 450 kcal

  • Total energy she needs to climb on the mountain = 2700 kcal

  • So, the number of the nutrition bar she requires to take with her =

        [tex]=\dfrac{2700}{450}[/tex]

       = 6

Therefore, she needs 6 nutrition bars.

To learn more about calorific value refer to the link:

https://brainly.com/question/12724219

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