A person weighing 70 kg eats exclusively rabbit meat during the day and consumes 80 kcal of energy with it per 1 kg of his body weight. Rabbits only eat carrots. The dry matter content of carrots is 20%, the dry matter is 70% carbohydrates. When 1 g of carbohydrates are oxidized in the cell, 4 kcal of energy are released. Using Lindemann’s rule, calculate how many (kg) raw carrots should be fed to rabbits in order to get the required amount of rabbit meat for human nutrition during the day.
1) Let’s calculate how much energy a person weighing 70 kg receives from rabbits:
per 1 kg of mass 80 kcal per 70 kg – x kcal x = 5600 kcal
2) Let’s calculate how much rabbits consume when eating carrots (according to Lindemann’s rule):
5600 kcal • 10 = 56 000 kcal
3) Let’s calculate the amount of carbohydrates (in grams) containing this energy:
1 g releases during oxidation 4 kcal x g – 56,000 kcal x = 14,000 g = 14 kg of carbohydrates.
4) Calculate by the amount of carbohydrates the dry matter mass of carrots (in kg):
14 kg corresponds to 70% x kg – 100%
x = 20 kg dry matter.
5) Calculate the mass of carrots by the amount of dry matter (in kg):
20 kg corresponds to 20% x kg – 100% x = 100 kg of carrots.
Answer: 100 kg.
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