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A researcher studying the nutritional value of a new candy places a 4.60 g sample of the candy inside a bomb calorimeter and combusts it in
Question
A researcher studying the nutritional value of a new candy places a 4.60 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.69 ∘ C. If the heat capacity of the calorimeter is 32.20 kJ ⋅ K − 1 , how many nutritional Calories are there per gram of the candy?
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Physics
3 years
2021-09-05T15:37:24+00:00
2021-09-05T15:37:24+00:00 1 Answers
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Answer:
4500.5 nutritional calories per gram
Explanation:
Heat lost by the new candy = heat gained by the bomb calorimeter.
Heat gained by the bomb calorimeter = c×ΔT
where c = heat capacity of the calorimeter = 32.20 KJ/K = 32200 J/K
ΔT = change in temperature = 2.69°C = 2.69 K.
Heat gained by the bomb calorimeter = 32200 × 2.69 = 86618 J
Heat lost by the new candy = heat gained by the bomb calorimeter = 86618 J = 20702.2 calories
4.60 g of the new candy lost this amount of calories by undergoing combustion,
The amount of calories per g = 20702.2 calories/4.6 g = 4500.5 calories per gram