Aresearcher studying the nutritional value of a new candy places a 5.70 g 5.70 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. the observed temperature increase is 2.14 ∘ c. 2.14 ∘c. if the heat capacity of the calorimeter is 30.30 kj ⋅ k − 1 , 30.30 kj⋅k−1, how many nutritional calories are there per gram of the candy?

2719 cal/g

Explanation:

The heat for a combustion reaction can be calculated by the experiment at the calorimeter by the equation

Q = C*ΔT

Where C is the heat capacity of the calorimeter and ΔT is the temperature variation. The temperature variation in °C is the same in K, so:

Q = 30.30*2.14

Q = 64.842 kJ

1 kJ 0.23900 kcal

64.842 kJ x

x = 15.50 kcal = 15500 cal

So, the nutritional calories per gram are the heat divided by mass:

15500/5.70

2719 cal/g