Question

A researcher studying the nutritional value of a new candy places a 6.10 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.30 °C. If the heat capacity of the calorimeter is 48.10 kJ.K-, how many nutritional Calories are there per gram of the candy? Calories per gram of candy: Cal/g

Answer 1

Given:
C = 48.10 KJ/K = 48.10 KJ/oC
delta T = 2.30 oC

Energy released,
Q = Ccal*delta T
= 48.10 KJ/oC * 2.30 oC
= 110.63 KJ

1 nutritional calorie = 4.184 KJ

Converting this energy to nutritional calorie

Q = 110.63 KJ / 4.184 KJ/Cal
= 26.44 Cal

This is for 6.10 g

so,
nutritional calorie per gram = 26.44 Cal/6.10 g
= 4.33 Cal/g

Answer: 4.33 Cal/g