A researcher studying the nutritional value of a new candy places a 5.80-gram sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.93 °C. If the heat capacity of the calorimeter is 38.50 kJ·K–1, how many nutritional Calories are there per gram of the candy?

Answer 1

q = heat released = heat cap x delta T
q = 38.5 kJ/K x 2.93 = approx 113 kJ but you need a better answer than my estimate.
That's approx 113 kJ/5.80 g candy bar = approx 19 kJ/gram.
I would then convert 19 kJ/g to J/g, then to calories (that's with a small c) using 4.184 J/cal then convert to kcal/g (nutritional calorie).