A researcher studying the nutritional value of a new candy places a 6.40-gram sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.32 °C. If the heat capacity of the calorimeter is 33.10 kJ·K–1, how many nutritional Calories are there per gram of the candy?

Question

aaronq · Answer

look at the units of the heat capacity, their not specifying mass. so the typical "$q=m*C_p\Delta T$" formula is reduced to "$q=C_p*\Delta T$". So find q (heat energy), convert it to the specified units (calories) and divide it by the mass of the candy to get "calories per gram".

anonymous · Answer

Thanks, that worked!
I just had to plug in the correct conversion factor.
2.32˚C(33.10kj•K-1)=76.79
76.79/4.184=18.35
18.35/6.4=2.87Cal/g