Aresearcher studying the nutritional value of a new candy places a 3.60 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. the observed temperature increase is 2.79 ∘ c. if the heat capacity of the calorimeter is 29.60 kj ⋅ k − 1 , how many nutritional calories are there per gram of the candy?

Answer :  The nutritional Calories present per gram of the candy are 5.48 cal/g.

Explanation :

First we have to calculate the heat given off by the combustion of this candy.

where,

q = heat released by the reaction = ?

c = specific heat of calorimeter =

= change in temperature =   (Change in kelvin temperature = Change in Celsius temperature)

Now put all the given values in the above formula, we get:

Now we have to convert heat from kJ to cal.

Conversion used : 1 cal = 4.186 kJ

As, 4.186 kJ heat = 1 cal

So, 84.58 kJ heat =

Now we have to calculate the nutritional Calories are there per gram of the candy.

Amount of nutritional Calories =

Therefore, the nutritional Calories present per gram of the candy are 5.48 cal/g.