# An exothermic reaction releases 86.5 kJ. How many kilocalories of energy are released?

May 9, 2017

$1 \text{ kJ"=0.239" kcal}$

$86.5 \text{ kJ"=86.5*0.239=20.7" kcal}$

#### Explanation:

This problem is just a unit conversion, so you need to know the definition of a calorie. A calorie is a unit of energy equal to 4.184 J. This is the energy required to heat up one gram of water by one degree celsius at a pressure of one atmosphere. If 1 cal = 4.184 J, then 1000 cal = 4184 J.
Therefore:

$1 \text{ kcal"=4.184" kJ}$

Divide both sides by 4.184 to get kJ in terms of kcal.

$1 \text{ kJ"=0.239" kcal}$

Now you have your conversion factor and just need to multiply both sides by 86.5.

$1 \cdot 86.5 \text{ kJ"=0.239*86.5" kcal}$

$86.5 \text{ kJ"=20.7" kcal}$