What process is involved in releasing stored energy from the stored fuel molecules?

Cellular respiration is the process by which the chemical energy of "food" moleculesis released and partially captured in the form of ATP. Carbohydrates, fats, and proteins can all be used as fuels in cellular respiration, but glucose is most commonly used as an example to examine the reactions and pathways involved. 

And a) oxygen i believe

Ibelieve its because the stove is a cleaner burning fuel