it doesnt have to be a chemical reaction to be exo or endothermic. anything which loses heat is exothermic. Traditionally it's for chemical reactions and certain physical processes, but there's nothing wrong with using it for hell.
However as you said it isn't a true story. You said that a good professor only gives marks for a good answer, Another thing that needs to be said is that a good professor doesn't ask dumb questions in their exams. Because of the nature of hell (unproven, part of a system of belief and fairly undefined), the question can only be answered subjectively.