Seems like the one match part is irrelevant, since you could light a splint or something from one fire and light the other. But, try to light a piece of charcoal with a match! (You need lighter fluid!) So I think the question just wants to know which combustion will produce the most energy, the combustion of one mole of propane or one mole of carbon. All you have to do is compare DH° for the following reactions:
C3H8 (g) + 5 O2 (g) ---> 3 CO2 (g) + 4 H2O (g)
and
C (s, graphite) + O2 (g) ---> CO2 (g)
Steve
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