Enthalpy pertains to reactions in open systems. To be truthful, enthalpy does not directly pertain to the energy of a chemical reaction, the PV which shrumeo mentioned relates to a separate work function...that is when a exothermic chemical reaction occurs, the energy can be used to change the internal energy U as well as expand against the atmosphere PV.
The energy of a specific chemical reaction is constant, and in most cases PV is considered negligible. Think bond energies.
Thus the enthalpy of the reaction does not change, rather different amounts of energy is released at different temperature and pressure since these two factors influence how many of such individual reactions take place.
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