The change in enthalpy of a chemical reaction conducted at constant pressure is equal to the heat of the reaction plus the nonexpansion work of the reaction, ?H = qP + w[subscript additional]. After deriving that relationship, most general and physical chemistry textbooks set w[subscript additional] = 0 to arrive at the claim that ?H = qP, and nearly all further discussion of enthalpy assumes that ?H = qP. Setting w[subscript additional] = 0 is viable for spontaneous reactions, but for nonspontaneous reactions, wadditional ? 0 as a consequence of the second law of thermodynamics. Therefore, ?H ? qP for nonspontaneous reactions. Moreover, nonexpansion work is important for many interesting and important spontaneous reactions in biology (e.g., muscular movement, nerve signal transmission) and in modern society (e.g., batteries); incorporating w[subscript additional] into ?H allows for a more accurate discussion of the energy flow in these reactions. In this paper, I show that ?H ? qP for nonspontaneous reactions, and I discuss how ?H must be partitioned between qP and w[subscript additional] for several kinds of reactions according to the second law of thermodynamics. Finally, I suggest how the discussion of enthalpy could be corrected in general and physical chemistry textbooks.