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B2
                                    ENTHALPY



        Key Notes
                                Enthalpy, H, is defined by the relationship H=U+pV. The
                                enthalpy change, ∆H, for finite changes at constant pressure is
                                given by the expression ∆H=∆U+p∆V, so making the enthalpy
                                change for a process equal to the heat exchange in a system at
                                constant pressure. For a chemical system which releases or
                                absorbs a gas at constant pressure, the enthalpy change is related
                                to the internal energy change by ∆H=∆U+∆n.RT, where ∆n is the
                                molar change in gaseous component.
                                Enthalpy is a state function whose absolute value cannot be
                                known. ∆H can be ascertained, either by direct methods, where
                                feasible, or indirectly. An increase in the enthalpy of a system,
                                for which ∆H is positive, is referred to as an endothermic
                                process. Conversely, loss of heat from a system, for which ∆H
                                has a negative value, is referred to as an exothermic process. The
                                enthalpy change arising from a temperature change at constant
                                pressure is given by the expression ∆H=C p ∆T, providing that C p
                                does not appreciably change over the temperature range of
                                interest. Where C p  does change, the integral form of the equation,

                                                 , is used. In a chemical reaction, the
                                enthalpy change is equal to the difference in enthalpy between
                                the reactants and products:
                                            ∆H Reaction =ΣH (Products) −ΣH (Reactants) .
                                The value of ∆H for a reaction varies considerably with
                                temperature. Kirchhoff's s equation, derived from the properties
                                of enthalpy, quantifies this variation. Where C p  does not
                                appreciably change over the temperature range of interest, it may
                                be expressed in the form ∆H T2 −∆H T1 =∆C p ∆T, or as


                                                           where ∆C p  is a function of
                                temperature.
         Related topics         The first law (B1)     Entropy and change (B5)
                                Thermochemistry (B3)   Free energy (B6)

                                Entropy (B4)           Statistical thermodynamics (G8)
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