Page 49 - Instant notes
P. 49

B1
                                THE FIRST LAW



        Key Notes
                                Thermodynamics is the mathematical study of heat and its
                                relationship with mechanical energy and other forms of work. In
                                chemical systems, it allows determination of the feasibility,
                                direction, and equilibrium position of reactions.
                                The sum of all the kinetic and potential energy in a system is the
                                internal energy, U. Because it includes nuclear binding energy,
                                and mass-energy equivalence terms, as well as molecular
                                energies, it is not practical to measure an absolute value of U.
                                Changes in the value of U and its relationship to other
                                thermodynamic quantities are therefore used.
                                If the value of a thermodynamic property is independent of the
                                manner in which it is prepared, and dependent only on the state of
                                that system, that property is referred to as a state function. A path
                                function is a thermodynamic property whose value depends upon
                                the path by which the transition from the initial state to the final
                                state takes place.
                                The energy of an isolated system is constant. An alternative,
                                equivalent expression is that energy may be neither created nor
                                destroyed, although the energy within a system may change its
                                form. It is a result of the first law that energy in an open system
                                may be exchanged with the surroundings as either work or heat
                                but may not be lost or gained in any other manner.
                                Work is energy in the form of orderly motion, which may, in
                                principle, be harnessed so as to raise a weight. The most common
                                forms of work are pressure-volume work and electrical work. The
                                work done by a system against a constant external pressure is
                                given by w=−p ex ∆V. The maximum amount of volume expansion
                                work which a system may accomplish under reversible conditions
                                is given by w=−nRTln(V f /V i ).
                                When a system takes up or gives out energy in the form of heat,
                                the temperature change in the system is directly proportional to
                                the amount of heat. At constant pressure,
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