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Availability and Exergy
Many of the analyses performed by engineers are based on the First Law of Thermo-
dynamics, which is a law of energy conservation. Most mechanical engineers use the
Second Law of Thermodynamics simply through its derived property - entropy ( S ) .
However, it is possible to introduce other ‘Second Law’ properties to define the maximum
amounts of work achievable from certain systems. Previously, the properties Helmholtz
energy ( F ) and Gibbs energy ( G )were derived as a means of assessing the equilibrium of
various systems. This section considers how the maximum amount of work available from
a system, when interacting with surroundings, can be estimated. This shows, as expected,
that all the energy in a system cannot be converted to work: the Second Law stated that it
is impossible to construct a heat engine that does not reject energy to the surroundings.
2.1 Displacementwork
The work done by a system can be considered to be made up of two parts: that done
against a resisting force and that done against the environment. This can be seen in Fig 2.1.
The pressure inside the system, p, is resisted by a force, F , and the pressure of the
environment. Hence, for System A, which is in equilibrium with the surroundings
p A = F + p d (2.1)
where A is the area of cross-section of the piston.
Svstem A
Fig. 2.1 Forces acting on a piston
If the piston moves a distance dx, then the work done by the various components shown
in Fig 2.1 is
pA d x = F d x + p J dx (2.2)
where PA dx =p dV = SW,,, = work done by the fluid in the system, F dx = SW,,
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