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The exergy (or availability) of a system at a specified state

  • A.depends on the conditions of the system alone
  • B.depends on the conditions of the environment alone
  • C.depends on the conditions of both the system and environment
  • D.depends neither on the conditions of the system nor the environment

Answer: C

Exergy depends on the conditions of both the system and environment.

Exergy is the maximum useful work obtainable as a system is brought into equilibrium with its surroundings (the dead state). For a closed system,

\[ \begin{aligned} \phi &= (u - u_{0}) + p_{0}(v - v_{0}) \\ &\quad - T_{0}(s - s_{0}) + \frac{V^{2}}{2} + gz \end{aligned} \]

which contains both the system's state and the environment's \(T_{0}\) and \(p_{0}\). A hot block of metal has more exergy in a cold environment than in a warm one, and none at all when it is at the environment's temperature and pressure.

So it is not a property of the system alone, nor of the environment alone.

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