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Review of basic thermodynamics

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Title: Review of basic thermodynamics


1
Review of basic thermodynamics
2
Postulates of thermodynamicsI
  • There exist particular states -- equilibrium
    states -- of simple systems that are
    characterized completely by the internal energy
    U, the volume V, and the mole numbers N_k of the
    chemical components

3
Postulates of thermodynamicsII
  • There exists a function called the entropy, S, of
    the extensive parameters of any composite system,
    defined for all equilibrium states and having the
    following property. The values assumed by the
    extensive parameters in the absence of any
    internal constraint are those that maximise the
    entropy over the manifold of constrained
    equilibrium states

4
Postulates of thermodynamicsIII
  • The entropy of a composite system is additive
    over the constituent subsystems. The entropy is
    continuous and differentiable and is a
    monotonically increasing function of the energy

5
Postulates of thermodynamicsIV
  • The entropy of any system vanishes at absolute
    zero

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Pressure in the deep Earth
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Temperature variation in the deep Earth
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Blueolivine, greenMgO, orangeforsterite,
blackAl2O3, browngrossular, purplepyrope,
redCaO
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