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Three of the following are Maxwell relations in some form. Which is the odd one out?

  • A.a derivative of entropy with volume equals one of pressure with temperature
  • B.a derivative of entropy with pressure equals minus one of volume with temperature
  • C.a derivative of temperature with pressure equals one of volume with entropy
  • D.the ideal gas law relating pressure, volume and temperature

Answer: D

The ideal gas law is an equation of state describing a particular idealised substance, while the other three are identities that hold for every substance. Confusing the two categories leads to relations being applied where they do not hold.

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