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Above the critical temperature a cubic equation of state gives

  • A.one real root and two complex roots
  • B.three real and distinct roots
  • C.no real roots at all
  • D.two real roots that are always equal

Answer: A

There is only one fluid phase above the critical temperature, so only one physically meaningful volume can exist at a given pressure. The mathematics reflects the physics directly. Below the critical temperature the extra roots reappear.

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