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Can the Peng-Robinson EOS be solved explicitly for T?

  1. Apr 19, 2013 #1
    I'm not sure if this is the right forum to ask this question, but it arose as part of an engineering problem, so here goes.

    The Peng-Robinson EOS is as follows:

    [itex]P=\frac{RT}{v-b}-\frac{a[1+k(1-\sqrt{\frac{T}{T_{c}}}]^{2}}{v(v+b)+b(v-b)}[/itex]

    I'm just wondering if this equation can be solved explicity for T. I tried but I had no luck.
     
  2. jcsd
  3. Apr 19, 2013 #2

    gneill

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    Staff: Mentor

    Presumably T is a positive value. Replace T with t2. That'll let you pull it out of the square root. Solve the resulting quadratic for t...
     
  4. Apr 19, 2013 #3
    Okay, I figured it out. Thank you gneill!
     
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