1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to express van der waals equation as virial expansion?

  1. Feb 7, 2009 #1
    1. The problem statement, all variables and given/known data

    Express the van der Waals equation of state as a virial expansion in powers of
    1/Vm and obtain expressions for B and C in terms of the parameters a and b.
    (Hint. The expansion you will need is (1–x) -1 = 1+x+x2+... . Series expansions
    are discussed in Appendix 2 of Atkins.)
    Measurements on argon gave B=-21.7 cm3.mol-1 and C=1,200 cm6.mol-2 for the
    virial coefficients at 273 K. What are the values of a and b in the corresponding
    van der Waals equation of state?



    2. Relevant equations
    Van der waals equation of state : ( p + a / V^2 ) ( V-b ) = RT


    3. The attempt at a solution
    Apparently this question is very common and found throughout the web. But I couldn't find any solution. I don't even know how to begin with expressing ;(
    please help. thanks.
     
  2. jcsd
  3. Feb 7, 2009 #2
    Solve for P giving you a term containing

    [tex]\frac{1}{V_m-b}[/tex]

    Factor out Vm then use the hint.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to express van der waals equation as virial expansion?
Loading...