Virial expansion of van der Waals equation

  • Thread starter winterwind
  • Start date
  • #1
29
0

Homework Statement


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. The expansion you will need is

(1-x)-1 = 1 + x + x2 + ...

Measurements on argon gave B = -2.17 cm3 mol-1 and C = 1200 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?


Homework Equations


van der Waals equation: p = nRT/(V-nb) - a(n/V)2


The Attempt at a Solution


Not sure how to approach this...

Thanks! This pset is due tomorrow morning so please help! :(
 

Answers and Replies

  • #2
Borek
Mentor
28,816
3,321
[tex]V-nb = V(1-\frac{nb}{V})[/tex]

and now you can treat (1-nb/V) as (1-x).

--
 

Related Threads on Virial expansion of van der Waals equation

Replies
1
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
0
Views
3K
  • Last Post
Replies
1
Views
8K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
3
Views
9K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
4K
Top