Van der Waals Equation, Virial Expansion

  • #1
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Homework Statement



Taken from Concepts in thermal Physics:

depeu8.png



Homework Equations





The Attempt at a Solution



Shouldn't the van der waal's equation be:

[tex]p = \frac{RT}{V_m -b} - \frac{a}{V_m^2}[/tex]
[tex]pV_m = \frac{VRT}{V_m -b} - \frac{a}{V_m}[/tex]
 

Answers and Replies

  • #2
TSny
Homework Helper
Gold Member
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Shouldn't the van der waal's equation be:

[tex]p = \frac{RT}{V_m -b} - \frac{a}{V_m^2}[/tex]

Yes. So (26.41) has a wrong sign. But it looks like they got it right in (26.42) and (26.43).
 
  • #3
21,158
4,672

Homework Statement



Taken from Concepts in thermal Physics:

depeu8.png



Homework Equations





The Attempt at a Solution



Shouldn't the van der waal's equation be:

[tex]p = \frac{RT}{V_m -b} - \frac{a}{V_m^2}[/tex]
[tex]pV_m = \frac{VRT}{V_m -b} - \frac{a}{V_m}[/tex]

You're right. It sure looks like they made a slew of algebra mistakes. The first term on the right hand side of 26.41 isn't even dimensionally correct.

Chet
 
  • #4
TSny
Homework Helper
Gold Member
13,096
3,416
You're right. It sure looks like they made a slew of algebra mistakes. The first term on the right hand side of 26.41 isn't even dimensionally correct.

Chet


Right. I didn't notice that they should not have had the factor of V on the left side of equation 26.41.
 

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