Derivation of the equilibrium saturation ratio equation?

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SUMMARY

The discussion centers on deriving the equilibrium saturation ratio equation, specifically S=1+(a/r)-(b/r^3). Participants aim to find the values of r as r=sqrt(3b/a) and S=1+sqrt((4a^3)/(27b)). The equation 0=(3b/r^4) - (a/r^2) is presented as part of the solution attempt. The conversation highlights the need for clarity on the steps involved in solving this equation.

PREREQUISITES
  • Understanding of algebraic manipulation and equations
  • Familiarity with the concepts of saturation ratios in thermodynamics
  • Knowledge of square roots and their properties
  • Basic skills in solving polynomial equations
NEXT STEPS
  • Study the derivation of the equilibrium saturation ratio in thermodynamic contexts
  • Learn about polynomial equation solving techniques
  • Explore the implications of saturation ratios in physical chemistry
  • Review algebraic manipulation strategies for complex equations
USEFUL FOR

Students in thermodynamics, chemical engineering, and anyone involved in mathematical modeling of saturation phenomena will benefit from this discussion.

DM1984
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Homework Statement



S=1+(a/r)-(b/r^3)

Homework Equations



need to find r=sqrt(3b/a) and S=1+ sqrt((4a^3)/(27b))) from a derivation of the above formula in #1.

The Attempt at a Solution



0=(3b/r^4) - (a/r^2)
 
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DM1984 said:

Homework Statement



S=1+(a/r)-(b/r^3)

Homework Equations



need to find r=sqrt(3b/a) and S=1+ sqrt((4a^3)/(27b))) from a derivation of the above formula in #1.

The Attempt at a Solution



0=(3b/r^4) - (a/r^2)

So, what is preventing you from solving this equation?

RGV
 

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