How to re arrange equation to solve

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SUMMARY

The discussion focuses on rearranging the virial equation, specifically the equation PV/RT = 1 + B/V + C/V², to solve for volume (V). The proposed method involves multiplying the entire equation by V² to eliminate the denominators, resulting in a cubic equation in V. This approach is essential for accurately determining volume in thermodynamic calculations.

PREREQUISITES
  • Understanding of the virial equation of state
  • Familiarity with algebraic manipulation of equations
  • Knowledge of thermodynamic principles
  • Basic skills in solving polynomial equations
NEXT STEPS
  • Study the derivation and applications of the virial equation of state
  • Learn techniques for solving cubic equations in algebra
  • Explore thermodynamic properties related to volume and pressure
  • Investigate the implications of the virial coefficients B and C
USEFUL FOR

Students in thermodynamics, physicists, and engineers who need to manipulate equations for volume calculations in gas laws.

ABR124
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Homework Statement



This is not really a homework question but just need to know how to re arrange the virial equation to solve for volume

Homework Equations



PV/RT = 1 + B/V +C/V2


The Attempt at a Solution



How can I re arrange this equation to solve for V?
 
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First, try to multiply throughout by V^2, in order that V terms are in the numerators. That should give you a cubic equation in V.
 

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