How to Calculate Isothermal Compressibility for Question 6b?

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Discussion Overview

The discussion revolves around calculating isothermal compressibility as part of a homework problem, specifically question 6b from a past exam paper. Participants explore the definition and application of isothermal compressibility in the context of the problem.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses uncertainty about how to approach question 6b, indicating a lack of understanding of the topic.
  • Another participant provides the definition of isothermal compressibility, κT ≡ -(1/V)(∂V/∂P)T, and mentions a relationship κT = P-1, suggesting substitution and integration as a method to solve the problem.
  • A participant attempts to apply the suggested method but reports difficulty in progressing with the solution.
  • Another participant references Boyle's law, implying its relevance to the integration process needed for the problem.
  • There is a repetition of the question about Boyle's law, indicating a focus on its importance in the context of the discussion.
  • Several participants offer encouragement regarding the exam, indicating a supportive atmosphere.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the solution to the problem, as participants express varying levels of understanding and difficulty with the concepts involved.

Contextual Notes

Some participants may be missing foundational knowledge about isothermal compressibility and its relationship to Boyle's law, which could affect their ability to solve the problem effectively.

Who May Find This Useful

Students preparing for exams in thermodynamics or related fields, particularly those needing clarification on isothermal compressibility and its calculations.

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Warned for lack of effort. Please note that we require students to provide their attempted solutions.

Homework Statement



IMG_2430_zps1e923162.jpg

Homework Equations


No idea...

The Attempt at a Solution


Does anyone know how to do question 6b)? Its a past paper question for an exam in 2 days and i have literally no idea where to start.
 
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κT ≡ -(1/V)(∂V/∂P)T is given as the definition of isothermal compressibility. You've also been given κT = P-1. Substitute and integrate.
 
Bystander said:
κT ≡ -(1/V)(∂V/∂P)T is given as the definition of isothermal compressibility. You've also been given κT = P-1. Substitute and integrate.
I tried that but I'm not getting anywhere. do you know how to do it?
 
Do you know what Boyle's law is? That's where you're trying to go with the integration.
 
Bystander said:
Do you know what Boyle's law is? That's where you're trying to go with the integration.
10846279_1014651568551545_856671038940046698_n_zps375c41f6.jpg


is this right?
 
Very good. Good luck with the exam.
 
Bystander said:
Very good. Good luck with the exam.
thank you :)
 

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