How to Calculate Isothermal Compressibility for Question 6b?

[z_abideen]

Homework Statement

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.

 

[Bystander]

κ_T ≡ -(1/V)(∂V/∂P)_T is given as the definition of isothermal compressibility. You've also been given κ_T = P^-1. Substitute and integrate.

 

[z_abideen]

κ_T ≡ -(1/V)(∂V/∂P)_T is given as the definition of isothermal compressibility. You've also been given κ_T = P^-1. Substitute and integrate.

I tried that but I'm not getting anywhere. do you know how to do it?

 

[Bystander]

Do you know what Boyle's law is? That's where you're trying to go with the integration.

 

[z_abideen]

Do you know what Boyle's law is? That's where you're trying to go with the integration.

is this right?

 

[Bystander]

Very good. Good luck with the exam.

 

[z_abideen]

Very good. Good luck with the exam.

thank you :)