Prove expansibility / isothermal compressibility


by Outrageous
Tags: compressibility, expansibility, isothermal, prove
Outrageous
Outrageous is offline
#1
Nov22-12, 05:16 PM
P: 375
β is expansibility , (1/V)(∂V/∂T) at constant temperature
κ is isothermal compressibility , (-1/V)(∂V/∂P) at constant pressure

How to prove (∂P/∂T) at constant V = (β/κ)
Thank you
Phys.Org News Partner Physics news on Phys.org
Better thermal-imaging lens from waste sulfur
Scientists observe quantum superconductor-metal transition and superconducting glass
New technique detects microscopic diabetes-related eye damage
Chestermiller
Chestermiller is offline
#2
Nov22-12, 07:14 PM
Sci Advisor
HW Helper
Thanks
PF Gold
P: 4,435
Quote Quote by Outrageous View Post
β is expansibility , (1/V)(∂V/∂T) at constant temperature
κ is isothermal compressibility , (-1/V)(∂V/∂P) at constant pressure

How to prove (∂P/∂T) at constant V = (β/κ)
Thank you
dV = (∂V/∂T)PdT + (∂V/∂P)TdP

set dV = 0 to evaluate (∂P/∂T)V
Outrageous
Outrageous is offline
#3
Nov22-12, 11:45 PM
P: 375
Quote Quote by Chestermiller View Post
dV = (∂V/∂T)PdT + (∂V/∂P)TdP

set dV = 0 to evaluate (∂P/∂T)V

Understand. Thank you


Register to reply

Related Discussions
Isothermal compressibility of bose-einstein condensate Advanced Physics Homework 3
Finding coefficient of thermal expansion and isothermal compressibility Biology, Chemistry & Other Homework 2
Isothermal compressibility Introductory Physics Homework 0
Isothermal Compressibility always positive proof Classical Physics 4
Isothermal compressibility & Volume expansitivity Classical Physics 2