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Prove expansibility / isothermal compressibility

 
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Nov22-12, 05:16 PM   #1
 

Prove expansibility / isothermal compressibility

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
 
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Nov22-12, 07:14 PM   #2
 
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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
 
Nov22-12, 11:45 PM   #3
 
Quote by Chestermiller View Post
dV = (∂V/∂T)PdT + (∂V/∂P)TdP

set dV = 0 to evaluate (∂P/∂T)V

Understand. Thank you
 
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