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Concepts in Thermal Physics$

Stephen J. Blundell and Katherine M. Blundell

Print publication date: 2009

Print ISBN-13: 9780199562091

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780199562091.001.0001

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(p.481) F Thermodynamic expansion formulae

(p.481) F Thermodynamic expansion formulae

Source:
Concepts in Thermal Physics
Publisher:
Oxford University Press

Table F.1 Expansion formulae for first-order partial derivatives of thermal variables. (After E.W. Dearden, Eur. J. Phys. 16 76 (1995).)

(*)T

(*)P

(*)V

(*)S

(*)U

(*)H

(*)F

(∂G)

−1

S/V

κ Sα V

α SCp/T

S(T αP κ) − Cp + PV α

S(T α − 1 )− Cp

SP(κ SV α)

(∂F)

κ P

−(S/V ) − P α

κ S

αS − p κ CV/T

S(T αP κ) − P κ CV

S(T α − 1)

0

(∂H)

T α − 1

Cp/V

κ CVV α

Cp/T

P(κ CV + V α)−Cp

0

(∂U)

T αp κ

(Cp/V) − P α

κ CV

P κ CV/T

0

(∂S)

α

Cp/TV

κ CV/T

0

(∂V)

κ

α

0

(∂P)

−1/V

0

Table F.1 contains a listing of various partial derivatives, some of which have been derived in this book. To evaluate a partial differential, one has to take the ratio of two terms in this table using the equation

( x y ) z = ( x ) z ( y ) z .
(F.1)
Note that (∂A)B ≡ −(∂B)A.