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Bridgman's thermodynamic equations : ウィキペディア英語版
Bridgman's thermodynamic equations

In thermodynamics, Bridgman's thermodynamic equations are a basic set of thermodynamic equations, derived using a method of generating a large number of thermodynamic identities involving a number of thermodynamic quantities. The equations are named after the American physicist Percy Williams Bridgman. (See also the exact differential article for general differential relationships).
The extensive variables of the system are fundamental. Only the entropy ''S'' , the volume ''V''  and the four most common thermodynamic potentials will be considered. The four most common thermodynamic potentials are:
:
The first derivatives of the internal energy with respect to its (extensive) natural variables ''S''  and ''V''  yields the intensive parameters of the system - The pressure ''P''  and the temperature ''T'' . For a simple system in which the particle numbers are constant, the second derivatives of the thermodynamic potentials can all be expressed in terms of only three material properties
:
Bridgman's equations are a series of relationships between all of the above quantities.
== Introduction ==

Many thermodynamic equations are expressed in terms of partial derivatives. For example, the expression for the heat capacity at constant pressure is:
:C_P=\left(\frac\right)_P
which is the partial derivative of the enthalpy with respect to temperature while holding pressure constant. We may write this equation as:
:C_P=\frac
This method of rewriting the partial derivative was described by Bridgman (and also Lewis & Randall), and allows the use of the following collection of expressions to express many thermodynamic equations. For example from the equations below we have:
:(\partial H)_P=C_P
and
:(\partial T)_P=1
Dividing, we recover the proper expression for CP.
The following summary restates various partial terms in terms of the thermodyamic potentials, the state parameters S, T, P, V, and the following three material properties which are easily measured experimentally.
:\left(\frac\right)_P = \alpha V
:\left(\frac\right)_T = -\beta_T V
:\left(\frac\right)_P = C_P = c_P N

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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