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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Relations between heat capacities ： ウィキペディア英語版 Relations between heat capacities In thermodynamics, the heat capacity at constant volume, $C\_$, and the heat capacity at constant pressure, $C\_$, are extensive properties that have the dimension of energy divided by temperature. == Relations == The laws of thermodynamics imply the following relations between these two heat capacities (Gaskell 2003:23): :$C\_\; -\; C\_=\; V\; T\backslash frac\}\backslash ,$ :$\backslash frac\}=\backslash frac\}\backslash ,$ Here $\backslash alpha$ is the thermal expansion coefficient: :$\backslash alpha=\backslash frac\backslash left(\backslash frac\backslash right)\_\backslash ,$ $\backslash beta\_$ is the isothermal compressibility: :$\backslash beta\_=-\backslash frac\backslash left(\backslash frac\backslash right)\_\backslash ,$ and $\backslash beta\_$ is the isentropic compressibility: :$\backslash beta\_=-\backslash frac\backslash left(\backslash frac\backslash right)\_\backslash ,$ A corresponding expression for the difference in specific heat capacities (intensive properties) at constant volume and constant pressure is: :$c\_p\; -\; c\_v\; =\; \backslash frac$ where ρ is the density of the substance under the applicable conditions. The corresponding expression for the ratio of specific heat capacities remains the same since the thermodynamic system size-dependent quantities, whether on a per mass or per mole basis, cancel out in the ratio because specific heat capacities are intensive properties. Thus: :$\backslash frac\}=\backslash frac\}\backslash ,$ The difference relation allows one to obtain the heat capacity for solids at constant volume which is not readily measured in terms of quantities that are more easily measured. The ratio relation allows one to express the isentropic compressibility in terms of the heat capacity ratio. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Relations between heat capacities」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.