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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 Combined gas law ： ウィキペディア英語版 Combined gas law The combined gas law is a gas law that combines Charles's law, Boyle's law, and Gay-Lussac's law. There is no official founder for this law; it is merely an amalgamation of the three previously discovered laws. These laws each relate one thermodynamic variable to another mathematically while holding everything else constant. Charles's law states that volume and temperature are directly proportional to each other as long as pressure is held constant. Boyle's law asserts that pressure and volume are inversely proportional to each other at fixed temperature. Finally, Gay-Lussac's law introduces a direct proportionality between temperature and pressure as long as it is at a constant volume. The inter-dependence of these variables is shown in the combined gas law, which clearly states that: This can be stated mathematically as: :$\backslash qquad\; \backslash frac\; =\; k$ where: :''P'' is the pressure :''V '' is the volume :''T '' is the temperature measured in kelvin :''k '' is a constant (with units of energy divided by temperature). For comparing the same substance under two different sets of conditions, the law can be written as: :$\backslash qquad\; \backslash frac\; =\; \backslash frac$ The addition of Avogadro's law to the combined gas law yields the ideal gas law. ==Derivation from the Gas Laws== (詳細はBoyle's Law states that the pressure-volume product is constant: :$PV\; =\; k\_1\; \backslash qquad\; (1)$ Charles's Law shows that the volume is proportional to the absolute temperature: :$\backslash frac\; =\; k\_2\; \backslash qquad\; (2)$ Gay-Lussac's Law says that the pressure is proportional to the absolute temperature: :$P\; =\; k\_3T\; \backslash qquad\; (3)$ where P is the pressure, V the volume and T the absolute temperature of an ideal gas. By combining (1) and either of (2) or (3), we can gain a new equation with P, V and T. If we divide equation (1) by temperature and multiply equation (2) by pressure we will get: :$\backslash frac\; =\; \backslash frac$ :$\backslash frac\; =\; k\_2(P)P$. As the left-hand side of both equations is the same, we arrive at $\backslash frac\; =\; k\_2(P)P$, which obviously means that :$\backslash frac\; =\; const$. Substituting in Avogadro's Law yields the ideal gas equation. 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「Combined gas law」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.