. . . "\u30B6\u30C3\u30AF\u30FC\u30EB\u30FB\u30C6\u30C8\u30ED\u30FC\u30C7\u65B9\u7A0B\u5F0F"@ja . . "1119066432"^^ . . "L'\u00E9quation de Sackur-Tetrode, \u00E9tablie en 1912 par les physiciens Otto Sackur et Hugo Tetrode, donne l'entropie d'un gaz parfait monoatomique, non-d\u00E9g\u00E9n\u00E9r\u00E9, non-relativiste. Soit la longueur d'onde thermique de de Broglie : , et le volume correspondant. Alors, l'entropie S = S(U,V,N) du gaz vaut : soit en d\u00E9veloppant : . On pr\u00E9f\u00E8re parfois retenir plut\u00F4t l'enthalpie libre G = U+NkT -TS = -NkT. Ln P/P(T) avec P(T) = kT/ Vo en chimie : G =-RT.LnP +cste(T) est le leitmotiv[Quoi ?] de la loi d'action des masses : on obtient ainsi les ordres de grandeur des Kp(T) de r\u00E9actions."@fr . . . . . . . . . "Sackur\u2013Tetrode equation"@en . . . . . "L'equazione di Sackur\u2013Tetrode \u00E8 un'espressione per l'entropia di un gas ideale classico monoatomico che si avvale di considerazioni quantistiche per giungere ad una formula esatta. La termodinamica classica pu\u00F2 solo fornire l'entropia di un gas classico ideale a meno di una costante. L'equazione di Sackur\u2013Tetrode \u00E8 cos\u00EC chiamata in onore di (1895\u20131931) e (1880\u20131914), i quali la svilupparono indipendentemente come soluzione della statistica dei gas di Boltzmann e dell'equazione dell'entropia, pi\u00F9 o meno contemporaneamente nel 1912. L'equazione di Sackur\u2013Tetrode \u00E8 scritta come: dove V \u00E8 il volume del gas, N \u00E8 il numero di particelle nel gas, U \u00E8 l'energia interna del gas, k \u00E8 la costante di Boltzmann, m \u00E8 la massa di una particella di gas, h \u00E8 la costante di Planck e ln \u00E8 il logaritmo naturale. Vedi il paradosso di Gibbs per una derivazione della equazione di Sackur\u2013Tetrode. Vedi anche l'articolo sul gas ideale per i vincoli posti sull'entropia di un gas ideale in termodinamica. L'equazione di Sackur\u2013Tetrode pu\u00F2 essere scritta in termini di lunghezza d'onda termica . Utilizzando la relazione per un gas ideale classico U = (3/2)NkT per un gas monoatomico d\u00E0 Nota che si assume che il gas sia in regime classico, e che sia descritto dalla statistica di Maxwell-Boltzmann (con il \"conteggio corretto\"). Dalla definizione di lunghezza d'onda termica, consegue che l'equazione di Sackur\u2013Tetrode \u00E8 valida solo per e infatti, l'entropia predetta dall'equazione di Sackur\u2013Tetrode tende a meno infinito per la temperatura che tende a zero."@it . . . . . "\u30B6\u30C3\u30AF\u30FC\u30EB\u30FB\u30C6\u30C8\u30ED\u30FC\u30C7\u65B9\u7A0B\u5F0F\uFF08\u82F1: Sackur\u2013Tetrode equation\uFF09\u307E\u305F\u306F\u30B5\u30C3\u30AB\u30FC\u30FB\u30C6\u30C8\u30ED\u30FC\u30C9\u306E\u5F0F\u306F\u3001\u7D71\u8A08\u529B\u5B66\u306B\u304A\u3044\u3066\u5185\u90E8\u81EA\u7531\u5EA6\u306E\u306A\u3044\u53E4\u5178\u7684\u306A\u7406\u60F3\u6C17\u4F53\u306E\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u3092\u8868\u3059\u72B6\u614B\u65B9\u7A0B\u5F0F\u3067\u3042\u308B\u3002\u5E0C\u30AC\u30B9\u3084\u6C34\u9280\u84B8\u6C17\u306A\u3069\u306E\u5358\u539F\u5B50\u6C17\u4F53\u306E\u6A19\u6E96\u30E2\u30EB\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u306F\u3001\u3053\u306E\u5F0F\u304B\u3089\u8A08\u7B97\u3055\u308C\u308B\u3002\u5206\u5B50\u306E\u56DE\u8EE2\u904B\u52D5\u3084\u5206\u5B50\u632F\u52D5\u306A\u3069\u306E\u5185\u90E8\u81EA\u7531\u5EA6\u304C\u3042\u308B\u7406\u60F3\u6C17\u4F53\u3067\u306F\u3001\u3053\u306E\u5F0F\u304B\u3089\u5206\u5B50\u306E\u4E26\u9032\u904B\u52D5\u306B\u3088\u308B\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u304C\u8A08\u7B97\u3055\u308C\u308B\u30021912\u5E74\u306B\u30C9\u30A4\u30C4\u306E\uFF08Otto Sackur\uFF09\u3068\u30AA\u30E9\u30F3\u30C0\u306E\uFF08Hugo Martin Tetrode\uFF09\u304C\u305D\u308C\u305E\u308C\u72EC\u7ACB\u306B\u5C0E\u3044\u305F\u3002"@ja . . . . "Die Sackur-Tetrode-Gleichung ist eine Formel zur Berechnung der Entropie eines monoatomaren idealen Gases. Sie lautet: mit: Otto Sackur und Hugo Tetrode stellten unabh\u00E4ngig voneinander diese komplexe Gleichung auf."@de . . . . "L'\u00E9quation de Sackur-Tetrode, \u00E9tablie en 1912 par les physiciens Otto Sackur et Hugo Tetrode, donne l'entropie d'un gaz parfait monoatomique, non-d\u00E9g\u00E9n\u00E9r\u00E9, non-relativiste. Soit la longueur d'onde thermique de de Broglie : , et le volume correspondant. Alors, l'entropie S = S(U,V,N) du gaz vaut : soit en d\u00E9veloppant : . On pr\u00E9f\u00E8re parfois retenir plut\u00F4t l'enthalpie libre G = U+NkT -TS = -NkT. Ln P/P(T) avec P(T) = kT/ Vo en chimie : G =-RT.LnP +cste(T) est le leitmotiv[Quoi ?] de la loi d'action des masses : on obtient ainsi les ordres de grandeur des Kp(T) de r\u00E9actions."@fr . . . "Equazione di Sackur-Tetrode"@it . "R\u00F3wnanie Sackura-Tetrodego"@pl . . . . . . . . "The Sackur\u2013Tetrode equation is an expression for the entropy of a monatomic ideal gas. It is named for Hugo Martin Tetrode (1895\u20131931) and Otto Sackur (1880\u20131914), who developed it independently as a solution of Boltzmann's gas statistics and entropy equations, at about the same time in 1912."@en . . . . . . "\u0645\u0639\u0627\u062F\u0644\u0629 \u0633\u0627\u0643\u0648\u0631-\u062A\u064A\u062A\u0631\u0648\u062F\u0647"@ar . "Die Sackur-Tetrode-Gleichung ist eine Formel zur Berechnung der Entropie eines monoatomaren idealen Gases. Sie lautet: mit: Otto Sackur und Hugo Tetrode stellten unabh\u00E4ngig voneinander diese komplexe Gleichung auf."@de . "8625"^^ . "1376120"^^ . . . "\u00C9quation de Sackur-Tetrode"@fr . . "\u0645\u0639\u0627\u062F\u0644\u0629 \u0633\u0627\u0643\u0648\u0631-\u062A\u064A\u062A\u0631\u0648\u062F\u0647 \u0647\u064A \u062A\u0639\u0628\u064A\u0631 \u0639\u0646 \u0625\u0646\u062A\u0631\u0648\u0628\u064A\u0627 \u063A\u0627\u0632 \u0645\u062B\u0627\u0644\u064A \u0623\u062D\u0627\u062F\u064A \u0627\u0644\u0630\u0631\u0629. \u062A\u0645\u062A \u062A\u0633\u0645\u064A\u062A\u0647 \u0639\u0644\u0649 \u0627\u0633\u0645 \u0647\u0648\u063A\u0648 \u0645\u0627\u0631\u062A\u0646 \u062A\u064A\u062A\u0631\u0648\u062F\u0647 (1895-1931) \u0648\u0623\u0648\u062A\u0648 \u0633\u0627\u0643\u0648\u0631 (1880-1914)\u060C \u0627\u0644\u0644\u0630\u064A\u0646 \u0637\u0648\u0631\u0627\u0647 \u0628\u0634\u0643\u0644 \u0645\u0633\u062A\u0642\u0644 \u0643\u062D\u0644 \u0644\u0625\u062D\u0635\u0627\u0621\u0627\u062A \u063A\u0627\u0632 \u0628\u0648\u0644\u062A\u0632\u0645\u0627\u0646 \u0648\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u0625\u0646\u062A\u0631\u0648\u0628\u064A\u0627\u060C \u0641\u064A \u0646\u0641\u0633 \u0627\u0644\u0648\u0642\u062A \u062A\u0642\u0631\u064A\u0628\u064B\u0627 \u0641\u064A \u0639\u0627\u0645 1912."@ar . "R\u00F3wnanie Sackura-Tetrodego \u2013 r\u00F3wnanie opisuj\u0105ce entropi\u0119 jednoatomowego gazu doskona\u0142ego, sformu\u0142owane w latach 1911\u20131913 niezale\u017Cnie przez Ottona Sackura i : gdzie: d\u0142ugo\u015B\u0107 fali materii cz\u0105stek gazu (w tym wypadku jego atom\u00F3w), \u2013 sta\u0142a Eulera, \u2013 liczba moli gazu, \u2013 uniwersalna sta\u0142a gazowa, \u2013 obj\u0119to\u015B\u0107 uk\u0142adu, \u2013 sta\u0142a Avogadra, \u2013 sta\u0142a Plancka, \u2013 masa atomowa, \u2013 sta\u0142a Boltzmanna, \u2013 temperatura bezwzgl\u0119dna. Po podzieleniu przez n otrzymamy entropi\u0119 molow\u0105. Z powy\u017Cszego r\u00F3wnania wynika, \u017Ce zmiana entropii podczas rozpr\u0119\u017Cania izotermicznego wynosi: gdzie: \u2013 obj\u0119to\u015B\u0107 pocz\u0105tkowa, \u2013 obj\u0119to\u015B\u0107 ko\u0144cowa."@pl . "\u0645\u0639\u0627\u062F\u0644\u0629 \u0633\u0627\u0643\u0648\u0631-\u062A\u064A\u062A\u0631\u0648\u062F\u0647 \u0647\u064A \u062A\u0639\u0628\u064A\u0631 \u0639\u0646 \u0625\u0646\u062A\u0631\u0648\u0628\u064A\u0627 \u063A\u0627\u0632 \u0645\u062B\u0627\u0644\u064A \u0623\u062D\u0627\u062F\u064A \u0627\u0644\u0630\u0631\u0629. \u062A\u0645\u062A \u062A\u0633\u0645\u064A\u062A\u0647 \u0639\u0644\u0649 \u0627\u0633\u0645 \u0647\u0648\u063A\u0648 \u0645\u0627\u0631\u062A\u0646 \u062A\u064A\u062A\u0631\u0648\u062F\u0647 (1895-1931) \u0648\u0623\u0648\u062A\u0648 \u0633\u0627\u0643\u0648\u0631 (1880-1914)\u060C \u0627\u0644\u0644\u0630\u064A\u0646 \u0637\u0648\u0631\u0627\u0647 \u0628\u0634\u0643\u0644 \u0645\u0633\u062A\u0642\u0644 \u0643\u062D\u0644 \u0644\u0625\u062D\u0635\u0627\u0621\u0627\u062A \u063A\u0627\u0632 \u0628\u0648\u0644\u062A\u0632\u0645\u0627\u0646 \u0648\u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0627\u0644\u0625\u0646\u062A\u0631\u0648\u0628\u064A\u0627\u060C \u0641\u064A \u0646\u0641\u0633 \u0627\u0644\u0648\u0642\u062A \u062A\u0642\u0631\u064A\u0628\u064B\u0627 \u0641\u064A \u0639\u0627\u0645 1912."@ar . . . . "La ecuaci\u00F3n de Sackur-Tetrode es una expresi\u00F3n para la entrop\u00EDa de un gas ideal cl\u00E1sico y que incorpora consideraciones cu\u00E1nticas que dan una descripci\u00F3n m\u00E1s detallada de su r\u00E9gimen de validez. La ecuaci\u00F3n de Sackur\u2013Tetrode recibe su nombre en honor de \u200B (1895\u20131931) y \u200B (1880\u20131914), quienes la desarrollaron al mismo tiempo de forma independiente en 1912, como una soluci\u00F3n a la estad\u00EDstica de Boltzmann de un gas y a las ecuaciones de entrop\u00EDa."@es . "Ecuaci\u00F3n de Sackur-Tetrode"@es . . . . "\u30B6\u30C3\u30AF\u30FC\u30EB\u30FB\u30C6\u30C8\u30ED\u30FC\u30C7\u65B9\u7A0B\u5F0F\uFF08\u82F1: Sackur\u2013Tetrode equation\uFF09\u307E\u305F\u306F\u30B5\u30C3\u30AB\u30FC\u30FB\u30C6\u30C8\u30ED\u30FC\u30C9\u306E\u5F0F\u306F\u3001\u7D71\u8A08\u529B\u5B66\u306B\u304A\u3044\u3066\u5185\u90E8\u81EA\u7531\u5EA6\u306E\u306A\u3044\u53E4\u5178\u7684\u306A\u7406\u60F3\u6C17\u4F53\u306E\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u3092\u8868\u3059\u72B6\u614B\u65B9\u7A0B\u5F0F\u3067\u3042\u308B\u3002\u5E0C\u30AC\u30B9\u3084\u6C34\u9280\u84B8\u6C17\u306A\u3069\u306E\u5358\u539F\u5B50\u6C17\u4F53\u306E\u6A19\u6E96\u30E2\u30EB\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u306F\u3001\u3053\u306E\u5F0F\u304B\u3089\u8A08\u7B97\u3055\u308C\u308B\u3002\u5206\u5B50\u306E\u56DE\u8EE2\u904B\u52D5\u3084\u5206\u5B50\u632F\u52D5\u306A\u3069\u306E\u5185\u90E8\u81EA\u7531\u5EA6\u304C\u3042\u308B\u7406\u60F3\u6C17\u4F53\u3067\u306F\u3001\u3053\u306E\u5F0F\u304B\u3089\u5206\u5B50\u306E\u4E26\u9032\u904B\u52D5\u306B\u3088\u308B\u30A8\u30F3\u30C8\u30ED\u30D4\u30FC\u304C\u8A08\u7B97\u3055\u308C\u308B\u30021912\u5E74\u306B\u30C9\u30A4\u30C4\u306E\uFF08Otto Sackur\uFF09\u3068\u30AA\u30E9\u30F3\u30C0\u306E\uFF08Hugo Martin Tetrode\uFF09\u304C\u305D\u308C\u305E\u308C\u72EC\u7ACB\u306B\u5C0E\u3044\u305F\u3002"@ja . "R\u00F3wnanie Sackura-Tetrodego \u2013 r\u00F3wnanie opisuj\u0105ce entropi\u0119 jednoatomowego gazu doskona\u0142ego, sformu\u0142owane w latach 1911\u20131913 niezale\u017Cnie przez Ottona Sackura i : gdzie: d\u0142ugo\u015B\u0107 fali materii cz\u0105stek gazu (w tym wypadku jego atom\u00F3w), \u2013 sta\u0142a Eulera, \u2013 liczba moli gazu, \u2013 uniwersalna sta\u0142a gazowa, \u2013 obj\u0119to\u015B\u0107 uk\u0142adu, \u2013 sta\u0142a Avogadra, \u2013 sta\u0142a Plancka, \u2013 masa atomowa, \u2013 sta\u0142a Boltzmanna, \u2013 temperatura bezwzgl\u0119dna. Po podzieleniu przez n otrzymamy entropi\u0119 molow\u0105. Z powy\u017Cszego r\u00F3wnania wynika, \u017Ce zmiana entropii podczas rozpr\u0119\u017Cania izotermicznego wynosi: gdzie: \u2013 obj\u0119to\u015B\u0107 pocz\u0105tkowa, \u2013 obj\u0119to\u015B\u0107 ko\u0144cowa."@pl . . . . . . "Sackur-Tetrode-Gleichung"@de . . . "La ecuaci\u00F3n de Sackur-Tetrode es una expresi\u00F3n para la entrop\u00EDa de un gas ideal cl\u00E1sico y que incorpora consideraciones cu\u00E1nticas que dan una descripci\u00F3n m\u00E1s detallada de su r\u00E9gimen de validez. La ecuaci\u00F3n de Sackur\u2013Tetrode recibe su nombre en honor de \u200B (1895\u20131931) y \u200B (1880\u20131914), quienes la desarrollaron al mismo tiempo de forma independiente en 1912, como una soluci\u00F3n a la estad\u00EDstica de Boltzmann de un gas y a las ecuaciones de entrop\u00EDa."@es . . . "The Sackur\u2013Tetrode equation is an expression for the entropy of a monatomic ideal gas. It is named for Hugo Martin Tetrode (1895\u20131931) and Otto Sackur (1880\u20131914), who developed it independently as a solution of Boltzmann's gas statistics and entropy equations, at about the same time in 1912."@en . . . "L'equazione di Sackur\u2013Tetrode \u00E8 un'espressione per l'entropia di un gas ideale classico monoatomico che si avvale di considerazioni quantistiche per giungere ad una formula esatta. La termodinamica classica pu\u00F2 solo fornire l'entropia di un gas classico ideale a meno di una costante. L'equazione di Sackur\u2013Tetrode \u00E8 cos\u00EC chiamata in onore di (1895\u20131931) e (1880\u20131914), i quali la svilupparono indipendentemente come soluzione della statistica dei gas di Boltzmann e dell'equazione dell'entropia, pi\u00F9 o meno contemporaneamente nel 1912. L'equazione di Sackur\u2013Tetrode \u00E8 scritta come:"@it . . . . . .