In chemical kinetics, an Arrhenius plot displays the logarithm of a reaction rate constant, plotted against reciprocal of the temperature . Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions. For a single rate-limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre-exponential factor can both be determined. The Arrhenius equation can be given in the form where Taking the natural logarithm of the former equation gives
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| - مخطط أرهينيوس (ar)
- Arrheniusgraph (de)
- Arrhenius plot (en)
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| - مخطط أرهينيوس أو مخطط أرينيوس في الكيمياء (بالإنجليزية: Arrhenius plot) هو رسم بياني تسجل فيه قيم ثابت معدل التفاعل لتفاعل كيميائي لوغاريتمية ومعكوس درجة الحرارة . بذلك يظهر المنحنى الذي من المفروض ان يكون منحنيا آسيا في هيئة منحنى خطيا. تستعمل تلك الطريقة في استخدام القيم اللوغاريتمية لتحويل منحنى آسيا إلى منحنى خطيا، حيث تشمل القيم أعدادا كبيرة تصل ليس فقط إلى عشرات وإنما المئات و الآلاف، وأكبر من ذلك. (ar)
- Als Arrheniusgraphen (auch Arrheniusdarstellung oder Arrheniusplot) wird eine spezielle graphische Darstellung der Temperaturabhängigkeit einer Größe (z. B. die Geschwindigkeitskonstante einer chemischen Reaktion) bezeichnet, in der der Logarithmus der Größe über dem Kehrwert der Temperatur aufgetragen wird. Dadurch werden Zusammenhänge, die mit einer Arrhenius-Gleichung beschreibbar sind, als eine Gerade dargestellt. Verwendet wird diese Art der Auftragung bei verschiedenen chemischen oder physikalischen Vorgängen. (de)
- In chemical kinetics, an Arrhenius plot displays the logarithm of a reaction rate constant, plotted against reciprocal of the temperature . Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions. For a single rate-limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre-exponential factor can both be determined. The Arrhenius equation can be given in the form where Taking the natural logarithm of the former equation gives (en)
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| - Arrhenius plot: ln against 1/. (en)
- Direct plot: against (en)
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| - NO2 Arrhenius k against T.svg (en)
- Arrhenius_plot_with_break_in_y-axis_to_show_intercept.svg (en)
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| - مخطط أرهينيوس أو مخطط أرينيوس في الكيمياء (بالإنجليزية: Arrhenius plot) هو رسم بياني تسجل فيه قيم ثابت معدل التفاعل لتفاعل كيميائي لوغاريتمية ومعكوس درجة الحرارة . بذلك يظهر المنحنى الذي من المفروض ان يكون منحنيا آسيا في هيئة منحنى خطيا. تستعمل تلك الطريقة في استخدام القيم اللوغاريتمية لتحويل منحنى آسيا إلى منحنى خطيا، حيث تشمل القيم أعدادا كبيرة تصل ليس فقط إلى عشرات وإنما المئات و الآلاف، وأكبر من ذلك. (ar)
- In chemical kinetics, an Arrhenius plot displays the logarithm of a reaction rate constant, plotted against reciprocal of the temperature . Arrhenius plots are often used to analyze the effect of temperature on the rates of chemical reactions. For a single rate-limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre-exponential factor can both be determined. The Arrhenius equation can be given in the form where = rate constant = pre-exponential factor = (molar) activation energy = gas constant, . = activation energy (for a single reaction event) = Boltzmann constant = absolute temperature The only difference between the two forms of the expression is the quantity used for the activation energy: the former would have the unit joule/mole, which is common in chemistry, while the latter would have the unit joule and would be for one molecular reaction event, which is common in physics. The different units are accounted for in using either the gas constant or the Boltzmann constant . Taking the natural logarithm of the former equation gives When plotted in the manner described above, the value of the y-intercept (at ) will correspond to , and the slope of the line will be equal to . The values of y-intercept and slope can be determined from the experimental points using simple linear regression with a spreadsheet. The pre-exponential factor, , is an empirical constant of proportionality which has been estimated by various theories which take into account factors such as the frequency of collision between reacting particles, their relative orientation, and the entropy of activation. The expression represents the fraction of the molecules present in a gas which have energies equal to or in excess of activation energy at a particular temperature. In almost all practical cases, , so that this fraction is very small and increases rapidly with . In consequence, the reaction rate constant increases rapidly with temperature , as shown in the direct plot of against . (Mathematically, at very high temperatures so that , would level off and approach as a limit, but this case does not occur under practical conditions.) (en)
- Als Arrheniusgraphen (auch Arrheniusdarstellung oder Arrheniusplot) wird eine spezielle graphische Darstellung der Temperaturabhängigkeit einer Größe (z. B. die Geschwindigkeitskonstante einer chemischen Reaktion) bezeichnet, in der der Logarithmus der Größe über dem Kehrwert der Temperatur aufgetragen wird. Dadurch werden Zusammenhänge, die mit einer Arrhenius-Gleichung beschreibbar sind, als eine Gerade dargestellt. Verwendet wird diese Art der Auftragung bei verschiedenen chemischen oder physikalischen Vorgängen. (de)
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