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A Simple Model to Access Equilibrium Constants of Reactions Type A ? B Using Monte Carlo Simulation

机译:访问A型反应平衡常数的简单模型B使用蒙特卡洛模拟

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A simple theoretical model to describe equilibrium properties of homogeneous reversible chemical reactions is proposed and applied to an A ? B type reaction. Forthis purpose the equilibrium properties are analyzed by usual Monte Carlo simulation. It is shown that the equilibrium constant (Ke) for this kind of reaction exhibitsdistinct characteristics for Eba < 1, Eba = 1 and Eba > 1, where Eba is the ratio between the reverse and forward activation energies. For Eba < 1 (Eba > 1) and increase(decrease) the temperature our results recover the principle of Le Ch?atelier appliedto temperature effects. The special and interesting case is obtained for Eba = 1 sinceKe = 1 for all range of temperature. Another important parameter in our analysisis θA, defined as temperature measured with relation the activation energy of theforward reaction. For fixed values of Eba and for θA ? 1 the equilibrium constantapproaches 1, showing that all transitions are equally likely, no matter the differencein the energy barriers. The data obtained in our simulations show the well knownrelationship between Ke, Eb, Ea and kBT . Finally we argue that this theoreticalmodel can be applied to a family of homogeneous chemical reactions characterizedby the same Eba and θA showing the broad application of this stochastic model tostudy chemical reactions. Some of these results will be discussed in terms of collisiontheory.
机译:提出了一个简单的理论模型来描述均相可逆化学反应的平衡性质,并将其应用于A? B型反应。为此,通过常规的蒙特卡洛模拟来分析平衡特性。结果表明,这种反应的平衡常数(Ke)在Eba <1,Eba = 1和Eba> 1时表现出明显的特征,其中Eba是反向活化能与正向活化能之比。对于Eba <1(Eba> 1)并升高(降低)温度,我们的结果恢复了Le Chatelier应用于温度效应的原理。对于Eba = 1,由于在所有温度范围内Ke = 1,因此获得了特殊有趣的情况。我们分析中的另一个重要参数是θA,定义为与正向反应的活化能相关的温度。对于Eba的固定值和θA?从图1可以看出,平衡常数接近1,表明所有跃迁都具有同等可能性,无论能垒如何不同。从我们的仿真中获得的数据显示了Ke,Eb,Ea和kBT之间的众所周知的关系。最后,我们认为该理论模型可以应用于以相同的Eba和θA为特征的均相化学反应家族,这表明该随机模型在化学反应研究中的广泛应用。其中一些结果将根据碰撞理论进行讨论。

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