ورقة بحثية
Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions = علاقات تعاودية لمتوسط توزيع الاحتمالات الاتزاني في حركية التفاعلات الكيميائية

Elsheikh, E Khalifa.


 

Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions = علاقات تعاودية لمتوسط توزيع الاحتمالات الاتزاني في حركية التفاعلات الكيميائية

Elsheikh, E Khalifa.

In this paper we derive recurrence relations that describe how the equilibrium mean of the number molecules of a reactant varies with each of the parameters defining the initial state for four basic reversible chemical reactions. In essence, the relations provide a rationale for updating the equilibrium mean following the addition (or removal) of a molecule of one of the types involved in the reaction, there being a relation for each type. With a new parameterization introduced for each reaction, the relations provide a convenient means of evaluating the means, variances and other important moments without any need to work out the underlying distributions. As an application, the relations are used to numerically assess-approximate expressions for the means and variances.

In this paper we derive recurrence relations that describe how the equilibrium mean of the number molecules of a reactant varies with each of the parameters defining the initial state for four basic reversible chemical reactions. In essence, the relations provide a rationale for updating the equilib...

مادة فرعية

المؤلف : Elsheikh, E Khalifa.

بيانات النشر : Muscat، Sultanate of Oman : Sultan Qaboos Journal of Science، 1997مـ.

التصنيف الموضوعي : العلوم البحتة| .

المواضيع : Chemical Reactions .

التفاعلات الكيميائية .

رقم الطبعة : 1

المصدر : Sultan Qaboos University : Muscat، Sultanate of Oman.

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