Optimal Temperature Trajectories for First-Order Reversible Reactions

For a first-order reversible reaction, the reaction rate is  

It is convenient to use dimensionless variables (e.g., Millman and Katz [12]) with 

After the optimum value of u is found, the actual temperature is 

It can be shown that for a single reaction this result is equivalent to the problem of the optimum u for a minimum Of with a given x Aris [10] has summarized the results of F. M. J. Horn and others. 

Fournier and Groves [13] have provided useful charts based on Eqs. h and i. With Figs. 1 and 2, both equivalent problems can be readily solved by beginning with the known quantities either a and fi(0f) or a and x f. Other kinetic schemes have also been evaluated by Fournier and Groves [13]. 

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Example 8JJ>-I Optimal Temperature Trajectories for First Order Reversible Reactions... 

OPTIMAL TEMPERATURE TRAJECTORIES FOR FIRST-ORDER REVERSIBLE REACTIONS... 

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