Estimation of total order

We shall call the dimensionless quantity 0 the reduced time. It is related to actual time through the equation 

It is perhaps worth mentioning that eqn. (19) is only a special case of eqn. (18) so that it is not necessary to separate the general discussion of reactions with any value of the total order from those with a total order of unity in future, therefore, we shall use the general form (18). 

From any of the above equations, we see that a is a unique function of 0 for a given value of a+b. Fig. 1 shows the characteristic curves of a against logio for (a -i- b) values 0,0.5,1.0,1.5,2.0 the numerical data for these curves are given in Appendix 1. 

It should be noted that the displacement of the log o (f—f o) values from the log o 6 values is related to the rate coefficient k, the initial concentration [A]q, and the stoichiometric ratio r by the expression 

Fractional life method (7). It follows from either eqn. (18) or (19) that 6 is fixed for a given value of a and (a+b). Therefore, if, in a series of experiments at different values of the initial concentrations of A and B throughout which the ratio 

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The methods by which the order with respect to A, a, may be estimated are merely modifications of those described in the previous section. Instead of choosing [BJo such that [B]o/[A]q = r as required for the estimation of total order, we now arrange that [BJo [A]q so that the disappearance of A is followed in the presence of an effectively constant concentration of B. More precisely, we arrange that... 

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