and where, for the case of the CSTR reactor and regenerator of equal size,
T ' G ( t ) = T ' R ( t ) = k?-xtThe approach of Equations (40) and (42) is not exact, but alternate deactivation and reactivation greatly reduces interaction in the second half of a cycle. Thus, a comparison of mean activities calculated from Equations (50') and (55') with those from Petersen's equations (50) and (55) showed the latter to be low by about 25% for the once-through makeup catalyst and by about 3% for the total stream (where p = k, = k, = A, / 3 = 0.1).It is worth noting that although the authors, like Petersen, chose to express activity as a function of time, or age, the problem might have been formulated as proposed by Rudd (Can.