Full Arrhenius form in non-adiabatic reactor

The line retains the same slope as that given above, but its intercept moves up the 0ad axis as y increases, tending to infinity as y approaches The equation for the cusp is slightly more complex and is again most easily expressed parametrically. The appropriate values for the adiabatic temperature excess must be obtained from a quadratic equation before it can be used to determine tn. Thus, for any given y i, the cusp is described by 

If the temperature difference 0C between the heat bath and the inflow is greater than zero, we can have the opposite effect to Newtonian cooling, with a net flow of heat into the reactor through the walls. With his possibility, two more stationary-state patterns can be observed, giving a total of seven different forms—the same seven seen before in cubic autocatalysis with the additional uncatalysed step (the two new patterns then required negative values for the rate constant) or with reverse reactions included and c0 ja0 ( 6.6). 

now we may reasonably begin to wonder whether the continued appearance of these seven patterns is typical in a wider context and stems from some cause common to all these models. We will see that this is indeed so. 

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