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Essentials of Chemical Reaction Engineering by H. Scott Fogler

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12.5.3 Ignition-Extinction Curve

The points of intersection of R(T) and G(T) give us the temperature at which the reactor can operate at steady state. Suppose that we begin to feed our reactor at some relatively low temperature, T01. If we construct our G(T) and R(T) curves, illustrated by curves y and a, respectively, in Figure 12-11, we see that there will be only one point of intersection, point 1. From this point of intersection, one can find the steady-state temperature in the reactor, Ts1, by following a vertical line down to the T-axis and reading off the temperature, Ts1, as shown in Figure 12-11.

Figure 12-11. Finding multiple steady states with T0 varied.

If one were now to increase the entering temperature to T02, the G(T) curve, ...

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