#### 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, *T*_{01}. 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, *T*_{s}_{1}, by following a vertical line down to the *T*-axis and reading off the temperature, *T*_{s}_{1}, as shown in Figure 12-11.

**Figure 12-11. Finding multiple steady states with ***T*_{0} varied.

If one were now to increase the entering temperature to *T*_{02}, the *G*(*T*) curve, ...