Trajectories and Phase-Plane Plots

Therefore, since the conversion is given at 300 K, we can determine fc and the complete rate expression, 

We need to examine the solutions of the reactor mass- and energy-balance equations, starting at Cao, X = 0, T = Ta and proceeding (continuously in a PFTR and discontinuously in a CSTR) to Ca, X, and T at t, z, or L. 

For this we will find it convenient to examine trajectories of Ca(t) or X(r) and T(t) in a phase plane of X versus T. Thus we do not examine explicitly the time or position dependences but instead examine the trajectory followed as the reaction proceeds. 

We can plot lines of constant r for any single reaction, but for simplicity we consider A B, 

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