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To determine the stability of a steady-state of a CSTR in which a first-order reaction of the form AkB takes place, find the eigenvalues of
To determine the stability of a steady-state of a CSTR in which a first-order reaction of the form AkB takes place, find the eigenvalues of the stability matrix (Jacobian), given here: 1kCPSHRkkcAsTS2EVRCPSAUo1CPSTS22HREkCAs Here Ts and cAs are the steady-state values of the temperature and concentration of the reactant, A, respectively. The steady-state is stable if and only if the real parts of both eigenvalues are negative. Show that any steady-state is stable for an endothermic first-order reaction (HR>0) occurring in an adiabatic CSTR (U0)
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