Linearization of the Chemical Reactor Model

Linearization of the reactor model of Eqns. (6.7) and (6.8) is somewhat more complicated. Equation (6.7) can be written as  

Rearranging terms and introducing the Laplace operator results in  

After substitution of the steady-state values into the time constant and process gains of Eqn. (6.46) we get  

The second equation (energy balance) of the reactor model can be rewritten as  

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