The component material balance of a non-isothermal, constant holdup (of volume V

Question

The component material balance of a non-isothermal, constant holdup (of volume V), constant throughput (of flow rate F) stirred tank reactor with a first-order irreversible reaction (of rate constant k) is described by a first-order non-linear ordinary differential equation: where the reaction rate constant k is a function of temperature: The term, kC_A is responsible for the non-linearity because of facts that the rate constant is non-linear function of reactor temperature, T, and also includes the product of the rate constant and reactant concentration. Derive the transfer function function for this system. The output of this system is the reactant concentration and the inputs are the reactant concentration in the feed, C_A,f and the reactor temperature, T.

Explanation / Answer

The component material balance of a non-isothermal, constant holdup (of volume V

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