Endothermic Reaction in a Heated Batch Reactor

Consider an irreversible endothermic reaction () in a batch reactor heated by a steam jacket at temperature surrounding the reactor. The jacket heat transfer area and coefficient are and . The reactor volume is . The reaction rate constant is given by , with the activation energy and the universal gas constant . The initial concentration of is and is the initial molar ratio. The initial reactor temperature is 30°C. The mass and energy balances are
,
,
with ,
where is the conversion, is the reactor temperature, is the heat of reaction at 273.15 K, is the initial molar amount of , is the reaction rate, and and are the heat capacities of species and , respectively.
This Demonstration plots the conversion and temperature versus time for values of the steam temperature in the jacket, , and the initial molar ratio, .

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Reference
M. B. Cutlip and M. Shacham, Problem Solving in Chemical Engineering with Numerical Methods, Upper Saddle River, N.J.: Prentice Hall, 1999.
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