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A batch reactor operating at near room temperature, 25°C, is currently taking six hours to reach ninety percent conversion for an irreversible second-order liquid-phase reaction. Account the time to fill, empty, and clean the reactor, this allows one batch to be handled during an ei hour work shift. ing for ght- There is now pressure to cut the reaction time in half, to three hours, so two batches can be handled during a shift. When the reactor temperature is increased to 35°C, the time to reach ninety percent conversion is reduced to five hours. ine the product of the reaction rate constant and initial reactant concentration (kCAo) that corresponds to achieving ninety percent conversion in six hours, five hours, and three hours. Note that three answers, one for each reaction time, are required. Determine the activation energy for this reaction (or E/R where E is the activation energy and R is the ideal gas constant). Note that the initial reactant concentration (CAo) can be taken to be constant, independent of temperature Specify the reactor temperature that should be used to achieve ninety percent conversion in the desired three hours. This temperature must be known to examine safety issues and to determine the heat transfer requirements associated with the new reactor temperature (although these aspects are not part of the current problem).
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