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Problem 14.14: (Fall 2001) The gas-phase dehydrogenation of propane is carried out according to the reaction C3 H8 (g) = C3 H6 (g) + H2 (g). The reaction takes place in the presence of a catalyst in an isothermal reactor that is maintained at 5 bar. a) Calculate the equilibrium constant at 25 °C. b) Calculate the standard enthalpy of reaction at 25 °C. Is the reaction exothermic or endothermic? c) The reactor feed contains pure propane. If the desired conversion of propane is 95%, at what temperature should you run the reaction? Assume the reaction reaches equilibrium. d) Due to upstream process modifications, the reactor feed has now changed from pure propane into a mixture that contains 50% nitrogen (by mol). If the reactor pressure remains at 5 bar, how should you adjust the temperature to achieve 95% conversion? e) Just as you finished adjusting the temperature to handle the propane/nitrogen feed of the previous part, the compressor malfunctions and the reactor pressure drops to 1 bar. How should you adjust the temperature to achieve 95% conversion? f) Clearly state all the assumptions.
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