Calculate Reactor Length for 90% Conversion of Cyclohexane

Question

The decomposition of cyclohexane to benzene and hydrogen is mass transfer limited at high temperatures. The reaction is carried out at 2 atm and 500ºC in a plug-flow packed-bed catalytic reactor, 50 cm in internal diameter. The reactor is packed with spherical catalyst pellets that are 1 cm in diameter. The bed porosity is 40%. The feed entering the reactor is 20% cyclohexane and 80% hydrogen at a volumetric flow rate of 60 liters per minute. You may assume that the value of the mass transfer coefficient, kG, is 0.40 cm/min. Calculate the length of reactor necessary to achieve 90% conversion of cyclohexane.

Summary

The question belongs to Chemical Engineering and it is about cyclohexane to benzene and hydrogen decomposition. The specifics of the reactor are given along with the catalyst. The length of the reactor necessary to achieve the conversion has to be calculated. The solution contains the calculations in detail.

Note: The solution is in handwritten format

 

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