A high molecular weight hydrocarbon gas A is fed continuously to a heated high temperature mixed flow reactor where it thermally cracks (homogeneous gas reaction) into lower molecular weight materials, collectively called R, by a stoichiometry approximated by A →5R. By changing the feed rate different extents of cracking are obtained as follows:

The internal void volume of the reactor is V = 0.1 liter, and at the temperature of the reactor the feed concentration is C_Ao = 100 millimol/liter. Find a rate equation to represent the cracking reaction.

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FAO, millimol/hr CA,out, millimol/liter 300 1000 3000 16 30 50 5000 60