Question #234274

b) A homogenous liquid phase reaction with the given stoichiometry and kinetics A→S,-rA=kCA^2, takes place with 50% conversion in a mixed flow reactor. Find the conversion if this reactor is replaced by another mixed flow reactor having volume 6 times that of the original reactor-all else remain unchanged. Find the conversion if the original reactor is replaced by a plug flow of the same size- all else remains unchanged.

Expert's answer

According to the rate of the reaction, the reaction is of second order. The conversion in a mixed flow reactor is, ForFor a mixed flow reactor, the general reactor design equation is

where *V* is the volume of the reactor, is volumetric flow rate, is the initial concentration of A, and −r is the rate of the equation. In Plug flow reactor, where all the terms have similar notations to mixed flow reactor.

a) The volume of the new reactor is 6 times the volume of the original reactor, V'=6*×*V

Therefore,

The conversion can never be greater than 1. So, the conversion is **0.75.**

**b) **In the case of PFR,

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