Design of CSTR for Chain Polymerisation Reaction

A chain polymerisation reaction is a special type of multiple reaction in which polymeric compounds of differenf chain lengths are produced by a sequence of simultaneous reactions. Reaction is initiated by a monomer molecule M reacting with another monomer molecule to produce a polymer chain P2 having two monomers 

This is followed by a chain of reactions in which one monomer molecule M reacfs with a polymer chain having r monomers to produce a polymer chain having r + 1 monomers. 

Each one of the reaction steps is assumed to be a simple elementary reaction of order 2. All the reaction steps have the same rate constant k. Thus, the rate equations for the reaction steps are as follows  

Cpr concenfrafion of the polymer chain of chain length r (having r monomers) Tp, rate of formation of polymer P, 

Define space time x = V/q and fractional conversion of monomer M, = 1 - (CM/Cnfo). Cf2i is the final concentration of unconverfed monomer in the reactor effluent. Cp2,Cp3. Cp, 

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