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Please show steps. Considering the manufacturing of polyisobutylene, if the isobutylene undergoes a cationic polymerization at a mass concentration of 112.0gL1 and the initiator concentration
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Considering the manufacturing of polyisobutylene, if the isobutylene undergoes a cationic polymerization at a mass concentration of 112.0gL1 and the initiator concentration is 5.0103molL1. Please estimate the monomer consumption rate, Rp and number average molecular weight, Mn of the polyisobutylene. Given that the rate coefficients for initiation, propagation, termination and chain transfer to monomer are 103Lmol1 s1,8.0Lmol1s1,3.0102s1 and 0.05Lmol1s1, respectively. What if the initiator concentration is doubled? Estimate the new Rp and Mn What if the monomer concentration is doubled? Estimate the new Rp and Mn nitiation: R+A+MkiRM1+AlNormallythelossofMfrominitiationisnegligible: Propagation: RMn+A+MkpRMn+1+ARp=dtd[M]=kp[M][M+] Termination: RMn+AktRMn+H+A[M+]=n=1[RMn+]. Chain Transfer: RMn+A+MktrMRMn+HM1+A [M+]=(ktki)[R+A][M]xn=Rterm+RCtransferRp=(ktkikp)[R+A][M]2=kt[M+]+ktrM[M+][M]kp[M][M+]xn1=kp[M]kt+kpktrM It should be noted that xn only depends on monomer concentration not initiator concentration
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