a) Calculate the concentration of benzoyl peroxide required to prepare polystyre

Question

a) Calculate the concentration of benzoyl peroxide required to prepare polystyrene with a number average molecular weight of 750 kg.mol1 by bulk polymerization at 60 °C (1 point) Assume The initiator is 60% efficient 1) The rate coefficients for initiator dissociation, propagation, and termination are respectively, 210-6 iii) iv) s-1, 341 dm3.mol1.s-1, and 4x107 dm3.mol1.s1 The density of the styrene at the polymerization temperature is 0.88 g.cm" That termination by dissociation and chain transfer are negligible. Polystyrene

Explanation / Answer

The benzoyl peroxide initiated polymerization follows simplest kinetic scheme,

Rp = Kp[M](fkd[I]/kt)1/2

here we have, kp = 341M-1s-1 , kd = 2x10-6s-1, f = 0.6 , kt=4x107M-1s-1 , density = 0.88gcm-3

Rp=341[750](0.6x2x10-6[0.88]/4x107)1/2

= 255750(1.056x10-6/4x107)1/2

=255750(0.264 x 10-13)1/2

= 0.04155s-1

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