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(a) i) Use the steady-state approximation to derive the expression below for the rate of a...

(a) i) Use the steady-state approximation to derive the expression below for the rate of a free radical polymerisation,

–d[M]/dt = kp[M](kdf[I]/kt) ½

ii) Given kd = 1015.2, e ^–128 kJmol–1/RT s –1, and f = 0.7 for AIBN, kp = 107.906, e ^–35.70 kJ mol–1/RT M – 1 s –1 for butadiene, and the data below, what is kt for polymerisation of butadiene in this system?

[Butadiene] (M) [AIBN] (M) Rate (M s–1 ) T (°C)

0.85 1.59 x 10–2 9.37 x 10–3 60

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