“…For polymerizations involving long reaction times and where initiator concentrations decrease to very low levels, the dead-end polymerization technique can be used to determine the rate coefficient of initiator decomposition. − At long reaction times, the reaction conversion, x , approaches a limiting value x f . Under these conditions, it can be shown that k d is related to the time, t , and conversion, x , via the following equation: − ln true[ 1 − ln ( 1 − x ) ln ( 1 − x f ) true] = k d t 2 Thus, k d can be easily determined by taking the initial slope from a plot of the left side of eq vs t .…”